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

Time bar (total: 11.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample4.0s (35.1%)

Memory
-254.8MiB live, 2 091.9MiB allocated
Samples
3.7s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 651.0ms
ival-sin: 265.0ms (40.7% of total)
ival-cos: 210.0ms (32.2% of total)
ival-mult: 126.0ms (19.3% of total)
ival-add: 40.0ms (6.1% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain129.0ms (1.1%)

Memory
6.1MiB live, 289.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
58.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-cos: 19.0ms (46% of total)
ival-sin: 12.0ms (29.1% of total)
ival-mult: 7.0ms (17% of total)
ival-add: 2.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess225.0ms (2%)

Memory
9.1MiB live, 242.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
19481
218481
332681
462481
5144281
6358981
7668381
089
0139
1269
2479
3959
41849
54469
611469
725999
852709
082118
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify156.0ms (1.4%)

Memory
1.0MiB live, 136.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff1
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12624
24724
39524
418424
544624
6114624
7259924
8527024
0821123
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize36.0ms (0.3%)

Memory
0.6MiB live, 44.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 y)
accuracy0.00390625
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.10546875
(*.f64 x (cos.f64 y))
accuracy0.12109375
(*.f64 z (sin.f64 y))
Samples
30.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (34.3% of total)
ival-sin: 6.0ms (34.3% of total)
ival-mult: 4.0ms (22.9% of total)
ival-add: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
4 → 23
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(cos y)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
Calls

9 calls:

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

simplify281.0ms (2.5%)

Memory
-24.8MiB live, 288.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093248
1361244
21343238
34829236
08461209
Stop Event
iter limit
node limit
Counts
23 → 22
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(cos y)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(+ x (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (pow.f64 y #s(literal 5 binary64)) (*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)))
(cos y)
(cos.f64 y)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)

rewrite235.0ms (2.1%)

Memory
20.3MiB live, 249.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
13919
225119
3260519
0829318
Stop Event
iter limit
node limit
iter limit
Counts
4 → 266
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))))
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
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(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 (sin.f64 y))) (fabs.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 z))) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y))) (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (sin.f64 y)))))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 z))
(*.f64 (fabs.f64 z) (fabs.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) (sin.f64 y)))
(fabs.f64 (*.f64 (sin.f64 y) z))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (sin.f64 y) z))) (sinh.f64 (log.f64 (*.f64 (sin.f64 y) z))))

eval81.0ms (0.7%)

Memory
-11.2MiB live, 182.6MiB allocated
Compiler

Compiled 7 510 to 762 computations (89.9% saved)

prune62.0ms (0.5%)

Memory
4.4MiB live, 114.2MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New27016286
Fresh000
Picked101
Done000
Total27116287
Accuracy
99.9%
Counts
287 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.2%
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
26.2%
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
53.3%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
48.6%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
99.7%
(+.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y)))
66.1%
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
75.5%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
49.5%
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
50.1%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
50.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
51.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
83.1%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
87.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
42.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
Compiler

Compiled 772 to 420 computations (45.6% saved)

simplify199.0ms (1.7%)

Memory
-17.2MiB live, 259.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))
cost-diff0
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
cost-diff40
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
cost-diff0
(/.f64 z x)
cost-diff0
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
cost-diff0
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff1
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
cost-diff0
(fma.f64 z y x)
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033264
057262
1112262
2257262
3870222
44279222
08158221
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos.f64 y)
y
x
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
(/.f64 z x)
z
x
(sin.f64 y)
y
(cos.f64 y)
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 (neg.f64 x) (cos.f64 y))
(neg.f64 x)
x
(cos.f64 y)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
#s(literal 2 binary64)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(cos.f64 y)
y
x
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
z
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/.f64 z x)
z
x
(sin.f64 y)
y
(cos.f64 y)
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))
(sin.f64 y)
y
z
(*.f64 (neg.f64 x) (cos.f64 y))
(neg.f64 x)
x
(cos.f64 y)
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
#s(literal 2 binary64)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))

localize102.0ms (0.9%)

Memory
1.5MiB live, 196.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(*.f64 (sin.f64 y) z)
accuracy0.127285009768442
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
accuracy30.31515027740642
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
accuracy30.335629398567598
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
accuracy0.0
(cos.f64 y)
accuracy0.0
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
accuracy3.582752132718536
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
accuracy7.154865125840667
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)
accuracy0.00390625
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy0.10546875
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy0.12109375
(*.f64 z (sin.f64 y))
accuracy29.26595400193993
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.0
(fma.f64 z y x)
accuracy30.79739640550231
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy0.0
(sin.f64 y)
accuracy0.0
(cos.f64 y)
accuracy0.05078125
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
accuracy0.12109375
(*.f64 (sin.f64 y) z)
Samples
78.0ms256×0valid
Compiler

Compiled 260 to 30 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 19.0ms (37.9% of total)
ival-add: 11.0ms (21.9% of total)
ival-cos: 7.0ms (14% of total)
ival-sin: 6.0ms (12% of total)
ival-div: 4.0ms (8% of total)
ival-pow2: 3.0ms (6% of total)
ival-neg: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory
19.9MiB live, 64.4MiB allocated
Counts
19 → 98
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos.f64 y)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
(/.f64 z x)
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(+ x (* y z))
(* x (cos y))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ z x)
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2)))
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2)))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(/ 1 (* z (sin y)))
(+ (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(+ (* x (- (+ (* x (- (* -1 (* x (+ (/ (* (cos y) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow (cos y) 2) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))))) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(* (pow x 2) (pow (cos y) 2))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2)))
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))))
(* -1 (* x (cos y)))
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))
(/ 1 (* x (cos y)))
(/ (- (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (pow x 2))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (* -1 (/ (+ (/ (* z (* (sin y) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (pow (cos y) 2))) (pow x 3))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2)))
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))))
(* -1 (/ (- (* -1 (/ (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (cos y))))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))))) (* x (cos y)))) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y)))) x)) (/ (* z (sin y)) (pow (cos y) 2))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(pow x 2)
(+ (* -1 (* x (* y z))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (pow z 2))))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (+ (* y (* z (+ (* 1/6 x) (* 1/2 x)))) (pow z 2)))))) (pow x 2))
(* -1 x)
(+ (* -1 x) (* y z))
(+ (* -1 x) (* y (+ z (* 1/2 (* x y)))))
(+ (* -1 x) (* y (+ z (* y (+ (* -1/6 (* y z)) (* 1/2 x))))))
(/ 1 x)
(+ (* y (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (+ (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (+ (* y (- (+ (* 1/2 (/ 1 x)) (* y (- (* -1/6 (/ z (pow x 2))) (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) x)) (+ (/ (* z (+ (* 1/6 x) (* 1/2 x))) (pow x 3)) (/ (* (+ (* -1 (pow x 2)) (pow z 2)) (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (pow x 2))))))) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2))
(sin y)
(* y (+ z (/ x y)))
(+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))
(/ (+ (* x (cos y)) (* z (sin y))) (+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2)))
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2)))
(+ (* z (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (+ (* -1 (* z (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (+ (* z (- (* -1 (* z (+ (/ (* (sin y) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow (sin y) 2) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* (pow x 2) (pow (cos y) 2)))))) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(/ (- (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (pow z 2))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (+ (* -1 (/ (+ (/ (* x (* (cos y) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (pow z 3))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2)))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(* -1 (/ (- (* -1 (/ (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (+ (/ (* x (cos y)) (pow (sin y) 2)) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (sin y))))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))))) (* z (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
Calls

9 calls:

TimeVariablePointExpression
30.0ms
y
@inf
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow (* (cos y) x) 2))
5.0ms
x
@0
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow (* (cos y) x) 2))
5.0ms
z
@-inf
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow (* (cos y) x) 2))
4.0ms
x
@inf
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow (* (cos y) x) 2))
4.0ms
x
@-inf
((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow (* (cos y) x) 2))

simplify286.0ms (2.5%)

Memory
-3.1MiB live, 331.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05222939
119262441
279812441
080012324
Stop Event
iter limit
node limit
Counts
98 → 96
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(+ x (* y z))
(* x (cos y))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ z x)
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2)))
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2)))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(/ 1 (* z (sin y)))
(+ (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(+ (* x (- (+ (* x (- (* -1 (* x (+ (/ (* (cos y) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow (cos y) 2) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))))) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(* (pow x 2) (pow (cos y) 2))
(* x (+ (cos y) (/ (* z (sin y)) x)))
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(/ (- (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (pow x 2))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
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y
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(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))))) (* z (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
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(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z)
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2)))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 x (/.f64 x z)) (fma.f64 (neg.f64 x) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z z))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(/ (- (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (pow z 2))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (cos.f64 y)) x) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 z) z)) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) z)
(/ (- (+ (* -1 (/ (+ (/ (* x (* (cos y) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (pow z 3))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (cos.f64 y)) x) (neg.f64 (sin.f64 y))) (cos.f64 y) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 x (sin.f64 y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (cos.f64 y)) x) (neg.f64 (sin.f64 y)))) (*.f64 z z)))) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (-.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z))) (neg.f64 z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2)))
(*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (cos.f64 y) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (neg.f64 z))) (*.f64 z z))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (+ (/ (* x (cos y)) (pow (sin y) 2)) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (sin y))))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 x (/.f64 x z))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 y) x) (sin.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))))) (* z (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (cos.f64 y)) (/.f64 x (sin.f64 y)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (cos.f64 y)) x) (*.f64 (neg.f64 (sin.f64 y)) z))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (cos.f64 y)) (/.f64 x (sin.f64 y)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (neg.f64 z))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))

rewrite353.0ms (3.1%)

Memory
11.0MiB live, 533.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033214
057170
1225170
21566170
08268169
Stop Event
iter limit
node limit
iter limit
Counts
19 → 945
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos.f64 y)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)
(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
(/.f64 z x)
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (-.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
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(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 (*.f64 x (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))
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(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))

eval260.0ms (2.3%)

Memory
1.2MiB live, 594.6MiB allocated
Compiler

Compiled 116 757 to 4 472 computations (96.2% saved)

prune99.0ms (0.9%)

Memory
28.0MiB live, 219.8MiB allocated
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New1 406191 425
Fresh7411
Picked325
Done000
Total1 416251 441
Accuracy
100.0%
Counts
1 441 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
48.6%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
75.5%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
73.8%
(fma.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) x (*.f64 (sin.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
52.3%
(+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))
51.0%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
27.3%
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)))))
23.9%
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z)))))
24.9%
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
50.1%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
50.2%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
88.7%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
86.9%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
42.8%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z))
51.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
58.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x))
87.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
70.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x))
41.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
43.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
59.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
49.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
20.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Compiler

Compiled 1 278 to 767 computations (40% saved)

simplify133.0ms (1.2%)

Memory
-36.3MiB live, 184.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
(sqrt.f64 (*.f64 (sin.f64 y) z))
cost-diff7
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
cost-diff0
(/.f64 z x)
cost-diff0
(fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x))
cost-diff2
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)
cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
cost-diff0
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (+ (* z y) x) (*.f64 z y))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) x)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036212
058202
1103202
2223202
3564202
41423202
53352200
65502200
08025196
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
#s(literal -1/6 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x))
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)
(fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))
(/.f64 z x)
z
x
(sin.f64 y)
y
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
#s(literal -1/6 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y))))
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
(fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64)))
(/.f64 z x)
z
x
(sin.f64 y)
y
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(sqrt.f64 (*.f64 (sin.f64 y) z))
(sqrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x

localize107.0ms (0.9%)

Memory
10.1MiB live, 207.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(*.f64 (cos.f64 y) x)
accuracy0.046875
(*.f64 (sin.f64 y) z)
accuracy0.10546875
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
accuracy2.5164690015637077
(sqrt.f64 (*.f64 (sin.f64 y) z))
accuracy0.0
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x))
accuracy2.360839172132956
(fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))
accuracy3.3695729086619046
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)
accuracy12.283314904459695
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.01171875
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
accuracy0.03125
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
accuracy0.0546875
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
accuracy13.528486737864085
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
accuracy0.0
(*.f64 z y)
accuracy13.1174677803279
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy15.147926833721103
#s(approx (+ (* z y) x) (*.f64 z y))
accuracy0.0
(sin.f64 y)
accuracy0.0
(cos.f64 y)
accuracy0.0234375
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy0.0234375
(*.f64 (cos.f64 y) x)
Samples
51.0ms136×0invalid
35.0ms120×0valid
Compiler

Compiled 176 to 33 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 20.0ms (38.2% of total)
ival-add: 12.0ms (22.9% of total)
ival-sin: 7.0ms (13.4% of total)
ival-cos: 5.0ms (9.6% of total)
const: 4.0ms (7.6% of total)
ival-div: 2.0ms (3.8% of total)
ival-sqrt: 2.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory
-33.6MiB live, 60.9MiB allocated
Counts
19 → 94
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x))
(fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))
(/.f64 z x)
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
#s(approx (cos y) #s(literal 1 binary64))
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* y z)
(+ x (* y z))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(* -1/6 (* y z))
(+ (* -1/2 x) (* -1/6 (* y z)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ z x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(* -1/2 x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
z
(+ z (* -1/2 (* x y)))
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(sqrt (* y z))
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z))))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z))))))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y))))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(sin y)
(* y (+ z (/ x y)))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(sqrt (* z (sin y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2)))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
z
@-inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (sqrt (* (sin y) z)) (* (sin y) z) (cos y))
7.0ms
z
@0
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (sqrt (* (sin y) z)) (* (sin y) z) (cos y))
7.0ms
x
@inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (sqrt (* (sin y) z)) (* (sin y) z) (cos y))
3.0ms
x
@-inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (sqrt (* (sin y) z)) (* (sin y) z) (cos y))
2.0ms
z
@inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (sqrt (* (sin y) z)) (* (sin y) z) (cos y))

simplify210.0ms (1.8%)

Memory
37.9MiB live, 263.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03101137
111581086
244261073
08585975
Stop Event
iter limit
node limit
Counts
94 → 91
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* y z)
(+ x (* y z))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(* -1/6 (* y z))
(+ (* -1/2 x) (* -1/6 (* y z)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ z x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(* -1/2 x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
z
(+ z (* -1/2 (* x y)))
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(sqrt (* y z))
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z))))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z))))))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y))))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(sin y)
(* y (+ z (/ x y)))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(sqrt (* z (sin y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2)))
Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)
(+ z (* -1/6 (* (pow y 2) z)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z)
(* -1/6 (* y z))
(*.f64 #s(literal -1/6 binary64) (*.f64 z y))
(+ (* -1/2 x) (* -1/6 (* y z)))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y)))
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) x)
(/ z x)
(/.f64 z x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
x
(* x (+ 1 (/ (* y z) x)))
(*.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x)
(* x (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x)) x x)
(* -1/2 (* x y))
(*.f64 (*.f64 x y) #s(literal -1/2 binary64))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) x)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) y) #s(literal 1 binary64)))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) x)
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 z x) #s(literal -1/2 binary64)) x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)
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)
(+ x (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.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))
z
(+ z (* -1/2 (* x y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z)
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z)
(+ 1 (/ (* y z) x))
(fma.f64 (/.f64 z x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64))
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) z)) #s(literal -1/12 binary64) (sqrt.f64 (*.f64 z y)))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z))))))
(fma.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 z y)))
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 z y))) #s(literal 1/1440 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 z y)))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64)) (*.f64 z y))
(sin y)
(sin.f64 y)
(* y (+ z (/ x y)))
(*.f64 (+.f64 (/.f64 x y) z) y)
(* -1/6 (* (pow y 3) z))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z)
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* -1/6 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) y)
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y)
(sqrt (* z (sin y)))
(sqrt.f64 (*.f64 (sin.f64 y) z))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) z) y)
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y)
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* z (+ y (/ x z)))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal -1 binary64)) x) z)) (neg.f64 z))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 z))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z)
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(*.f64 (sin.f64 y) z)
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))

rewrite418.0ms (3.6%)

Memory
-20.0MiB live, 415.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036179
058169
1209169
21355169
08318167
Stop Event
iter limit
node limit
iter limit
Counts
19 → 509
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x)
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x))
(fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64)))
(/.f64 z x)
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
#s(approx (cos y) #s(literal 1 binary64))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))) (+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (neg.f64 x) (cos.f64 y)))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 x) (cos.f64 y))))))
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(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) (sqrt.f64 (sin.f64 y)))
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(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) z)
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 y)) (fabs.f64 (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y))))))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (fabs.f64 (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(+.f64 (cosh.f64 (log.f64 (*.f64 z (sin.f64 y)))) (sinh.f64 (log.f64 (*.f64 z (sin.f64 y)))))
#s(approx (cos y) #s(literal 1 binary64))

eval148.0ms (1.3%)

Memory
32.7MiB live, 214.4MiB allocated
Compiler

Compiled 22 770 to 2 109 computations (90.7% saved)

prune72.0ms (0.6%)

Memory
-12.6MiB live, 93.8MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New59914613
Fresh81018
Picked235
Done022
Total60929638
Accuracy
100.0%
Counts
638 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(fma.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
42.1%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
48.6%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
47.8%
(fma.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
75.5%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
73.8%
(fma.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) x (*.f64 (sin.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
52.3%
(+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))
27.3%
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)))))
24.9%
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
86.9%
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
42.8%
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (sin.f64 y) z))
50.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x))
51.0%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
45.7%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x))
34.0%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
33.3%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
33.3%
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
20.0%
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))))
51.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
58.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x))
87.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
64.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
70.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x))
46.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x))
43.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
59.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
20.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Compiler

Compiled 1 521 to 940 computations (38.2% saved)

simplify170.0ms (1.5%)

Memory
5.9MiB live, 141.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))
cost-diff0
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
cost-diff0
(/.f64 (cos.f64 y) z)
cost-diff0
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
cost-diff0
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
cost-diff2
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
cost-diff0
(neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))
cost-diff0
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))
cost-diff0
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
cost-diff2
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067459
0103452
1188452
2455452
31414452
44765448
08183426
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)
(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))
(/.f64 x z)
x
z
(cos.f64 y)
y
(sin.f64 y)
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
x
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))
(neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 z y)
z
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
(sin.f64 y)
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 (neg.f64 x) (cos.f64 y))
(neg.f64 x)
x
(cos.f64 y)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
#s(literal 2 binary64)
#s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
#s(literal 1 binary64)
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 x z)
x
z
(cos.f64 y)
y
(sin.f64 y)
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
x
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) (neg.f64 z))))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) (neg.f64 z)))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) (neg.f64 z))
(neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 z y)
z
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
(sin.f64 y)
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
(*.f64 #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))
(sin.f64 y)
y
z
(*.f64 (neg.f64 x) (cos.f64 y))
(neg.f64 x)
x
(cos.f64 y)
(*.f64 (sin.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
#s(literal 2 binary64)
#s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
#s(literal 1 binary64)

localize265.0ms (2.3%)

Memory
-30.4MiB live, 216.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
accuracy0.1015625
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
accuracy13.737945989251784
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
accuracy18.25129138825459
#s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
accuracy0.0
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
accuracy0.03515625
(/.f64 (cos.f64 y) z)
accuracy0.06640625
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
accuracy3.802046689324834
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
accuracy0.09375
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
accuracy0.4940930955521009
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))
accuracy13.528486737864085
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))))
accuracy14.54908550127811
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))
accuracy0.0
(*.f64 y y)
accuracy1.2083514760437624
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
accuracy12.608144709554047
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
accuracy13.528486737864085
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
accuracy0.0
(cos.f64 y)
accuracy0.0
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
accuracy0.05859375
(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))
accuracy3.802046689324834
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)
Samples
145.0ms120×0valid
72.0ms136×0invalid
Compiler

Compiled 360 to 55 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-mult: 89.0ms (56.9% of total)
ival-sin: 24.0ms (15.3% of total)
ival-add: 14.0ms (8.9% of total)
ival-div: 7.0ms (4.5% of total)
ival-cos: 7.0ms (4.5% of total)
const: 7.0ms (4.5% of total)
ival-pow2: 3.0ms (1.9% of total)
ival-sqrt: 2.0ms (1.3% of total)
ival-neg: 2.0ms (1.3% of total)
ival-sub: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series83.0ms (0.7%)

Memory
27.6MiB live, 72.1MiB allocated
Counts
26 → 128
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))
(/.f64 x z)
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))
(neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 (cos.f64 y) z)
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))
(sin.f64 y)
(cos.f64 y)
(*.f64 y y)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
#s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(/ x z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2)))
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2)))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(/ 1 (* z (sin y)))
(+ (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(+ (* x (- (+ (* x (- (* -1 (* x (+ (/ (* (cos y) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow (cos y) 2) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))))) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(* (pow x 2) (pow (cos y) 2))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(/ (* x (cos y)) z)
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2)))
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))))
(* -1 (* x (cos y)))
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))
(/ 1 (* x (cos y)))
(/ (- (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (pow x 2))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (* -1 (/ (+ (/ (* z (* (sin y) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (pow (cos y) 2))) (pow x 3))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2)))
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))))
(* -1 (/ (- (* -1 (/ (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (cos y))))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))))) (* x (cos y)))) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y)))) x)) (/ (* z (sin y)) (pow (cos y) 2))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ y (/ x z))
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
(+ x (* -1/2 (* x (pow y 2))))
1
(+ 1 (* -1/2 (pow y 2)))
(* y z)
(+ 1 (* -1/6 (pow y 2)))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(pow x 2)
(+ (* -1 (* x (* y z))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (pow z 2))))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (+ (* y (* z (+ (* 1/6 x) (* 1/2 x)))) (pow z 2)))))) (pow x 2))
(* -1 x)
(+ (* -1 x) (* y z))
(+ (* -1 x) (* y (+ z (* 1/2 (* x y)))))
(+ (* -1 x) (* y (+ z (* y (+ (* -1/6 (* y z)) (* 1/2 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))))
(+ 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)))
(pow y 2)
(* 1/6 (pow y 2))
(/ 1 x)
(+ (* y (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (+ (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (+ (* y (- (+ (* 1/2 (/ 1 x)) (* y (- (* -1/6 (/ z (pow x 2))) (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) x)) (+ (/ (* z (+ (* 1/6 x) (* 1/2 x))) (pow x 3)) (/ (* (+ (* -1 (pow x 2)) (pow z 2)) (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (pow x 2))))))) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 (* y z))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ (cos y) z)
(+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))
(cos y)
(/ (+ (* x (cos y)) (* z (sin y))) (+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2))))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(/ (+ (* x (cos y)) (* z (sin y))) z)
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(* y (* z (- 1 (* 1/6 (pow y 2)))))
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2)))
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2)))
(+ (* z (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (+ (* -1 (* z (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (+ (* z (- (* -1 (* z (+ (/ (* (sin y) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow (sin y) 2) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* (pow x 2) (pow (cos y) 2)))))) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(/ (- (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (pow z 2))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (+ (* -1 (/ (+ (/ (* x (* (cos y) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (pow z 3))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2)))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2)))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(* -1 (/ (- (* -1 (/ (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (+ (/ (* x (cos y)) (pow (sin y) 2)) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (sin y))))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))))) (* z (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
Calls

9 calls:

TimeVariablePointExpression
47.0ms
y
@-inf
((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (neg (- (* 1/6 (* y y)) 1)) (* z y)) (neg (- (* 1/6 (* y y)) 1)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (sin y) (cos y) (* y y) (* 1/6 (* y y)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/ 1 (* (sin y) z)) (pow (* (cos y) x) 2))
5.0ms
z
@-inf
((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (neg (- (* 1/6 (* y y)) 1)) (* z y)) (neg (- (* 1/6 (* y y)) 1)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (sin y) (cos y) (* y y) (* 1/6 (* y y)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/ 1 (* (sin y) z)) (pow (* (cos y) x) 2))
5.0ms
y
@inf
((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (neg (- (* 1/6 (* y y)) 1)) (* z y)) (neg (- (* 1/6 (* y y)) 1)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (sin y) (cos y) (* y y) (* 1/6 (* y y)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/ 1 (* (sin y) z)) (pow (* (cos y) x) 2))
4.0ms
z
@0
((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (neg (- (* 1/6 (* y y)) 1)) (* z y)) (neg (- (* 1/6 (* y y)) 1)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (sin y) (cos y) (* y y) (* 1/6 (* y y)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/ 1 (* (sin y) z)) (pow (* (cos y) x) 2))
4.0ms
x
@-inf
((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (+ (* (cos y) x) (* (sin y) z)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (neg (- (* 1/6 (* y y)) 1)) (* z y)) (neg (- (* 1/6 (* y y)) 1)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y))) (sin y) (cos y) (* y y) (* 1/6 (* y y)) (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/ 1 (* (sin y) z)) (pow (* (cos y) x) 2))

simplify248.0ms (2.2%)

Memory
-6.7MiB live, 366.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123366
121872828
086992680
Stop Event
iter limit
node limit
Counts
128 → 126
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(/ x z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2)))
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2)))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(/ 1 (* z (sin y)))
(+ (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(+ (* x (- (+ (* x (- (* -1 (* x (+ (/ (* (cos y) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow (cos y) 2) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))))) (+ (* -1 (/ (* (cos y) (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
(* (pow x 2) (pow (cos y) 2))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(/ (* x (cos y)) z)
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2)))
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))))
(* -1 (* x (cos y)))
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))
(/ 1 (* x (cos y)))
(/ (- (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (pow x 2))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (* -1 (/ (+ (/ (* z (* (sin y) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (pow (cos y) 2))) (pow x 3))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2)))
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))))
(* -1 (/ (- (* -1 (/ (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (cos y))))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))))) (* x (cos y)))) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y)))) x)) (/ (* z (sin y)) (pow (cos y) 2))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ y (/ x z))
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
(+ x (* -1/2 (* x (pow y 2))))
1
(+ 1 (* -1/2 (pow y 2)))
(* y z)
(+ 1 (* -1/6 (pow y 2)))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(pow x 2)
(+ (* -1 (* x (* y z))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (pow z 2))))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (* y (+ (* -1 (pow x 2)) (+ (* y (* z (+ (* 1/6 x) (* 1/2 x)))) (pow z 2)))))) (pow x 2))
(* -1 x)
(+ (* -1 x) (* y z))
(+ (* -1 x) (* y (+ z (* 1/2 (* x y)))))
(+ (* -1 x) (* y (+ z (* y (+ (* -1/6 (* y z)) (* 1/2 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))))
(+ 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)))
(pow y 2)
(* 1/6 (pow y 2))
(/ 1 x)
(+ (* y (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (+ (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (+ (* y (- (+ (* 1/2 (/ 1 x)) (* y (- (* -1/6 (/ z (pow x 2))) (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) x)) (+ (/ (* z (+ (* 1/6 x) (* 1/2 x))) (pow x 3)) (/ (* (+ (* -1 (pow x 2)) (pow z 2)) (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) (pow x 2))))))) (+ (* -1 (/ (* z (- (/ z (pow x 2)) (* -1 (/ z (pow x 2))))) x)) (/ (pow z 2) (pow x 3))))) (/ z (pow x 2))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 (* y z))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ (cos y) z)
(+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))
(cos y)
(/ (+ (* x (cos y)) (* z (sin y))) (+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2))))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(/ (+ (* x (cos y)) (* z (sin y))) z)
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(* y (* z (- 1 (* 1/6 (pow y 2)))))
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2)))
(+ (* z (+ (* -1 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2)))
(+ (* z (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (+ (* -1 (* z (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (+ (* z (- (* -1 (* z (+ (/ (* (sin y) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow (sin y) 2) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* (pow x 2) (pow (cos y) 2)))))) (+ (* -1 (/ (* (sin y) (- (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (* x (cos y)))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(/ (- (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (pow z 2))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (+ (* -1 (/ (+ (/ (* x (* (cos y) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (pow z 3))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2)))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2)))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(* -1 (/ (- (* -1 (/ (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (+ (/ (* x (cos y)) (pow (sin y) 2)) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (sin y))))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))))) (* z (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/ x z)
(/.f64 x z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z x))
(* x (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(* (pow z 2) (pow (sin y) 2))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
(+ (* -1 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2)))
(*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))
(+ (* x (+ (* -1 (* z (* (cos y) (sin y)))) (* x (pow (cos y) 2)))) (* (pow z 2) (pow (sin y) 2)))
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))
(+ (* -1 (* x (cos y))) (* z (sin y)))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(+ (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y))))
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(* (pow x 2) (pow (cos y) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(/ (* x (cos y)) z)
(/.f64 (*.f64 (cos.f64 y) x) z)
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) x)
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x)) x x)
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2)))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (*.f64 (sin.f64 y) (cos.f64 y)) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (*.f64 (sin.f64 y) (cos.f64 y)) x) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x x))
(* -1 (* x (cos y)))
(*.f64 (neg.f64 x) (cos.f64 y))
(* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(/ (- (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) x)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (pow x 2))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (cos.f64 y))) x) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) x)
(/ (- (+ (* -1 (/ (+ (/ (* z (* (sin y) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (pow (cos y) 2))) (pow x 3))) (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (cos.f64 y))) (sin.f64 y)) z) (cos.f64 y))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) (/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (cos.f64 y))) (*.f64 x x)))) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 (neg.f64 x) (neg.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)) x)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* z (* (cos y) (sin y)))) x)) (pow (cos y) 2)))
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(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (/ (- (* -1 (/ (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* z (* (sin y) (- (/ (* z (sin y)) (pow (cos y) 2)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))))) (* x (cos y))))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
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(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z)
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2)))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 (sin.f64 y) (cos.f64 y)) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 (sin.f64 y) (cos.f64 y)) z) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 x x) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z z))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) z)
(/ (- (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) z)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (pow z 2))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (sin.f64 y))) z) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z))) z)
(/ (- (+ (* -1 (/ (+ (/ (* x (* (cos y) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (pow z 3))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (sin.f64 y))) (cos.f64 y)) x) (sin.f64 y))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (sin.f64 y))) (*.f64 z z)))) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) (neg.f64 z))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(*.f64 (*.f64 (neg.f64 y) z) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (neg.f64 z))) (neg.f64 z))
(* -1 (* z (* (sin y) (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z)
(* -1 (* z (+ (* -1 (/ (* x (cos y)) z)) (* (sin y) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))) (neg.f64 z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z)) (* x (* (cos y) (sin y)))) z)) (pow (sin y) 2)))
(*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (/.f64 (fma.f64 (*.f64 x (sin.f64 y)) (cos.f64 y) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z))) (neg.f64 z))) (*.f64 z z))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (+ (/ (* x (cos y)) (pow (sin y) 2)) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (sin y))))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 x x) z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 y) x) (sin.f64 y)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))))) (* z (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (/ (* x (* (cos y) (- (/ (* x (cos y)) (pow (sin y) 2)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 (fma.f64 (*.f64 x x) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (cos.f64 y)) x) (sin.f64 y))) z)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (fma.f64 (*.f64 x x) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (cos.f64 y)) x) (sin.f64 y))))) z) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 y) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))

rewrite273.0ms (2.4%)

Memory
9.4MiB live, 443.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067404
0103397
1359397
22253397
09523374
Stop Event
iter limit
node limit
iter limit
Counts
26 → 827
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))
(/.f64 x z)
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y)))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))
(neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 (cos.f64 y) z)
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))
(sin.f64 y)
(cos.f64 y)
(*.f64 y y)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
#s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
Outputs
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(*.f64 z (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) (*.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z)) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x))) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))
(/.f64 (*.f64 z (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)))) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z))
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)))) (sqrt.f64 z) (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)) (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)))
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z))
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1/4 binary64)) (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) z (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) z (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)))
(fma.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) z) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z))
(fma.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) z) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)) (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)))
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(*.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (neg.f64 x))) (fabs.f64 (cos.f64 y)))
(*.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (cos.f64 y))) (fabs.f64 x))
(*.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 (*.f64 x (*.f64 (cos.f64 y) x))))
(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 y)))))
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) x) #s(literal 1 binary64)) (cos.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (neg.f64 x)) #s(literal 1 binary64)) (cos.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y)) x)
(*.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (cos.f64 y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (neg.f64 x)) (cos.f64 y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (cos.f64 y)) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (cos.f64 y) (*.f64 (neg.f64 x) (cos.f64 y)))))
(*.f64 (fabs.f64 x) (fabs.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (*.f64 x x) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (neg.f64 x) (cos.f64 y)))
(*.f64 (neg.f64 x) (*.f64 (cos.f64 y) (*.f64 (neg.f64 x) (cos.f64 y))))
(*.f64 (*.f64 (cos.f64 y) x) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) (pow.f64 (*.f64 x (*.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(*.f64 (cos.f64 y) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 1 binary64)))
(*.f64 (cos.f64 y) (*.f64 x (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 y))))
(*.f64 x (pow.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(*.f64 x (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (cos.f64 y) x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))))))
(neg.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 x) (cos.f64 y))))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (cos.f64 y) x)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 x) (cos.f64 y))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 (cos.f64 y) x)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))

eval208.0ms (1.8%)

Memory
34.8MiB live, 407.6MiB allocated
Compiler

Compiled 64 745 to 4 080 computations (93.7% saved)

prune91.0ms (0.8%)

Memory
-30.2MiB live, 177.8MiB allocated
Pruning

36 alts after pruning (28 fresh and 8 done)

PrunedKeptTotal
New96510975
Fresh11819
Picked235
Done055
Total968361 004
Accuracy
100.0%
Counts
1 004 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(fma.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
42.1%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
48.6%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
47.8%
(fma.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) x))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
75.5%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
73.8%
(fma.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) x (*.f64 (sin.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
52.3%
(+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))
27.3%
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)))))
23.6%
(*.f64 #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
86.9%
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
70.6%
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (sin.f64 y)) z))
42.8%
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (sin.f64 y) z))
50.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x))
51.0%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
45.7%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x))
34.0%
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
33.3%
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
20.0%
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) z)))
20.1%
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) (*.f64 z y))))
3.2%
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
35.6%
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x)))
20.0%
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 z y))))
3.2%
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (*.f64 z y))))
3.3%
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
51.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
58.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x))
87.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
64.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
70.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x))
46.3%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x))
43.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
59.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
45.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ x z) (cos y)) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
20.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Compiler

Compiled 2 926 to 1 006 computations (65.6% saved)

regimes73.0ms (0.6%)

Memory
-1.6MiB live, 188.3MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) z)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ x z) (cos y)) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (sin.f64 y)) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(fma.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
(fma.f64 (exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) x (*.f64 (sin.f64 y) z))
(*.f64 #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x))
(+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) x))
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z)))))
(+.f64 (*.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) (*.f64 z (sin.f64 y)))
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)) (*.f64 (fma.f64 (neg.f64 z) (*.f64 (sin.f64 y) (/.f64 (cos.f64 y) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
Calls

4 calls:

18.0ms
y
18.0ms
z
17.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.0ms
x
Results
AccuracySegmentsBranch
99.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes46.0ms (0.4%)

Memory
-15.0MiB live, 83.8MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) z)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ x z) (cos y)) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x))
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (sin.f64 y)) z))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
Calls

4 calls:

13.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms
z
9.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
75.5%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
89.5%3x
83.7%3y
87.3%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes27.0ms (0.2%)

Memory
18.5MiB live, 64.9MiB allocated
Counts
29 → 4
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) z)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ x z) (cos y)) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (sin y) z)) (sqrt (* (sin y) z))) (* (cos y) x)) (*.f64 (sin.f64 y) z))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
Calls

3 calls:

10.0ms
z
8.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
82.9%4y
76.9%3z
80.6%3x
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes33.0ms (0.3%)

Memory
4.9MiB live, 98.6MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) z)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ x z) (cos y)) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
Calls

4 calls:

9.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
8.0ms
y
7.0ms
z
7.0ms
x
Results
AccuracySegmentsBranch
70.0%3z
64.2%3(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
71.9%3x
76.4%3y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes31.0ms (0.3%)

Memory
-14.6MiB live, 85.1MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64)))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (neg (- (* 1/6 (* y y)) 1)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) z)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (neg.f64 (-.f64 (*.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64))) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ x z) (cos y)) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
Calls

4 calls:

8.0ms
y
8.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
7.0ms
z
7.0ms
x
Results
AccuracySegmentsBranch
51.9%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
51.9%1z
51.9%1x
51.9%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.1%)

Memory
-21.5MiB live, 23.5MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x)))
Outputs
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x)))
Calls

4 calls:

1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
35.6%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
35.6%1y
42.5%3x
41.9%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0%)

Memory
26.8MiB live, 26.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
20.0%1y
20.0%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
20.0%1z
20.0%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch132.0ms (1.2%)

Memory
4.6MiB live, 153.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
56.0ms
8.886375368729003e+32
7.877067179015355e+35
73.0ms
-5.181108014023327e-25
-8.114337472277392e-32
Samples
118.0ms272×0valid
Compiler

Compiled 590 to 456 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-sin: 71.0ms (64% of total)
ival-cos: 35.0ms (31.5% of total)
ival-mult: 4.0ms (3.6% of total)
ival-add: 1.0ms (0.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch215.0ms (1.9%)

Memory
-15.0MiB live, 135.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
60.0ms
2.209366670447375e-18
8.616503906589419e-17
13.0ms
-1.1628124753454214e-7
-4.9093215096490764e-11
137.0ms
-8.559561876011708e+241
-2.0785093835398945e+231
Samples
92.0ms400×0valid
Compiler

Compiled 882 to 667 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-cos: 65.0ms (80% of total)
ival-sin: 8.0ms (9.8% of total)
ival-mult: 6.0ms (7.4% of total)
ival-add: 2.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch62.0ms (0.5%)

Memory
-13.2MiB live, 33.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.209366670447375e-18
8.616503906589419e-17
60.0ms
-4218.035915374401
-521.099133406211
Samples
11.0ms96×0valid
Compiler

Compiled 727 to 508 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (35.9% of total)
ival-sin: 3.0ms (35.9% of total)
ival-mult: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch61.0ms (0.5%)

Memory
26.4MiB live, 73.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
41.0ms
1.8788111834558487e-28
6.92142335139872e-22
17.0ms
-1.1962945509378589e-163
-2.0683714670111503e-167
Samples
46.0ms272×0valid
Compiler

Compiled 998 to 728 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (35.4% of total)
ival-sin: 6.0ms (35.4% of total)
ival-mult: 4.0ms (23.6% of total)
ival-add: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify97.0ms (0.8%)

Memory
-13.2MiB live, 84.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079303
1132303
2246303
3578303
41253303
52834303
64439303
76502303
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -66355061549583/170141183460469231731687303715884105728 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 114999999999999990858847801992806400 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))))
(if (<=.f64 y #s(literal -9600000000000000453913509587368280802810361948142739667395615830530585367732440353557327512471362714547214394635411670786475117366851576155776510339091768769100141811701932444295838826757997490533403782333911590047640263770854165315584 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -8689154328480147/75557863725914323419136 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)))))
(if (<=.f64 y #s(literal -540 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)) #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 x #s(literal -3983534946125753/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8920298079412249/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -66355061549583/170141183460469231731687303715884105728 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 114999999999999990858847801992806400 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))))
(if (or (<=.f64 x #s(literal -66355061549583/170141183460469231731687303715884105728 binary64)) (not (<=.f64 x #s(literal 114999999999999990858847801992806400 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -9600000000000000453913509587368280802810361948142739667395615830530585367732440353557327512471362714547214394635411670786475117366851576155776510339091768769100141811701932444295838826757997490533403782333911590047640263770854165315584 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal -8689154328480147/75557863725914323419136 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)))))
(if (<=.f64 y #s(literal -540 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)) #s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))))
(if (or (<=.f64 y #s(literal -540 binary64)) (not (<=.f64 y #s(literal 215500602038799/2535301200456458802993406410752 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 x #s(literal -3983534946125753/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8920298079412249/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #s(approx (+ (* (cos y) x) (* (sin y) z)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x)))))
(if (or (<=.f64 x #s(literal -3983534946125753/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) (not (<=.f64 x #s(literal 8920298079412249/44601490397061246283071436545296723011960832 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

soundness1.4s (12.6%)

Memory
47.2MiB live, 1 073.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03101137
111581086
244261073
08585975
05222939
119262441
279812441
080012324
033214
057170
1225170
21566170
08268169
06123366
121872828
086992680
093248
1361244
21343238
34829236
08461209
0819
01319
13919
225119
3260519
0829318
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 526 to 243 computations (53.8% saved)

preprocess154.0ms (1.3%)

Memory
-13.3MiB live, 186.2MiB allocated
Compiler

Compiled 624 to 178 computations (71.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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