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

Time bar (total: 8.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.7s (21.1%)

Memory
27.6MiB live, 1 842.8MiB allocated; 419ms collecting garbage
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 830.0ms
ival-sin: 425.0ms (51.2% of total)
ival-mult: 191.0ms (23% of total)
ival-cos: 166.0ms (20% of total)
ival-add: 38.0ms (4.6% of total)
ival-true: 5.0ms (0.6% of total)
adjust: 3.0ms (0.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain157.0ms (2%)

Memory
-10.2MiB live, 132.7MiB allocated; 30ms collecting garbage
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
75.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-sin: 37.0ms (63.5% of total)
ival-cos: 11.0ms (18.9% of total)
ival-mult: 7.0ms (12% of total)
ival-add: 2.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess256.0ms (3.2%)

Memory
37.2MiB live, 272.5MiB allocated; 37ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03584
19281
218881
333081
463281
5145081
6359681
7669081
089
0139
1269
2479
3959
41889
54509
611499
726039
852939
082348
Stop Event
iter limit
node limit
iter limit
node limit
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
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune2.0ms (0%)

Memory
-41.1MiB live, 2.9MiB allocated; 5ms collecting garbage
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)

simplify181.0ms (2.2%)

Memory
17.1MiB live, 216.7MiB allocated; 23ms collecting garbage
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-diff1
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12624
24724
39524
418824
545024
6114924
7260324
8529324
0823423
Stop Event
iter limit
node limit
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)

localize59.0ms (0.7%)

Memory
-3.9MiB live, 90.6MiB allocated; 18ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 y)
accuracy0.01171875
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy0.09375
(*.f64 z (cos.f64 y))
accuracy0.125
(*.f64 x (sin.f64 y))
Samples
53.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-cos: 18.0ms (52.9% of total)
ival-sin: 11.0ms (32.3% of total)
ival-mult: 3.0ms (8.8% of total)
ival-add: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
-8.5MiB live, 35.2MiB allocated; 7ms collecting garbage
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
4.0ms
z
@inf
((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
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
@0
((+ (* 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))

simplify192.0ms (2.4%)

Memory
-13.8MiB live, 330.6MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109288
1417284
21479274
33945272
47797272
08009241
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 z y) #s(literal -1/2 binary64) 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 (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 (*.f64 #s(literal 1/120 binary64) 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 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) x) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) 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)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
(+ 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)))))
(fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 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
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(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))

rewrite184.0ms (2.3%)

Memory
33.9MiB live, 268.5MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
13921
225121
3262921
0833320
Stop Event
iter limit
node limit
iter limit
Counts
5 → 271
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 (/.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 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #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 (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 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(*.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 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.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 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))))
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (/.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))
(fma.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 #s(literal 0 binary64) (sin.f64 y) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(sin.f64 (+.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 y))
(cos.f64 y)
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))))
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))

eval90.0ms (1.1%)

Memory
-26.5MiB live, 70.6MiB allocated; 17ms collecting garbage
Compiler

Compiled 7 595 to 796 computations (89.5% saved)

prune52.0ms (0.7%)

Memory
9.2MiB live, 48.6MiB allocated; 15ms collecting garbage
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New27914293
Fresh000
Picked101
Done000
Total28014294
Accuracy
99.9%
Counts
294 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.8%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
47.0%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
23.7%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
57.6%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
17.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
57.9%
(/.f64 (-.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 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
99.7%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))))
73.9%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
55.7%
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
50.5%
#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))
50.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
51.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
62.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Compiler

Compiled 602 to 372 computations (38.2% saved)

simplify175.0ms (2.2%)

Memory
16.1MiB live, 201.1MiB allocated; 74ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 y) z)
cost-diff0
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))
cost-diff15
(/.f64 (-.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 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
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-diff0
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
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
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029187
049170
189170
2186170
3542170
41693170
55626170
08064170
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(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(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
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) 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
(sqrt.f64 x)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
(/.f64 (-.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 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 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)
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)
x
(fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.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(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
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) 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
(sqrt.f64 x)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
z
(/.f64 (-.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 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(-.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 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #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)
y
z
#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)
x
(fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)

localize157.0ms (1.9%)

Memory
7.8MiB live, 198.5MiB allocated; 24ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
accuracy0.11328125
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy1.257810435830206
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))
accuracy10.95774485437822
(/.f64 (-.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 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
accuracy0.09603500976844201
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
accuracy0.12109375
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy1.9305400392030563
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
accuracy6.994111169979229
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))
accuracy0.0
(cos.f64 y)
accuracy0.03125
(*.f64 (cos.f64 y) z)
accuracy13.520148254307673
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
accuracy0.0
(fma.f64 y x z)
accuracy15.98719404958392
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy0.0
(sin.f64 y)
accuracy0.0
(cos.f64 y)
accuracy0.015625
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy0.0546875
(*.f64 (sin.f64 y) x)
Samples
104.0ms132×0valid
30.0ms124×0invalid
Compiler

Compiled 184 to 29 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-sin: 45.0ms (41% of total)
ival-mult: 38.0ms (34.6% of total)
ival-pow2: 7.0ms (6.4% of total)
ival-add: 6.0ms (5.5% of total)
ival-cos: 6.0ms (5.5% of total)
ival-sqrt: 3.0ms (2.7% of total)
ival-div: 2.0ms (1.8% of total)
ival-sub: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series92.0ms (1.1%)

Memory
-16.7MiB live, 183.4MiB allocated; 49ms collecting garbage
Counts
16 → 73
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
(*.f64 (sin.f64 y) x)
(sin.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 (cos.f64 y) z)
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(/.f64 (-.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 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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))
Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
z
(+ z (* x y))
(* (sqrt x) (sin y))
(* x (pow (sin y) 2))
(* (pow z 2) (pow (cos y) 2))
(+ (* -1 (* (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)))
(* x y)
(* x (+ y (/ z x)))
(* -1 (* (pow x 2) (pow (sin y) 2)))
(* (pow x 2) (- (/ (* (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 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y (+ 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))))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2)))))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2)))))))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x))))))))
(* 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))))
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(pow z 2)
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 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))
(* (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)))
(cos y)
(sin y)
(* y (+ x (/ z y)))
(pow (sin y) 2)
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y))))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* (pow z 2) (+ (* -1 (/ (* (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 (* z (- (* -1 (/ (* x y) z)) 1)))
Calls

9 calls:

TimeVariablePointExpression
56.0ms
z
@inf
((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))
9.0ms
y
@inf
((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))
6.0ms
x
@inf
((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))
5.0ms
x
@0
((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))
4.0ms
x
@-inf
((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))

simplify162.0ms (2%)

Memory
20.7MiB live, 291.6MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02971044
111141019
24293994
08459913
Stop Event
iter limit
node limit
Counts
73 → 71
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
z
(+ z (* x y))
(* (sqrt x) (sin y))
(* x (pow (sin y) 2))
(* (pow z 2) (pow (cos y) 2))
(+ (* -1 (* (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)))
(* x y)
(* x (+ y (/ z x)))
(* -1 (* (pow x 2) (pow (sin y) 2)))
(* (pow x 2) (- (/ (* (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 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y (+ 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))))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2)))))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2)))))))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x))))))))
(* 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))))
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(pow z 2)
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 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))
(* (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)))
(cos y)
(sin y)
(* y (+ x (/ z y)))
(pow (sin y) 2)
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y))))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* (pow z 2) (+ (* -1 (/ (* (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 (* z (- (* -1 (/ (* x y) z)) 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))
(* x (sin y))
(*.f64 (sin.f64 y) x)
z
(+ z (* x y))
(fma.f64 x y z)
(* (sqrt x) (sin y))
(*.f64 (sqrt.f64 x) (sin.f64 y))
(* x (pow (sin y) 2))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(* (pow z 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(* (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)
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* (pow x 2) (pow (sin y) 2)))
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) x) (/.f64 z x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.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 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) (sin.f64 y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) 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 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 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 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.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)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y)
(+ 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)))))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) y) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) y) #s(literal -1/6 binary64) (sqrt.f64 x)) y)
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) y))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) y) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) (sqrt.f64 x))) y) y (*.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) y))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) x) 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 #s(literal 2/45 binary64) (*.f64 (*.f64 y y) x) (*.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 #s(literal -1/315 binary64) (*.f64 (*.f64 y y) x) (*.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)) (-.f64 (*.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)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64)) y) y) #s(literal 1/3 binary64)) (*.f64 y y))
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) z))) y x) y z)
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) z))) (neg.f64 (/.f64 x z)) (*.f64 #s(literal -1/3 binary64) x)) y z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) z))) y x) y z)
(pow z 2)
(*.f64 z z)
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))
(fma.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 z z))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x)))) (*.f64 y y) (*.f64 z z))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/45 binary64) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (*.f64 x x)))) (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x)))) (*.f64 y y) (*.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)))))
(* (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 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/3 binary64) (*.f64 x x)) y) y)
(* (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 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal 2/45 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) x) x)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1/315 binary64) (*.f64 (*.f64 #s(literal 2/45 binary64) x) x)) y) y (*.f64 (*.f64 #s(literal -1/3 binary64) x) x)) (*.f64 y y) (*.f64 x x)) (*.f64 y y))
(cos y)
(cos.f64 y)
(sin y)
(sin.f64 y)
(* y (+ x (/ z y)))
(*.f64 (+.f64 (/.f64 z y) x) y)
(pow (sin y) 2)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (+.f64 (/.f64 z y) x) y)
(* 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 z x) (/.f64 y z) z)
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) z) (/.f64 x (neg.f64 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 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)) (neg.f64 z))

rewrite290.0ms (3.6%)

Memory
26.9MiB live, 359.3MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029131
049108
1193106
21245106
08855106
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 541
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
(*.f64 (sin.f64 y) x)
(sin.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 (cos.f64 y) z)
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(/.f64 (-.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 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (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))
Outputs
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(*.f64 (/.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 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(*.f64 (/.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 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.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)))) #s(literal 2 binary64)) (pow.f64 (/.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)))) #s(literal 2 binary64))) (+.f64 (/.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 (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 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sin.f64 y))) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sin.f64 y))))) (fma.f64 z (cos.f64 y) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (sin.f64 y))) (sqrt.f64 x)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (sin.f64 y))) (sqrt.f64 x)))) (fma.f64 z (cos.f64 y) (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (sin.f64 y))) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)))
(/.f64 (-.f64 (pow.f64 (/.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)))) #s(literal 3 binary64)) (pow.f64 (/.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)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.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)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.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)))) #s(literal 2 binary64)) (*.f64 (/.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 (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 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sin.f64 y))) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sin.f64 y))) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sin.f64 y)))))))
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eval281.0ms (3.5%)

Memory
-8.1MiB live, 421.9MiB allocated; 109ms collecting garbage
Compiler

Compiled 47 717 to 3 809 computations (92% saved)

prune68.0ms (0.8%)

Memory
-18.4MiB live, 127.2MiB allocated; 17ms collecting garbage
Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New1 306221 328
Fresh639
Picked235
Done000
Total1 314281 342
Accuracy
99.9%
Counts
1 342 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
51.3%
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
47.0%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
23.7%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
41.4%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 x)) (*.f64 z (cos.f64 y)))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
73.9%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
53.5%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
33.6%
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
20.6%
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
55.7%
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
88.0%
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
39.1%
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))
50.5%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (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))
50.7%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
92.0%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
51.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
30.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
51.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 x y) z))
62.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))))) z))
39.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z))
62.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
35.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
36.3%
#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))
38.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
47.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
17.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
36.0%
#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 1 254 to 796 computations (36.5% saved)

simplify174.0ms (2.2%)

Memory
13.8MiB live, 187.1MiB allocated; 41ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)
cost-diff0
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))
cost-diff0
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
cost-diff2
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
cost-diff0
(+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff0
(*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z))
cost-diff5
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 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
(/.f64 (sin.f64 y) z)
cost-diff0
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
cost-diff0
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
cost-diff0
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049308
078293
1138287
2332287
31099287
43824287
57766287
08052281
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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))) #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)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z))
(*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z)
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 y)
y
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
z
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
y
#s(literal 2 binary64)
z
(fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
x
(sin.f64 y)
Outputs
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) #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) (* (sin y) x)) #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)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z)
(*.f64 (cos.f64 y) z)
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 y)
(+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))
(neg.f64 y)
y
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
z
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)))
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
y
#s(literal 2 binary64)
z
(fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
x
(sin.f64 y)

localize303.0ms (3.8%)

Memory
-22.6MiB live, 480.9MiB allocated; 93ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)
accuracy0.244472509768442
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy21.840682265489644
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))
accuracy26.76013903506536
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
accuracy0.0078125
(+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.09375
(*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z)
accuracy23.733232628251134
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z))
accuracy28.228772631218874
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy0.08203125
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy3.3050554266929955
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
accuracy23.733232628251134
#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)))
accuracy31.702375794527384
#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)
accuracy30.504295778108247
#s(approx (+ (* y x) z) (*.f64 x y))
accuracy30.810772247945717
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
accuracy0.0
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
accuracy0.07421875
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
accuracy0.1015625
(/.f64 (sin.f64 y) z)
accuracy5.076444932282637
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
Samples
218.0ms128×1valid
46.0ms128×0valid
Compiler

Compiled 232 to 45 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 200.0ms
ival-mult: 45.0ms (22.6% of total)
adjust: 44.0ms (22.1% of total)
ival-cos: 36.0ms (18% of total)
ival-sin: 28.0ms (14% of total)
ival-add: 13.0ms (6.5% of total)
ival-div: 12.0ms (6% of total)
ival-pow2: 10.0ms (5% of total)
const: 6.0ms (3% of total)
ival-sub: 2.0ms (1% of total)
ival-neg: 2.0ms (1% of total)
ival-pi: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series75.0ms (0.9%)

Memory
32.9MiB live, 125.8MiB allocated; 6ms collecting garbage
Counts
21 → 91
Calls
Call 1
Inputs
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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)
#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)))
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z))
(*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z)
(+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
z
(+ z (* x y))
(* x y)
(* (pow z 2) (pow (cos y) 2))
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ y (/ z x)))
(* -1 (* (pow x 2) (pow (sin y) 2)))
(* (pow x 2) (- (/ (* (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 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -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
(+ 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))))))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1 (* y (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* y (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* y (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* y (+ (* -1 (cos (* 1/2 (PI)))) (* y (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* y (cos (* 1/2 (PI))))))))))
(* z (sin (* 1/2 (PI))))
(+ (* -1 (* y (* z (cos (* 1/2 (PI)))))) (* z (sin (* 1/2 (PI)))))
(+ (* y (+ (* -1 (* z (cos (* 1/2 (PI))))) (* -1/2 (* y (* z (sin (* 1/2 (PI)))))))) (* z (sin (* 1/2 (PI)))))
(+ (* y (+ (* -1 (* z (cos (* 1/2 (PI))))) (* y (+ (* -1/2 (* z (sin (* 1/2 (PI))))) (* 1/6 (* y (* z (cos (* 1/2 (PI)))))))))) (* z (sin (* 1/2 (PI)))))
(* 1/2 (PI))
(+ (* -1 y) (* 1/2 (PI)))
(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))
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(+ z (* -1 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (sin y) z)
(* 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 (- (* 1/2 (PI)) y))
(* z (sin (- (* 1/2 (PI)) y)))
(* -1 y)
(* y (- (* 1/2 (/ (PI) y)) 1))
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y))))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(* z (pow (cos y) 2))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(pow (cos y) 2)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(sin (+ (* -1 y) (* 1/2 (PI))))
(* z (sin (+ (* -1 y) (* 1/2 (PI)))))
(* -1 (* y (+ 1 (* -1/2 (/ (PI) y)))))
(/ (+ (* 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) z)))
(* (pow z 2) (+ (* -1 (/ (* (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 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
Calls

9 calls:

TimeVariablePointExpression
26.0ms
z
@inf
((+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* 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)) (sin (+ (neg y) (/ (PI) 2))) (+ (* x (sin y)) (* z (cos y))) (* (sin (+ (neg y) (/ (PI) 2))) z) (+ (neg y) (/ (PI) 2)) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (+ (* 1/24 (* y y)) -1/2) (pow (cos y) 2))
18.0ms
y
@-inf
((+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* 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)) (sin (+ (neg y) (/ (PI) 2))) (+ (* x (sin y)) (* z (cos y))) (* (sin (+ (neg y) (/ (PI) 2))) z) (+ (neg y) (/ (PI) 2)) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (+ (* 1/24 (* y y)) -1/2) (pow (cos y) 2))
10.0ms
z
@0
((+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* 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)) (sin (+ (neg y) (/ (PI) 2))) (+ (* x (sin y)) (* z (cos y))) (* (sin (+ (neg y) (/ (PI) 2))) z) (+ (neg y) (/ (PI) 2)) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (+ (* 1/24 (* y y)) -1/2) (pow (cos y) 2))
6.0ms
z
@-inf
((+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* 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)) (sin (+ (neg y) (/ (PI) 2))) (+ (* x (sin y)) (* z (cos y))) (* (sin (+ (neg y) (/ (PI) 2))) z) (+ (neg y) (/ (PI) 2)) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (+ (* 1/24 (* y y)) -1/2) (pow (cos y) 2))
4.0ms
y
@inf
((+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* 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)) (sin (+ (neg y) (/ (PI) 2))) (+ (* x (sin y)) (* z (cos y))) (* (sin (+ (neg y) (/ (PI) 2))) z) (+ (neg y) (/ (PI) 2)) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (+ (* 1/24 (* y y)) -1/2) (pow (cos y) 2))

simplify171.0ms (2.1%)

Memory
6.9MiB live, 233.9MiB allocated; 30ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03171184
110981141
240481120
081961043
Stop Event
iter limit
node limit
Counts
91 → 90
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
z
(+ z (* x y))
(* x y)
(* (pow z 2) (pow (cos y) 2))
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ y (/ z x)))
(* -1 (* (pow x 2) (pow (sin y) 2)))
(* (pow x 2) (- (/ (* (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 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -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
(+ 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))))))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1 (* y (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* y (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* y (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* y (+ (* -1 (cos (* 1/2 (PI)))) (* y (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* y (cos (* 1/2 (PI))))))))))
(* z (sin (* 1/2 (PI))))
(+ (* -1 (* y (* z (cos (* 1/2 (PI)))))) (* z (sin (* 1/2 (PI)))))
(+ (* y (+ (* -1 (* z (cos (* 1/2 (PI))))) (* -1/2 (* y (* z (sin (* 1/2 (PI)))))))) (* z (sin (* 1/2 (PI)))))
(+ (* y (+ (* -1 (* z (cos (* 1/2 (PI))))) (* y (+ (* -1/2 (* z (sin (* 1/2 (PI))))) (* 1/6 (* y (* z (cos (* 1/2 (PI)))))))))) (* z (sin (* 1/2 (PI)))))
(* 1/2 (PI))
(+ (* -1 y) (* 1/2 (PI)))
(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))
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(+ z (* -1 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (sin y) z)
(* 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 (- (* 1/2 (PI)) y))
(* z (sin (- (* 1/2 (PI)) y)))
(* -1 y)
(* y (- (* 1/2 (/ (PI) y)) 1))
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y))))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(* z (pow (cos y) 2))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(pow (cos y) 2)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(sin (+ (* -1 y) (* 1/2 (PI))))
(* z (sin (+ (* -1 y) (* 1/2 (PI)))))
(* -1 (* y (+ 1 (* -1/2 (/ (PI) y)))))
(/ (+ (* 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) z)))
(* (pow z 2) (+ (* -1 (/ (* (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 (* 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 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
z
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* (pow z 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* 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 x (sin.f64 y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) x)
(* x (+ y (/ z x)))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* (pow x 2) (pow (sin y) 2)))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) x) (/.f64 z x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.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 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) 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 z y) #s(literal -1/2 binary64) 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 (-.f64 (*.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 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y 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 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) (/.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 y y) (/.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)))))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 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)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(sin (* 1/2 (PI)))
(sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (sin (* 1/2 (PI))) (* -1 (* y (cos (* 1/2 (PI))))))
(fma.f64 (neg.f64 y) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+ (sin (* 1/2 (PI))) (* y (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* y (sin (* 1/2 (PI))))))))
(fma.f64 (fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) y) (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (PI.f64)))) y (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+ (sin (* 1/2 (PI))) (* y (+ (* -1 (cos (* 1/2 (PI)))) (* y (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* y (cos (* 1/2 (PI))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) y (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (PI.f64)))) y (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(* z (sin (* 1/2 (PI))))
(*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) z)
(+ (* -1 (* y (* z (cos (* 1/2 (PI)))))) (* z (sin (* 1/2 (PI)))))
(fma.f64 (*.f64 (neg.f64 y) z) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) z))
(+ (* y (+ (* -1 (* z (cos (* 1/2 (PI))))) (* -1/2 (* y (* z (sin (* 1/2 (PI)))))))) (* z (sin (* 1/2 (PI)))))
(fma.f64 (fma.f64 (neg.f64 z) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) z))
(+ (* y (+ (* -1 (* z (cos (* 1/2 (PI))))) (* y (+ (* -1/2 (* z (sin (* 1/2 (PI))))) (* 1/6 (* y (* z (cos (* 1/2 (PI)))))))))) (* z (sin (* 1/2 (PI)))))
(fma.f64 (fma.f64 (neg.f64 z) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) z))) y)) y (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) z))
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(+ (* -1 y) (* 1/2 (PI)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) 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)))))
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) z))) y x) y z)
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x (*.f64 (-.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) z))) (/.f64 (neg.f64 x) z))) y z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) z))) y x) y z)
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))
(fma.f64 (neg.f64 (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 z z))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x)))) (*.f64 y y) (*.f64 z z))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/45 binary64) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (fma.f64 z z (*.f64 x x)))) (*.f64 y y) (neg.f64 (fma.f64 z z (*.f64 x x)))) (*.f64 y y) (*.f64 z z))
(+ z (* -1 (* (pow y 2) z)))
(fma.f64 (neg.f64 z) (*.f64 y y) z)
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 y y) z)
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64))) (*.f64 y y) (neg.f64 z)) (*.f64 y y) z)
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow y 2)) 1/2)
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -2/45 binary64)) #s(literal 1 binary64))) (*.f64 y y) #s(literal 1 binary64))
(* 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)
(* 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 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) z)) (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 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/24 binary64) z (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64)))
(* 1/24 (* (pow y 2) z))
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) z)) y) y)
(sin (- (* 1/2 (PI)) y))
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))
(* z (sin (- (* 1/2 (PI)) y)))
(*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y)) z)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ (PI) y)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))
(* z (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)
(* 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 (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (+.f64 (/.f64 z y) x) y)
(sin (+ (* -1 y) (* 1/2 (PI))))
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))
(* z (sin (+ (* -1 y) (* 1/2 (PI)))))
(*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y)) z)
(* -1 (* y (+ 1 (* -1/2 (/ (PI) y)))))
(*.f64 (fma.f64 (/.f64 (PI.f64) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) z)
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (*.f64 z x) (/.f64 y z) z)
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) z) (/.f64 (neg.f64 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 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 z))

rewrite275.0ms (3.4%)

Memory
-8.9MiB live, 285.6MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049259
078244
1297238
22016238
09293232
Stop Event
iter limit
node limit
iter limit
Counts
21 → 333
Calls
Call 1
Inputs
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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)
#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)))
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z))
(*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z)
(+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
Outputs
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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)
(*.f64 z (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))
(/.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (exp.f64 (log.f64 z)) (cos.f64 y) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (exp.f64 (log.f64 z)) (cos.f64 y) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (fabs.f64 z) (cos.f64 y) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (fabs.f64 z) (cos.f64 y) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (cos.f64 y) (fabs.f64 z) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
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(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 y y)))
(+.f64 (/.f64 (*.f64 #s(literal 1/13824 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal -1/48 binary64))))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))
(*.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 (cos.f64 y))))
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) (cos.f64 y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 y)))
(pow.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 1 binary64) (cos.f64 y))))) (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 1 binary64) (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (neg.f64 (neg.f64 y)))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 (neg.f64 y)))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) y)) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) y))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 (neg.f64 y) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 y (neg.f64 (neg.f64 y))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) y)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) y))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 (neg.f64 (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y)))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (cos.f64 y) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (cos.f64 y)))
(fma.f64 (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (*.f64 (cos.f64 y) (*.f64 #s(literal 1 binary64) (cos.f64 y))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (cos.f64 y)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) (*.f64 (cos.f64 y) (*.f64 #s(literal 1 binary64) (cos.f64 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))

eval122.0ms (1.5%)

Memory
-21.7MiB live, 125.1MiB allocated; 35ms collecting garbage
Compiler

Compiled 14 776 to 2 018 computations (86.3% saved)

prune55.0ms (0.7%)

Memory
27.8MiB live, 72.5MiB allocated; 9ms collecting garbage
Pruning

37 alts after pruning (32 fresh and 5 done)

PrunedKeptTotal
New39619415
Fresh71320
Picked325
Done033
Total40637443
Accuracy
100.0%
Counts
443 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.3%
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
47.0%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
23.7%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
41.4%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 x)) (*.f64 z (cos.f64 y)))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
73.9%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
22.5%
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
33.5%
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
33.6%
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) (*.f64 z z)))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
21.9%
(*.f64 (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (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 (neg.f64 x) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))
88.0%
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
39.1%
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))
50.5%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (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))
50.7%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
80.2%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))
73.5%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))))
92.0%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
87.1%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
91.9%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) z (*.f64 (neg.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (neg.f64 (cos.f64 y)) z)) z))
92.0%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z))
42.7%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.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))) z))
43.1%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
31.3%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)) z))
38.0%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
51.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
30.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
51.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (*.f64 x y) z))
39.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z))
62.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
36.3%
#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))
47.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
17.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
36.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/24 binary64) y)) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
35.9%
#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)))
36.0%
#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)))
36.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) y)) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
35.9%
#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)))
Compiler

Compiled 1 811 to 1 179 computations (34.9% saved)

simplify138.0ms (1.7%)

Memory
-16.2MiB live, 168.4MiB allocated; 49ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
052333
082333
1120333
2200333
3418333
4870333
51636329
63369329
76684329
08225316
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z))
(*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z)
(+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))
(*.f64 (/.f64 (sin.f64 y) z) x)
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
(cos.f64 y)
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
z
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) y (/.f64 x z))
#s(literal -1/2 binary64)
y
(/.f64 x z)
x
z
#s(literal 1 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z))
(*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z)
(sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y)))
#s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
y
z
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y)))
(*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))
(*.f64 (neg.f64 z) (cos.f64 y))
(neg.f64 z)
z
(cos.f64 y)
y
(sqrt.f64 (neg.f64 z))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
Outputs
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(*.f64 (/.f64 (sin.f64 y) z) x)
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
(cos.f64 y)
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
z
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) y (/.f64 x z))
#s(literal -1/2 binary64)
y
(/.f64 x z)
x
z
#s(literal 1 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y))) z))
(*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z)
(*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y))) z)
(sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y)))
(sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y)))
#s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))
#s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
y
z
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal -1 binary64)) z)) (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y)))
(sqrt.f64 (*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal -1 binary64)) z))
(*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))
(*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal -1 binary64)) z)
(*.f64 (neg.f64 z) (cos.f64 y))
(neg.f64 z)
z
(cos.f64 y)
y
(sqrt.f64 (neg.f64 z))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x

localize220.0ms (2.7%)

Memory
4.3MiB live, 393.1MiB allocated; 46ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y)))
accuracy0.05859375
(*.f64 (sin.f64 y) x)
accuracy0.078125
(*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))
accuracy0.14453125
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
accuracy0.03515625
(*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z)
accuracy9.245152491583793
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z))
accuracy13.143506610484106
(sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y)))
accuracy33.4210613310454
(PI.f64)
accuracy0.0078125
(fma.f64 #s(literal -1/2 binary64) y (/.f64 x z))
accuracy0.7096207358766635
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))
accuracy1.710433265807878
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)
accuracy14.2543090011584
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)))
accuracy0.0
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
accuracy1.710433265807878
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
accuracy17.7079482357959
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
accuracy0.0
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z))
accuracy0.046875
(/.f64 (sin.f64 y) z)
accuracy1.2465765584350041
(*.f64 (/.f64 (sin.f64 y) z) x)
accuracy1.710433265807878
(*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z)
Samples
64.0ms61×1valid
51.0ms57×0valid
46.0ms138×0invalid
Compiler

Compiled 233 to 41 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 22.0ms (22.9% of total)
adjust: 20.0ms (20.8% of total)
ival-sin: 16.0ms (16.6% of total)
ival-div: 11.0ms (11.4% of total)
ival-add: 10.0ms (10.4% of total)
ival-cos: 8.0ms (8.3% of total)
ival-sqrt: 3.0ms (3.1% of total)
ival-sub: 2.0ms (2.1% of total)
ival-neg: 2.0ms (2.1% of total)
ival-pi: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series49.0ms (0.6%)

Memory
8.2MiB live, 157.0MiB allocated; 13ms collecting garbage
Counts
23 → 93
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z)
(+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z))
(*.f64 (/.f64 (sin.f64 y) z) x)
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z))
(*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z)
(sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y)))
#s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y)))
(*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))
(*.f64 (neg.f64 z) (cos.f64 y))
(/.f64 (sin.f64 y) z)
(fma.f64 #s(literal -1/2 binary64) y (/.f64 x z))
(PI.f64)
(*.f64 (sin.f64 y) x)
Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
(* z (* (cos y) (pow (sqrt -1) 2)))
(+ (* x (sin y)) (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1/2 y)
(+ (* -1/2 y) (/ x z))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* x y) z)
(* x (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y z))))
(* x (+ (sin y) (/ (* z (* (cos y) (pow (sqrt -1) 2))) x)))
(/ x z)
(* x (+ (* -1/2 (/ y x)) (/ 1 z)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (* (cos y) (pow (sqrt -1) 2))) x)))))
(* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z))))
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 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(* z (sin (* 1/2 (PI))))
(+ (* -1 (* y (* z (cos (* 1/2 (PI)))))) (* z (sin (* 1/2 (PI)))))
(+ (* y (+ (* -1 (* z (cos (* 1/2 (PI))))) (* -1/2 (* y (* z (sin (* 1/2 (PI)))))))) (* z (sin (* 1/2 (PI)))))
(+ (* y (+ (* -1 (* z (cos (* 1/2 (PI))))) (* y (+ (* -1/2 (* z (sin (* 1/2 (PI))))) (* 1/6 (* y (* z (cos (* 1/2 (PI)))))))))) (* z (sin (* 1/2 (PI)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1 (* y (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* y (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* y (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* y (+ (* -1 (cos (* 1/2 (PI)))) (* y (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* y (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -1 y) (* 1/2 (PI)))
(* z (pow (sqrt -1) 2))
(+ (* x y) (* z (pow (sqrt -1) 2)))
(+ (* y (+ x (* -1/2 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2)))
(+ (* y (+ x (* y (+ (* -1/2 (* z (pow (sqrt -1) 2))) (* -1/6 (* x y)))))) (* z (pow (sqrt -1) 2)))
(* (sqrt z) (sqrt -1))
(+ (* -1/2 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* (sqrt z) (sqrt -1)))
(+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/2 (* (sqrt z) (sqrt -1))) (* 1/24 (* (* (pow y 2) (sqrt -1)) (sqrt z))))))
(+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/2 (* (sqrt z) (sqrt -1))) (* (pow y 2) (+ (* -1/720 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* 1/24 (* (sqrt z) (sqrt -1))))))))
(* -1 z)
(+ (* -1 z) (* (pow y 2) z))
(+ (* -1 z) (* (pow y 2) (+ z (* -1/3 (* (pow y 2) z)))))
(+ (* -1 z) (* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z)))))))
(+ (* -1 z) (* 1/2 (* (pow y 2) z)))
(+ (* -1 z) (* (pow y 2) (+ (* -1/24 (* (pow y 2) z)) (* 1/2 z))))
(+ (* -1 z) (* (pow y 2) (+ (* 1/2 z) (* (pow y 2) (+ (* -1/24 z) (* 1/720 (* (pow y 2) 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)))
(* 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)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ x (* y z)) 1/2))
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (* y z))) 1/2))
(* z (sin (- (* 1/2 (PI)) y)))
(sin (- (* 1/2 (PI)) y))
(* -1 y)
(* y (- (* 1/2 (/ (PI) y)) 1))
(* (sqrt z) (* (cos y) (sqrt -1)))
(* -1 (* z (pow (cos y) 2)))
(* -1 (* z (cos y)))
(/ (sin y) z)
(* y (- (/ x (* y z)) 1/2))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ x z)) (/ 1 y)) y)) 1/2))
(* z (sin (+ (* -1 y) (* 1/2 (PI)))))
(sin (+ (* -1 y) (* 1/2 (PI))))
(* -1 (* y (+ 1 (* -1/2 (/ (PI) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ x (* y z))))))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z)
(/ (+ x (* -1/2 (* y z))) z)
(* z (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* x (sin y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* (sqrt z) (* (cos y) (sqrt -1))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
y
@inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (/ (sin y) z) x) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (+ (* x (sin y)) (* z (cos y))) (* (sin (+ (neg y) (/ (PI) 2))) z) (sin (+ (neg y) (/ (PI) 2))) (+ (neg y) (/ (PI) 2)) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (sqrt (* (* (neg z) (cos y)) (cos y))) (* (* (neg z) (cos y)) (cos y)) (* (neg z) (cos y)) (/ (sin y) z) (+ (* -1/2 y) (/ x z)) (PI) (* (sin y) x))
7.0ms
z
@inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (/ (sin y) z) x) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (+ (* x (sin y)) (* z (cos y))) (* (sin (+ (neg y) (/ (PI) 2))) z) (sin (+ (neg y) (/ (PI) 2))) (+ (neg y) (/ (PI) 2)) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (sqrt (* (* (neg z) (cos y)) (cos y))) (* (* (neg z) (cos y)) (cos y)) (* (neg z) (cos y)) (/ (sin y) z) (+ (* -1/2 y) (/ x z)) (PI) (* (sin y) x))
6.0ms
x
@-inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (/ (sin y) z) x) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (+ (* x (sin y)) (* z (cos y))) (* (sin (+ (neg y) (/ (PI) 2))) z) (sin (+ (neg y) (/ (PI) 2))) (+ (neg y) (/ (PI) 2)) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (sqrt (* (* (neg z) (cos y)) (cos y))) (* (* (neg z) (cos y)) (cos y)) (* (neg z) (cos y)) (/ (sin y) z) (+ (* -1/2 y) (/ x z)) (PI) (* (sin y) x))
4.0ms
z
@0
((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (/ (sin y) z) x) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (+ (* x (sin y)) (* z (cos y))) (* (sin (+ (neg y) (/ (PI) 2))) z) (sin (+ (neg y) (/ (PI) 2))) (+ (neg y) (/ (PI) 2)) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (sqrt (* (* (neg z) (cos y)) (cos y))) (* (* (neg z) (cos y)) (cos y)) (* (neg z) (cos y)) (/ (sin y) z) (+ (* -1/2 y) (/ x z)) (PI) (* (sin y) x))
4.0ms
y
@0
((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (/ (sin y) z) x) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (+ (* x (sin y)) (* z (cos y))) (* (sin (+ (neg y) (/ (PI) 2))) z) (sin (+ (neg y) (/ (PI) 2))) (+ (neg y) (/ (PI) 2)) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (sqrt (* (* (neg z) (cos y)) (cos y))) (* (* (neg z) (cos y)) (cos y)) (* (neg z) (cos y)) (/ (sin y) z) (+ (* -1/2 y) (/ x z)) (PI) (* (sin y) x))

simplify206.0ms (2.6%)

Memory
-2.4MiB live, 277.0MiB allocated; 24ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161184
111741078
246401062
08198986
Stop Event
iter limit
node limit
Counts
93 → 92
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
(* z (* (cos y) (pow (sqrt -1) 2)))
(+ (* x (sin y)) (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1/2 y)
(+ (* -1/2 y) (/ x z))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* x y) z)
(* x (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y z))))
(* x (+ (sin y) (/ (* z (* (cos y) (pow (sqrt -1) 2))) x)))
(/ x z)
(* x (+ (* -1/2 (/ y x)) (/ 1 z)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (* (cos y) (pow (sqrt -1) 2))) x)))))
(* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z))))
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 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(* z (sin (* 1/2 (PI))))
(+ (* -1 (* y (* z (cos (* 1/2 (PI)))))) (* z (sin (* 1/2 (PI)))))
(+ (* y (+ (* -1 (* z (cos (* 1/2 (PI))))) (* -1/2 (* y (* z (sin (* 1/2 (PI)))))))) (* z (sin (* 1/2 (PI)))))
(+ (* y (+ (* -1 (* z (cos (* 1/2 (PI))))) (* y (+ (* -1/2 (* z (sin (* 1/2 (PI))))) (* 1/6 (* y (* z (cos (* 1/2 (PI)))))))))) (* z (sin (* 1/2 (PI)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1 (* y (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* y (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* y (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* y (+ (* -1 (cos (* 1/2 (PI)))) (* y (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* y (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -1 y) (* 1/2 (PI)))
(* z (pow (sqrt -1) 2))
(+ (* x y) (* z (pow (sqrt -1) 2)))
(+ (* y (+ x (* -1/2 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2)))
(+ (* y (+ x (* y (+ (* -1/2 (* z (pow (sqrt -1) 2))) (* -1/6 (* x y)))))) (* z (pow (sqrt -1) 2)))
(* (sqrt z) (sqrt -1))
(+ (* -1/2 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* (sqrt z) (sqrt -1)))
(+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/2 (* (sqrt z) (sqrt -1))) (* 1/24 (* (* (pow y 2) (sqrt -1)) (sqrt z))))))
(+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/2 (* (sqrt z) (sqrt -1))) (* (pow y 2) (+ (* -1/720 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* 1/24 (* (sqrt z) (sqrt -1))))))))
(* -1 z)
(+ (* -1 z) (* (pow y 2) z))
(+ (* -1 z) (* (pow y 2) (+ z (* -1/3 (* (pow y 2) z)))))
(+ (* -1 z) (* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z)))))))
(+ (* -1 z) (* 1/2 (* (pow y 2) z)))
(+ (* -1 z) (* (pow y 2) (+ (* -1/24 (* (pow y 2) z)) (* 1/2 z))))
(+ (* -1 z) (* (pow y 2) (+ (* 1/2 z) (* (pow y 2) (+ (* -1/24 z) (* 1/720 (* (pow y 2) 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)))
(* 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)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ x (* y z)) 1/2))
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (* y z))) 1/2))
(* z (sin (- (* 1/2 (PI)) y)))
(sin (- (* 1/2 (PI)) y))
(* -1 y)
(* y (- (* 1/2 (/ (PI) y)) 1))
(* (sqrt z) (* (cos y) (sqrt -1)))
(* -1 (* z (pow (cos y) 2)))
(* -1 (* z (cos y)))
(/ (sin y) z)
(* y (- (/ x (* y z)) 1/2))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ x z)) (/ 1 y)) y)) 1/2))
(* z (sin (+ (* -1 y) (* 1/2 (PI)))))
(sin (+ (* -1 y) (* 1/2 (PI))))
(* -1 (* y (+ 1 (* -1/2 (/ (PI) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ x (* y z))))))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z)
(/ (+ x (* -1/2 (* y z))) z)
(* z (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* x (sin y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* (sqrt z) (* (cos y) (sqrt -1))))
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))
(/ (* x (sin y)) z)
(*.f64 (/.f64 (sin.f64 y) z) x)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))
(* z (* (cos y) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 z) (cos.f64 y))
(+ (* x (sin y)) (* z (* (cos y) (pow (sqrt -1) 2))))
(fma.f64 (neg.f64 (cos.f64 y)) z (*.f64 (sin.f64 y) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (/ x z))
(fma.f64 #s(literal -1/2 binary64) y (/.f64 x z))
(* 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 (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) x)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y z))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) x)
(* x (+ (sin y) (/ (* z (* (cos y) (pow (sqrt -1) 2))) x)))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(/ x z)
(/.f64 x z)
(* x (+ (* -1/2 (/ y x)) (/ 1 z)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (*.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 (*.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 y z)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (* (cos y) (pow (sqrt -1) 2))) x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (neg.f64 (sin.f64 y)))) x)
(* -1 (* x (- (* 1/2 (/ y x)) (/ 1 z))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) 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 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) z) y)
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) z) y)
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) z) (*.f64 y y) (/.f64 x z)) y)
(* z (sin (* 1/2 (PI))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) z)
(+ (* -1 (* y (* z (cos (* 1/2 (PI)))))) (* z (sin (* 1/2 (PI)))))
(fma.f64 (*.f64 (neg.f64 y) z) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) z))
(+ (* y (+ (* -1 (* z (cos (* 1/2 (PI))))) (* -1/2 (* y (* z (sin (* 1/2 (PI)))))))) (* z (sin (* 1/2 (PI)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (neg.f64 z) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) y (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) z))
(+ (* y (+ (* -1 (* z (cos (* 1/2 (PI))))) (* y (+ (* -1/2 (* z (sin (* 1/2 (PI))))) (* 1/6 (* y (* z (cos (* 1/2 (PI)))))))))) (* z (sin (* 1/2 (PI)))))
(fma.f64 (fma.f64 (neg.f64 z) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) z))) y)) y (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) z))
(sin (* 1/2 (PI)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (sin (* 1/2 (PI))) (* -1 (* y (cos (* 1/2 (PI))))))
(fma.f64 (neg.f64 y) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+ (sin (* 1/2 (PI))) (* y (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* y (sin (* 1/2 (PI))))))))
(fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) y) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (PI.f64)))) y (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+ (sin (* 1/2 (PI))) (* y (+ (* -1 (cos (* 1/2 (PI)))) (* y (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* y (cos (* 1/2 (PI))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) y (cos.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (PI.f64)))) y (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(* 1/2 (PI))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(+ (* -1 y) (* 1/2 (PI)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y)
(* z (pow (sqrt -1) 2))
(neg.f64 z)
(+ (* x y) (* z (pow (sqrt -1) 2)))
(-.f64 (*.f64 x y) z)
(+ (* y (+ x (* -1/2 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2)))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) x) y (neg.f64 z))
(+ (* y (+ x (* y (+ (* -1/2 (* z (pow (sqrt -1) 2))) (* -1/6 (* x y)))))) (* z (pow (sqrt -1) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y (neg.f64 z))
(* (sqrt z) (sqrt -1))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* (sqrt z) (sqrt -1)))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 y y) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/2 (* (sqrt z) (sqrt -1))) (* 1/24 (* (* (pow y 2) (sqrt -1)) (sqrt z))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/2 (* (sqrt z) (sqrt -1))) (* (pow y 2) (+ (* -1/720 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* 1/24 (* (sqrt z) (sqrt -1))))))))
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -1/720 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 z)))))
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* (pow y 2) z))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) z)
(+ (* -1 z) (* (pow y 2) (+ z (* -1/3 (* (pow y 2) z)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 z y) y) z) y) y (neg.f64 z))
(+ (* -1 z) (* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z)))))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) z (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal -1/3 binary64)))))
(+ (* -1 z) (* 1/2 (* (pow y 2) z)))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal -1 binary64)))
(+ (* -1 z) (* (pow y 2) (+ (* -1/24 (* (pow y 2) z)) (* 1/2 z))))
(fma.f64 (*.f64 z (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) (neg.f64 z))
(+ (* -1 z) (* (pow y 2) (+ (* 1/2 z) (* (pow y 2) (+ (* -1/24 z) (* 1/720 (* (pow y 2) z)))))))
(fma.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64)))))
(/ y z)
(/.f64 y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(* 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 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) (/.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal -1/6 binary64) x)) (*.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1/2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/2 binary64))
(* (pow y 2) (- (/ x (* y z)) 1/2))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64)) y) y)
(* (pow y 2) (- (+ (/ 1 (pow y 2)) (/ x (* y z))) 1/2))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)) y) #s(literal 1/2 binary64)) (*.f64 y y))
(* z (sin (- (* 1/2 (PI)) y)))
(*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y)) z)
(sin (- (* 1/2 (PI)) y))
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y))
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ (PI) y)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(* (sqrt z) (* (cos y) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cos.f64 y)) (sqrt.f64 z))
(* -1 (* z (pow (cos y) 2)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z))
(* -1 (* z (cos y)))
(*.f64 (neg.f64 z) (cos.f64 y))
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(* y (- (/ x (* y z)) 1/2))
(*.f64 (-.f64 (/.f64 (/.f64 x z) y) #s(literal 1/2 binary64)) y)
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ x z)) (/ 1 y)) y)) 1/2))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 y y))
(* z (sin (+ (* -1 y) (* 1/2 (PI)))))
(*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y)) z)
(sin (+ (* -1 y) (* 1/2 (PI))))
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) y))
(* -1 (* y (+ 1 (* -1/2 (/ (PI) y)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (PI.f64) y) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ x (* y z))))))
(fma.f64 (/.f64 (/.f64 x z) y) y (*.f64 #s(literal -1/2 binary64) y))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) z)
(/ (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) z)
(/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) z)
(/ (+ x (* -1/2 (* y z))) z)
(/.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) z)
(* z (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (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 (+ (cos y) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (neg.f64 (cos.f64 y))) z)
(* -1 (* (sqrt z) (* (cos y) (sqrt -1))))
(*.f64 (neg.f64 (cos.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))

rewrite287.0ms (3.6%)

Memory
12.6MiB live, 259.6MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052293
082293
1248286
21583282
08756269
Stop Event
iter limit
node limit
iter limit
Counts
23 → 376
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z)
(+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z))
(*.f64 (/.f64 (sin.f64 y) z) x)
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z))
(*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z)
(sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y)))
#s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y)))
(*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))
(*.f64 (neg.f64 z) (cos.f64 y))
(/.f64 (sin.f64 y) z)
(fma.f64 #s(literal -1/2 binary64) y (/.f64 x z))
(PI.f64)
(*.f64 (sin.f64 y) x)
Outputs
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))))))
(/.f64 (neg.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)) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.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) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(fma.f64 (cos.f64 y) z (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (cos.f64 y) z (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 z (cos.f64 y) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 z (*.f64 x (/.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) (*.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(/.f64 (sin.f64 y) z)
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) z))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z)) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y)))))
(fma.f64 #s(literal -1/2 binary64) y (/.f64 x z))
(fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))
(-.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))))
(-.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 x z) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))))))
(+.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))) (/.f64 (*.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64)))
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64))) (-.f64 (*.f64 (sinh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) (*.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)

eval114.0ms (1.4%)

Memory
3.5MiB live, 147.5MiB allocated; 23ms collecting garbage
Compiler

Compiled 15 183 to 2 053 computations (86.5% saved)

prune68.0ms (0.8%)

Memory
-16.1MiB live, 87.7MiB allocated; 12ms collecting garbage
Pruning

40 alts after pruning (32 fresh and 8 done)

PrunedKeptTotal
New4538461
Fresh32427
Picked235
Done055
Total45840498
Accuracy
100.0%
Counts
498 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.7%
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (fabs.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
51.3%
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
23.7%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
47.0%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
41.4%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 x)) (*.f64 z (cos.f64 y)))
47.1%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) (cos.f64 y))) (sqrt.f64 z) (*.f64 x (sin.f64 y)))
16.4%
(fma.f64 (sqrt.f64 #s(approx (* (* (neg z) (cos y)) (cos y)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
73.9%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
22.5%
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
33.5%
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
33.6%
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) (*.f64 z z)))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
88.0%
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
39.1%
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))
5.3%
#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 z))
50.5%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (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))
50.7%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
80.2%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))
73.5%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))))
92.0%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
87.1%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
91.9%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) z (*.f64 (neg.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (neg.f64 (cos.f64 y)) z)) z))
92.0%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z))
42.7%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.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))) z))
43.1%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
44.3%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ x z)) (/.f64 x z)) y #s(literal 1 binary64))) z))
36.3%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ x z)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) z))
31.3%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)) z))
3.1%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z))
38.0%
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
51.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
30.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
62.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
47.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
17.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
36.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/24 binary64) y)) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
35.9%
#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)))
36.0%
#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)))
36.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) y)) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
35.9%
#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)))
Compiler

Compiled 2 661 to 1 019 computations (61.7% saved)

regimes113.0ms (1.4%)

Memory
-0.8MiB live, 133.6MiB allocated; 17ms collecting garbage
Counts
64 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 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))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (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))) (+.f64 (*.f64 x y) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) 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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ x z)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ x z)) (/.f64 x z)) y #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 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y) z 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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (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 (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (fabs.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))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.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))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/24 binary64) y)) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.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))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)) z))
(fma.f64 (sqrt.f64 #s(approx (* (* (neg z) (cos y)) (cos y)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) z))
(fma.f64 (*.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (fabs.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) (cos.f64 y))) (sqrt.f64 z) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 x)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) (*.f64 z z)))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
(/.f64 (-.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 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) z (*.f64 (neg.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x))) (*.f64 (neg.f64 (cos.f64 y)) z)) z))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))))) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))))
(*.f64 (/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (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 (neg.f64 x) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Calls

4 calls:

41.0ms
z
30.0ms
x
23.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.0ms
y
Results
AccuracySegmentsBranch
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes67.0ms (0.8%)

Memory
-2.8MiB live, 53.1MiB allocated; 10ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 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))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (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))) (+.f64 (*.f64 x y) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) 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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ x z)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ x z)) (/.f64 x z)) y #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 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y) z 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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (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 (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (fabs.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))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.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))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/24 binary64) y)) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.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))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 #s(approx (+ (neg y) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) y))) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)) z))
(fma.f64 (sqrt.f64 #s(approx (* (* (neg z) (cos y)) (cos y)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
Outputs
#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 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

4 calls:

39.0ms
x
9.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms
z
8.0ms
y
Results
AccuracySegmentsBranch
78.0%3(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
86.4%3x
82.6%4y
89.2%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes49.0ms (0.6%)

Memory
9.1MiB live, 55.6MiB allocated; 3ms collecting garbage
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 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))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (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))) (+.f64 (*.f64 x y) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) 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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ x z)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ x z)) (/.f64 x z)) y #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 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y) z 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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (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 (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (fabs.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))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.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))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/24 binary64) y)) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.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))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

3 calls:

33.0ms
x
7.0ms
z
7.0ms
y
Results
AccuracySegmentsBranch
82.2%5y
78.1%3x
79.8%3z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes74.0ms (0.9%)

Memory
-21.3MiB live, 71.3MiB allocated; 5ms collecting garbage
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 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))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (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))) (+.f64 (*.f64 x y) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) 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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ x z)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ x z)) (/.f64 x z)) y #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 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y) z 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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (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 (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (fabs.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))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.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))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/24 binary64) y)) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.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))) z))
#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 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

4 calls:

39.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
20.0ms
z
7.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
62.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
71.7%3x
77.4%3y
72.5%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes61.0ms (0.8%)

Memory
18.2MiB live, 80.0MiB allocated; 7ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 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))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (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))) (+.f64 (*.f64 x y) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ x z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) 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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ x z)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ x z)) (/.f64 x z)) y #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 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y) z 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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (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 (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 (fabs.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))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.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))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (*.f64 #s(literal 1/24 binary64) y)) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.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))) z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
Calls

4 calls:

39.0ms
x
7.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
7.0ms
y
7.0ms
z
Results
AccuracySegmentsBranch
51.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
51.9%1x
51.9%1z
51.9%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes42.0ms (0.5%)

Memory
-19.8MiB live, 25.7MiB allocated; 3ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 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))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
Outputs
#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)))
Calls

4 calls:

35.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
42.8%3z
38.0%1y
38.0%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
44.0%3x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 z))
#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:

1.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
17.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.9%1y
17.9%1z
17.9%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes26.0ms (0.3%)

Memory
-35.1MiB live, 12.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

22.0ms
x
1.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
5.3%1x
5.3%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
5.3%1y
5.3%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch74.0ms (0.9%)

Memory
-4.6MiB live, 94.7MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.0785883740704954e+39
2.2639094735031297e+40
39.0ms
-9.694311454735395e-60
-1.207692426337799e-63
Samples
21.0ms240×0valid
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 (39.5% of total)
ival-cos: 5.0ms (32.9% of total)
ival-mult: 3.0ms (19.7% of total)
ival-add: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch56.0ms (0.7%)

Memory
46.5MiB live, 93.5MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.0129652966677357e-97
3.75261516575131e-96
39.0ms
-1.1441301137032106e-71
-3.1005063004260277e-80
Samples
43.0ms256×0valid
Compiler

Compiled 556 to 478 computations (14% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-cos: 26.0ms (71.3% of total)
ival-sin: 5.0ms (13.7% of total)
ival-mult: 3.0ms (8.2% of total)
ival-add: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch58.0ms (0.7%)

Memory
2.5MiB live, 95.0MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
5.753291172476438
3652996.3235920146
25.0ms
-37830.38794658151
-1.5805005536790855e-7
Samples
33.0ms304×0valid
Compiler

Compiled 734 to 565 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sin: 15.0ms (58.1% of total)
ival-cos: 5.0ms (19.4% of total)
ival-mult: 4.0ms (15.5% of total)
ival-add: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch56.0ms (0.7%)

Memory
-30.0MiB live, 66.2MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
32.0ms
1.5580068166320344e+70
4.871922053852358e+72
21.0ms
-1.1100852554929186e+153
-1.6644726083885318e+148
Samples
39.0ms272×0valid
Compiler

Compiled 607 to 473 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (36.5% of total)
ival-cos: 5.0ms (30.4% of total)
ival-mult: 3.0ms (18.2% of total)
ival-add: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify69.0ms (0.9%)

Memory
16.5MiB live, 63.8MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077229
1127229
2202229
3384229
4739229
51548229
63761229
77974229
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -4161278206966051/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 7199999999999999686798579837005803290624 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -3170605756445101/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 7936195095709337/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -5404319552844595/72057594037927936 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 6530219459687219/1125899906842624 binary64)) #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 (+ (* 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 x #s(literal -81999999999999996066293032179142322141693465514471404384141092198852513285858496466978771657986883650820654122094844373648301430794010839767681335296 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (if (<=.f64 x #s(literal 31000000000000003014722298260350718090083120274196772430434075911651328 binary64)) #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))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 z))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -4161278206966051/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 7199999999999999686798579837005803290624 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 z #s(literal -4161278206966051/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (not (<=.f64 z #s(literal 7199999999999999686798579837005803290624 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 (sin.f64 y) x)))
(if (<=.f64 z #s(literal -3170605756445101/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 7936195095709337/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 z #s(literal -3170605756445101/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (not (<=.f64 z #s(literal 7936195095709337/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -5404319552844595/72057594037927936 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 6530219459687219/1125899906842624 binary64)) #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 (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 y #s(literal -5404319552844595/72057594037927936 binary64)) (not (<=.f64 y #s(literal 6530219459687219/1125899906842624 binary64)))) #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 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -81999999999999996066293032179142322141693465514471404384141092198852513285858496466978771657986883650820654122094844373648301430794010839767681335296 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (if (<=.f64 x #s(literal 31000000000000003014722298260350718090083120274196772430434075911651328 binary64)) #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)))))
(if (or (<=.f64 x #s(literal -81999999999999996066293032179142322141693465514471404384141092198852513285858496466978771657986883650820654122094844373648301430794010839767681335296 binary64)) (not (<=.f64 x #s(literal 31000000000000003014722298260350718090083120274196772430434075911651328 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)))
#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 z))

derivations862.0ms (10.7%)

Memory
-10.1MiB live, 796.7MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109288
1417284
21479274
33945272
47797272
08009241
03161184
111741078
246401062
08198986
0821
01321
13921
225121
3262921
0833320
02971044
111141019
24293994
08459913
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 229 to 81 computations (64.6% saved)

preprocess73.0ms (0.9%)

Memory
7.4MiB live, 198.3MiB allocated; 16ms collecting garbage
Compiler

Compiled 476 to 178 computations (62.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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