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

Time bar (total: 10.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (15.3%)

Memory
61.1MiB live, 1 477.5MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 840.0ms
ival-cos: 336.0ms (40% of total)
ival-sin: 258.0ms (30.7% of total)
ival-mult: 180.0ms (21.4% of total)
ival-add: 56.0ms (6.7% of total)
ival-true: 7.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain243.0ms (2.3%)

Memory
19.5MiB live, 248.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (cos.f64 y))
00-0-z
00-0-(cos.f64 y)
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
58.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sin: 12.0ms (37% of total)
ival-cos: 11.0ms (33.9% of total)
ival-mult: 7.0ms (21.6% of total)
ival-add: 2.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess3.1s (28.7%)

Memory
-295.2MiB live, 333.4MiB 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
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify223.0ms (2.1%)

Memory
-24.7MiB live, 259.7MiB 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)

localize35.0ms (0.3%)

Memory
22.0MiB live, 113.4MiB 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)))
accuracy0.0859375
(*.f64 z (sin.f64 y))
accuracy0.125
(*.f64 x (cos.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: 21.0ms
ival-cos: 10.0ms (46.6% of total)
ival-mult: 5.0ms (23.3% of total)
ival-sin: 5.0ms (23.3% of total)
ival-add: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series95.0ms (0.9%)

Memory
-17.9MiB live, 35.6MiB allocated
Counts
4 → 23
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(cos y)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
Calls

9 calls:

TimeVariablePointExpression
73.0ms
z
@0
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
14.0ms
z
@inf
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms
x
@0
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms
x
@inf
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms
z
@-inf
((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify171.0ms (1.6%)

Memory
5.4MiB live, 242.2MiB 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)

rewrite177.0ms (1.6%)

Memory
21.9MiB live, 250.4MiB 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))))

eval43.0ms (0.4%)

Memory
-34.9MiB live, 70.3MiB allocated
Compiler

Compiled 7 510 to 762 computations (89.9% saved)

prune36.0ms (0.3%)

Memory
-5.9MiB live, 41.4MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New26719286
Fresh000
Picked101
Done000
Total26819287
Accuracy
100.0%
Counts
287 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.0%
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 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)))) (/.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)))))
33.8%
(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)))))
44.0%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
55.6%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
49.3%
(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))
19.6%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (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)))))
54.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))))
65.5%
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
78.1%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
52.1%
(*.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)))))
8.9%
(*.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))))
6.5%
(*.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))))
52.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
52.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
53.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
87.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
85.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
41.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
Compiler

Compiled 1 092 to 552 computations (49.5% saved)

simplify174.0ms (1.6%)

Memory
40.8MiB live, 278.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
cost-diff0
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
cost-diff0
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (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)))))
cost-diff0
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
cost-diff0
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
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
(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
037256
065255
1131255
2316255
31179255
43945255
08383254
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
y
#s(literal 2 binary64)
x
(sqrt.f64 x)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
#s(literal 3 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
(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)))
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))
(*.f64 (neg.f64 x) (cos.f64 y))
(neg.f64 x)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
z
y
x
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(*.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
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (*.f64 z (sin.f64 y)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(cos.f64 y)
y
#s(literal 2 binary64)
x
(sqrt.f64 x)
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
z
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (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 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (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 (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 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
y
z
#s(literal 3 binary64)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x
(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))))
(neg.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))))
(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)))
(*.f64 (neg.f64 x) (cos.f64 y))
(neg.f64 x)
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))
#s(literal 2 binary64)

localize159.0ms (1.5%)

Memory
-27.5MiB live, 208.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(*.f64 (cos.f64 y) x)
accuracy0.11851503907376808
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
accuracy0.7968750000000001
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
accuracy20.943615338044545
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (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)))))
accuracy0.05859375
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
accuracy0.0703125
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
accuracy0.125
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
accuracy0.125
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy0.00390625
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy0.05078125
(*.f64 z (sin.f64 y))
accuracy0.0859375
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy14.93712481865083
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.0
(fma.f64 z y x)
accuracy16.102223859655922
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy0.0
(sin.f64 y)
accuracy0.0
(cos.f64 y)
accuracy0.03515625
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy0.0859375
(*.f64 (cos.f64 y) x)
Samples
78.0ms128×0invalid
38.0ms128×0valid
Compiler

Compiled 257 to 35 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-cos: 47.0ms (49.2% of total)
ival-mult: 14.0ms (14.7% of total)
ival-add: 7.0ms (7.3% of total)
ival-sin: 7.0ms (7.3% of total)
ival-pow: 7.0ms (7.3% of total)
ival-pow2: 5.0ms (5.2% of total)
ival-sqrt: 3.0ms (3.1% of total)
ival-div: 2.0ms (2.1% of total)
ival-neg: 2.0ms (2.1% of total)
ival-sub: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.5%)

Memory
1.1MiB live, 92.9MiB allocated
Counts
18 → 85
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
(*.f64 (sin.f64 y) z)
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* y z)
(+ x (* y z))
(* (sqrt x) (cos y))
(* x (pow (cos y) 2))
(* -1 (* z (sin y)))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))) (* z (sin y))) (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))))))
(* (pow z 3) (pow (sin y) 3))
(+ (* -1 (* (pow x 3) (pow (cos y) 3))) (* (pow z 3) (pow (sin y) 3)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))))))
(* x (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (cos y)))) (pow x 3))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))))
(* -1 (* (pow x 3) (pow (cos y) 3)))
(* (pow x 3) (- (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)) (* z (sin y))) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))))) x)) (* z (sin y))) x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(sqrt x)
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x)))))))
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ x (* y (+ z (* -1 (* y (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x))))))))
(+ x (* y (+ z (* y (+ (* -1 (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2))) (+ (* -1 (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)) (* -1 (/ (* z (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x)))) x))))))) (* -1 (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x)))))))))
(* -1 (pow x 3))
(- (* 3/2 (* (pow x 3) (pow y 2))) (pow x 3))
(- (* (pow y 2) (- (* y (pow z 3)) (* -3/2 (pow x 3)))) (pow x 3))
(- (* (pow y 2) (- (* y (+ (* -7/8 (* (pow x 3) y)) (pow z 3))) (* -3/2 (pow x 3)))) (pow x 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (+ (* -1/2 (* (pow y 2) (pow z 3))) (pow z 3)))
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* 13/120 (* (pow y 2) (pow z 3))))) (pow z 3)))
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* (pow y 2) (+ (* -41/3024 (* (pow y 2) (pow z 3))) (* 13/120 (pow z 3)))))) (pow z 3)))
(sin y)
(cos y)
(* y (+ z (/ x y)))
(pow (cos y) 2)
(* -1 (/ (- (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 3))) (+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))))
(- (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 3)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+ (* x (cos y)) (* z (+ (sin y) (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))))))
(+ (* x (cos y)) (* z (+ (sin y) (* z (+ (* -1 (* z (- (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))) (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))) (* x (cos y))))))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))))
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2))) (+ (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (sin y)) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))))
(* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (pow (sin y) 3)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ (* -1 (* x (cos y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ (* -1 (* x (cos y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z))) z)))))
(* -1 (* (pow z 3) (+ (* -1 (pow (sin y) 3)) (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
y
@0
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (* (sin y) z))
7.0ms
z
@-inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (* (sin y) z))
6.0ms
y
@inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (* (sin y) z))
6.0ms
y
@-inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (* (sin y) z))
5.0ms
x
@0
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow (* (sin y) z) 3) (* (sin y) z))

simplify158.0ms (1.5%)

Memory
2.5MiB live, 238.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04441740
117401449
277181379
081211290
Stop Event
iter limit
node limit
Counts
85 → 83
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* y z)
(+ x (* y z))
(* (sqrt x) (cos y))
(* x (pow (cos y) 2))
(* -1 (* z (sin y)))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))) (* z (sin y))) (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))))))
(* (pow z 3) (pow (sin y) 3))
(+ (* -1 (* (pow x 3) (pow (cos y) 3))) (* (pow z 3) (pow (sin y) 3)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))))))
(* x (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (cos y)))) (pow x 3))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))))
(* -1 (* (pow x 3) (pow (cos y) 3)))
(* (pow x 3) (- (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)) (* z (sin y))) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))))) x)) (* z (sin y))) x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(sqrt x)
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x)))))))
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ x (* y (+ z (* -1 (* y (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x))))))))
(+ x (* y (+ z (* y (+ (* -1 (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2))) (+ (* -1 (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)) (* -1 (/ (* z (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x)))) x))))))) (* -1 (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x)))))))))
(* -1 (pow x 3))
(- (* 3/2 (* (pow x 3) (pow y 2))) (pow x 3))
(- (* (pow y 2) (- (* y (pow z 3)) (* -3/2 (pow x 3)))) (pow x 3))
(- (* (pow y 2) (- (* y (+ (* -7/8 (* (pow x 3) y)) (pow z 3))) (* -3/2 (pow x 3)))) (pow x 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (+ (* -1/2 (* (pow y 2) (pow z 3))) (pow z 3)))
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* 13/120 (* (pow y 2) (pow z 3))))) (pow z 3)))
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* (pow y 2) (+ (* -41/3024 (* (pow y 2) (pow z 3))) (* 13/120 (pow z 3)))))) (pow z 3)))
(sin y)
(cos y)
(* y (+ z (/ x y)))
(pow (cos y) 2)
(* -1 (/ (- (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 3))) (+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))))
(- (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 3)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+ (* x (cos y)) (* z (+ (sin y) (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))))))
(+ (* x (cos y)) (* z (+ (sin y) (* z (+ (* -1 (* z (- (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))) (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))) (* x (cos y))))))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))))
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2))) (+ (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (sin y)) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))))
(* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (pow (sin y) 3)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ (* -1 (* x (cos y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ (* -1 (* x (cos y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z))) z)))))
(* -1 (* (pow z 3) (+ (* -1 (pow (sin y) 3)) (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)))))
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)
(* (sqrt x) (cos y))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (fma.f64 #s(literal 0 binary64) x (neg.f64 (cos.f64 y))) x))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))) (* z (sin y))) (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (/.f64 (fma.f64 (/.f64 (cos.f64 y) z) #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) z) (sin.f64 y))) (sin.f64 y))) #s(literal 0 binary64)) x (neg.f64 (cos.f64 y))) x (*.f64 (neg.f64 z) (sin.f64 y)))
(* (pow z 3) (pow (sin y) 3))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
(+ (* -1 (* (pow x 3) (pow (cos y) 3))) (* (pow z 3) (pow (sin y) 3)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 (*.f64 x y) (/.f64 z x) x)
(* x (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) z (/.f64 #s(literal 0 binary64) x)) x) (cos.f64 y)) x)
(* x (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (cos y)))) (pow x 3))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) z) (sin.f64 y) (/.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3 binary64)) (cos.f64 y))) (cos.f64 y))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (/.f64 #s(literal 0 binary64) x)) x)) (cos.f64 y)) x)
(* -1 (* (pow x 3) (pow (cos y) 3)))
(pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 3 binary64))
(* (pow x 3) (- (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3)) (pow (cos y) 3)))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)) (* z (sin y))) x)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (fma.f64 (sin.f64 y) z (/.f64 #s(literal 0 binary64) x)) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))))) x)) (* z (sin y))) x)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (fma.f64 (sin.f64 y) z (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 z x) (*.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) x) (cos.f64 y))) (cos.f64 y)))) (neg.f64 x))) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (* -1 (pow (cos y) 3)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 x y) #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)
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))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x 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 y y) x) (*.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 y y) x) (*.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 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.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)) (*.f64 z y))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) y) y (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 x)) y) y (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (sqrt.f64 x)) y) y (*.f64 #s(literal 1/24 binary64) (sqrt.f64 x))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x))
(+ x (* -1 (* x (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) x x)
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) x) (neg.f64 x)) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/3 binary64) x)) y) y (neg.f64 x)) (*.f64 y y) x)
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)) y) y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ x (* y (+ z (* -1 (* y (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x))))))))
(fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x)
(+ x (* y (+ z (* y (+ (* -1 (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2))) (+ (* -1 (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)) (* -1 (/ (* z (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x)))) x))))))) (* -1 (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x)))))))))
(fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x) (*.f64 #s(literal -1 binary64) (fma.f64 z (/.f64 (fma.f64 #s(literal 2/3 binary64) x (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x))) x) (*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) x) x) z)))) y (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x))) z) y x)
(* -1 (pow x 3))
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(- (* 3/2 (* (pow x 3) (pow y 2))) (pow x 3))
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(fma.f64 (*.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) y) y (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(- (* (pow y 2) (- (* y (+ (* -7/8 (* (pow x 3) y)) (pow z 3))) (* -3/2 (pow x 3)))) (pow x 3))
(fma.f64 (*.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -7/8 binary64) (pow.f64 z #s(literal 3 binary64))) y)) y) y (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* (pow y 3) (pow z 3))
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(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
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(*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(literal 13/120 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
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(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 #s(literal -41/3024 binary64) (*.f64 y y) #s(literal 13/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y y) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(sin y)
(sin.f64 y)
(cos y)
(cos.f64 y)
(* y (+ z (/ x y)))
(*.f64 (+.f64 (/.f64 x y) z) y)
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
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(/.f64 (neg.f64 (-.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 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (sin.f64 y)) z (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)))
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(*.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 x y) z)))
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(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (+ (sin y) (* z (+ (* -1 (* z (- (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))) (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))) (* x (cos y))))))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) #s(literal 0 binary64)) z (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(* 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)
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)))
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) z)
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2))) (+ (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (sin y)) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) x (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (sin.f64 y))) (sin.f64 y))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))) z)
(* (pow z 3) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (pow (sin y) 3)))
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 x) z) y))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ (* -1 (* x (cos y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z))) z)))))
(*.f64 (neg.f64 z) (-.f64 (sin.f64 y) (/.f64 (neg.f64 (fma.f64 (cos.f64 y) x (/.f64 #s(literal 0 binary64) z))) z)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ (* -1 (* x (cos y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z))) z)))))
(*.f64 (neg.f64 z) (-.f64 (sin.f64 y) (/.f64 (neg.f64 (fma.f64 (cos.f64 y) x (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (cos.f64 y))) z) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) z) (sin.f64 y))) (sin.f64 y))) z))) z)))
(* -1 (* (pow z 3) (+ (* -1 (pow (sin y) 3)) (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))

rewrite244.0ms (2.3%)

Memory
1.3MiB live, 286.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037148
065141
1267139
21858113
08790112
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 046
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(sin.f64 y)
(*.f64 (cos.f64 y) x)
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(fma.f64 z y x)
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (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 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)))
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))
(*.f64 (sin.f64 y) z)
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 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.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 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.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 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.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 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.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)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (fma.f64 (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 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.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 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)))) (*.f64 (-.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 (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 (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 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.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 (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))) (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 (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.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 4 binary64)) (pow.f64 (-.f64 (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)))) #s(literal 2 binary64)))) (*.f64 (+.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))) (-.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)) (-.f64 (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 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.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 6 binary64)) (pow.f64 (-.f64 (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)))) #s(literal 3 binary64)))) (*.f64 (+.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))) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (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)))) #s(literal 2 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)) (-.f64 (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 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 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.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 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 z (sin.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 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 (*.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 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (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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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(fma.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))))
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(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(fma.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(fma.f64 x (fabs.f64 (*.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(fma.f64 x (*.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(fma.f64 (cos.f64 y) (fabs.f64 (*.f64 x (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(fma.f64 (cos.f64 y) (*.f64 x (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(fma.f64 z (*.f64 (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))))
(fma.f64 z (*.f64 (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (*.f64 x (cos.f64 y))))
(fma.f64 z (*.f64 (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(fma.f64 (sin.f64 y) (*.f64 z (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))))
(fma.f64 (sin.f64 y) (*.f64 z (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (*.f64 x (cos.f64 y))))
(fma.f64 (sin.f64 y) (*.f64 z (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.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 z (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 3 binary64)))))
(-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64))))
(-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 z (sin.f64 y))))
(-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))
(-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))))
(-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (*.f64 x (cos.f64 y))))
(-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (cos.f64 y))))
(+.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 z (sin.f64 y)) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64))))
(+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (*.f64 x (cos.f64 y))))
(+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) z)) (fabs.f64 (sin.f64 y)))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y))) (fabs.f64 z))
(*.f64 (fabs.f64 (pow.f64 z #s(literal 3 binary64))) (fabs.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))))
(*.f64 (fabs.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fabs.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 (fabs.f64 z) (fabs.f64 (*.f64 (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 (*.f64 z (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))
(*.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) z)
(*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fabs.f64 (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))
(*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 z (*.f64 (sin.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(*.f64 (sin.f64 y) (*.f64 z (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))
(fabs.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64) (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64) (*.f64 (log.f64 z) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(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)))))

eval225.0ms (2.1%)

Memory
30.1MiB live, 490.8MiB allocated
Compiler

Compiled 53 353 to 4 146 computations (92.2% saved)

prune101.0ms (0.9%)

Memory
-19.7MiB live, 148.6MiB allocated
Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New1 180261 206
Fresh11314
Picked325
Done000
Total1 194311 225
Accuracy
100.0%
Counts
1 225 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
43.8%
(fma.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
55.6%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
39.9%
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x x))) (*.f64 z (sin.f64 y)))
49.3%
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
76.8%
(fma.f64 (sin.f64 y) z (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
78.1%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
7.9%
(/.f64 (fma.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y))) (fabs.f64 z) (pow.f64 (*.f64 x (cos.f64 y)) #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)))))
42.6%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))))
22.3%
(/.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)))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))
20.1%
(/.f64 #s(approx (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #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)))))
52.6%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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)))
52.8%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
21.8%
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
2.6%
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
60.2%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)))
52.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
52.0%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
91.3%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
85.5%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
41.8%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
24.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
53.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
53.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x))
87.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
85.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
43.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
40.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
47.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64)))))
17.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Compiler

Compiled 1 408 to 903 computations (35.9% saved)

simplify136.0ms (1.3%)

Memory
0.9MiB live, 184.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 x (cos.f64 y)))
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
cost-diff3
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
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))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
cost-diff2
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)
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
(/.f64 (sin.f64 y) x)
cost-diff0
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
cost-diff0
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
cost-diff2
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039222
063218
1110216
2222216
3548216
41415207
53124207
66099207
08151201
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
z
(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)
z
y
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
z
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(sin.f64 y)
y
z
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(sin.f64 y)
y
z
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
#s(literal 2 binary64)
Outputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
z
(cos.f64 y)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
z
y
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)))
(*.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)
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))
#s(approx (* z (sin y)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
z
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(sin.f64 y)
y
z
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(sin.f64 y)
y
z
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(*.f64 (cos.f64 y) x)
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
#s(literal 2 binary64)

localize146.0ms (1.4%)

Memory
-5.5MiB live, 141.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
accuracy0.0234375
(sqrt.f64 (*.f64 x (cos.f64 y)))
accuracy0.0703125
(*.f64 x (cos.f64 y))
accuracy0.224941259768442
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
accuracy0.0
(sin.f64 y)
accuracy0.01953125
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
accuracy0.0703125
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
accuracy14.691109461889369
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.0703125
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy1.4369262943253047
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
accuracy14.691109461889369
#s(approx (cos y) #s(literal 1 binary64))
accuracy16.034623656107435
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))
accuracy0.0
(*.f64 z y)
accuracy15.186635111609672
#s(approx (+ (* z y) x) (*.f64 z y))
accuracy15.816465839017958
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy0.0
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
accuracy0.0390625
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
accuracy0.0703125
(/.f64 (sin.f64 y) x)
accuracy2.8599757886273443
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
Samples
66.0ms129×0invalid
32.0ms127×0valid
Compiler

Compiled 172 to 30 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 38.0ms (57.5% of total)
ival-sin: 7.0ms (10.6% of total)
ival-add: 6.0ms (9.1% of total)
ival-cos: 5.0ms (7.6% of total)
const: 4.0ms (6.1% of total)
ival-div: 2.0ms (3% of total)
ival-sqrt: 2.0ms (3% of total)
ival-pow2: 2.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
24.8MiB live, 69.1MiB allocated
Counts
20 → 64
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/.f64 (sin.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)
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(sin.f64 y)
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 x (cos.f64 y)))
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(*.f64 x (cos.f64 y))
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (sin y) x)
(* y z)
(+ x (* y z))
(* x (cos y))
(sqrt (* x (cos y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
x
(* x (+ 1 (/ (* y z) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sqrt x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x))))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x)))))))))
(* 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)))))))
z
(+ z (* -1/6 (* (pow y 2) z)))
(* y (+ z (/ x y)))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(sin y)
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ y (/ x z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
Calls

9 calls:

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

simplify265.0ms (2.5%)

Memory
1.6MiB live, 232.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228683
1846654
23062636
37319634
08894576
Stop Event
iter limit
node limit
Counts
64 → 61
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (sin y) x)
(* y z)
(+ x (* y z))
(* x (cos y))
(sqrt (* x (cos y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
x
(* x (+ 1 (/ (* y z) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sqrt x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x))))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x)))))))))
(* 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)))))))
z
(+ z (* -1/6 (* (pow y 2) z)))
(* y (+ z (/ x y)))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(sin y)
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ y (/ x z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x 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))
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(sqrt (* x (cos y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 x y) #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)
1
#s(literal 1 binary64)
(+ 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 #s(literal -1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (/.f64 y x))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) x) (/.f64 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 (* -1/2 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x x))
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/48 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x)))))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal -19/2880 binary64)) y) y (*.f64 #s(literal -1/48 binary64) x))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.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)) (*.f64 z y))
z
(+ z (* -1/6 (* (pow y 2) z)))
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)
(* 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)) z) #s(literal -1/6 binary64))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) (pow.f64 y #s(literal 3 binary64)))
(sin y)
(sin.f64 y)
(* -1/6 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) y) y)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) z) y)
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) (pow.f64 y #s(literal 3 binary64)))
(* 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 (* -1/6 (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* z (+ y (/ x z)))
(*.f64 (+.f64 (/.f64 x z) 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)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) y) z)

rewrite351.0ms (3.3%)

Memory
-17.5MiB live, 295.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039183
063179
1235175
21427175
08191172
Stop Event
iter limit
node limit
iter limit
Counts
20 → 434
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/.f64 (sin.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)
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(sin.f64 y)
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 x (cos.f64 y)))
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(*.f64 x (cos.f64 y))
Outputs
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 z (/.f64 (sin.f64 y) x)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x))) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 z (/.f64 (sin.f64 y) x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
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(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) z) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) z) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(/.f64 (*.f64 z (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 (*.f64 z (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z (*.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
(fma.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 z #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z) (*.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
(+.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (*.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x))) (fabs.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (cos.f64 y) x))) (sqrt.f64 (neg.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) x) (cos.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 x (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) x))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x)))) (*.f64 (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x))))) (-.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (-.f64 (*.f64 (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x)))) (*.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x)))))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (cos.f64 y) x)))
(fabs.f64 (*.f64 (cos.f64 y) x))
(exp.f64 (/.f64 (+.f64 (log.f64 (*.f64 (cos.f64 y) x)) (log.f64 (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (cos.f64 y) x)) (log.f64 (*.f64 (cos.f64 y) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x))))

eval137.0ms (1.3%)

Memory
-0.0MiB live, 189.0MiB allocated
Compiler

Compiled 17 375 to 1 597 computations (90.8% saved)

prune69.0ms (0.6%)

Memory
7.4MiB live, 102.4MiB allocated
Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New44312455
Fresh91524
Picked145
Done022
Total45333486
Accuracy
100.0%
Counts
486 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
43.8%
(fma.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
55.6%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
39.9%
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x x))) (*.f64 z (sin.f64 y)))
49.3%
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
78.1%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
52.8%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
7.9%
(/.f64 (fma.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y))) (fabs.f64 z) (pow.f64 (*.f64 x (cos.f64 y)) #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)))))
42.6%
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) x) (*.f64 (neg.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) x))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) x)))
52.6%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.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)))
21.8%
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
52.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
52.0%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
79.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))
72.4%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
91.3%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
85.5%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
87.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
41.8%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
46.7%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
47.8%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
91.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
60.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x))
39.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
85.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)))
24.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
53.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
53.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x))
43.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
40.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
51.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))))
17.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Compiler

Compiled 1 492 to 939 computations (37.1% saved)

simplify146.0ms (1.4%)

Memory
9.0MiB live, 153.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (cos.f64 y))
cost-diff4
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
cost-diff0
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
cost-diff1
(neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))
cost-diff1
(-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x))
cost-diff6
(fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))))
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
cost-diff0
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
cost-diff0
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
cost-diff0
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
cost-diff0
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
cost-diff0
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
cost-diff0
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063440
0102439
1200439
2505429
31835398
46093398
08437379
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
z
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
(fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x)
(fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z)
(neg.f64 y)
y
(-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
(/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)
(fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))))
z
(neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))
(fma.f64 (neg.f64 x) x (*.f64 z z))
(neg.f64 x)
(*.f64 z z)
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(sqrt.f64 x)
x
(cos.f64 y)
y
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z
Outputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z)) x)
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z)
(+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))
(+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
z
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) #s(literal 3/2 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x)) y z) y x))
(fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x)
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) #s(literal 3/2 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x)) y z) y x)
(fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z)
(fma.f64 (fma.f64 (neg.f64 x) #s(literal 3/2 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x)) y z)
(neg.f64 y)
y
(-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x))
(fma.f64 #s(literal 3/2 binary64) x (fma.f64 x #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
(/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) x)
(fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))))
(fma.f64 x x #s(literal 0 binary64))
z
(neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))
(*.f64 (+.f64 x z) (-.f64 x z))
(fma.f64 (neg.f64 x) x (*.f64 z z))
(neg.f64 x)
(*.f64 z z)
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(sqrt.f64 x)
x
(cos.f64 y)
y
(*.f64 (sin.f64 y) z)
(sin.f64 y)
z

localize295.0ms (2.8%)

Memory
-8.1MiB live, 226.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 y)
accuracy0.046875
(*.f64 (sin.f64 y) z)
accuracy0.11328125
(*.f64 (sqrt.f64 x) (cos.f64 y))
accuracy0.125
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
accuracy1.253892488027801
(fma.f64 (neg.f64 x) x (*.f64 z z))
accuracy13.959016206593354
(fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))))
accuracy15.880612464997025
(/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)
accuracy18.624009577428456
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
accuracy0.05078125
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy2.14752087674134
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
accuracy13.881358573595607
#s(approx (cos y) #s(literal 1 binary64))
accuracy15.090826751548235
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
accuracy0.0
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
accuracy1.453100164954488
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)
accuracy18.094794250355264
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64))
accuracy0.0625
(/.f64 (sin.f64 y) x)
accuracy0.07421875
(/.f64 (cos.f64 y) z)
accuracy0.0859375
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
accuracy1.453100164954488
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
Samples
86.0ms128×0invalid
70.0ms65×0valid
49.0ms58×1valid
3.0ms1exit
Compiler

Compiled 345 to 56 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-add: 60.0ms (38.3% of total)
ival-mult: 40.0ms (25.6% of total)
ival-div: 9.0ms (5.7% of total)
ival-pow: 9.0ms (5.7% of total)
ival-sin: 8.0ms (5.1% of total)
adjust: 7.0ms (4.5% of total)
ival-cos: 7.0ms (4.5% of total)
ival-neg: 4.0ms (2.6% of total)
const: 4.0ms (2.6% of total)
ival-sub: 3.0ms (1.9% of total)
ival-pow2: 3.0ms (1.9% of total)
ival-sqrt: 2.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series82.0ms (0.8%)

Memory
-27.4MiB live, 74.1MiB allocated
Counts
26 → 91
Calls
Call 1
Inputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))))
(-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x))
(neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(sqrt.f64 x)
(cos.f64 y)
(/.f64 (cos.f64 y) z)
(/.f64 (sin.f64 y) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)
(fma.f64 (neg.f64 x) x (*.f64 z z))
(*.f64 (sin.f64 y) z)
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(pow x 2)
(* 1/2 x)
(* -1 (pow z 2))
(- (pow x 2) (pow z 2))
(* -1 (* z (sin y)))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))) (* z (sin y))) (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))))))
(* (sqrt x) (cos y))
(sqrt x)
(/ (sin y) x)
x
(pow z 2)
(+ (* -1 (pow x 2)) (pow z 2))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(* x (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))))))
(* x (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (cos y)))) (pow x 3))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)) (* z (sin y))) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))))) x)) (* z (sin y))) x)))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* 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)))))))
(+ x (* y (+ z (* -1 (* y (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x))))))))
(+ x (* y (+ z (* y (+ (* -1 (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2))) (+ (* -1 (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)) (* -1 (/ (* z (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x)))) x))))))) (* -1 (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x)))))))))
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x)))))))
(/ 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))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
z
(+ z (* -1/6 (* (pow y 2) z)))
(+ 1 (* -1/6 (pow y 2)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1 (/ (- (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 3))) (+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))))
(/ (cos y) z)
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(- (* 3/2 x) x)
(- (* -1 (pow z 2)) (* -1 (pow x 2)))
(+ (* x (cos y)) (* z (+ (sin y) (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))))))
(+ (* x (cos y)) (* z (+ (sin y) (* z (+ (* -1 (* z (- (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))) (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))) (* x (cos y))))))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))))
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2))) (+ (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (sin y)) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))))
(* (pow z 2) (+ 1 (* -1 (/ (pow x 2) (pow z 2)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ (* -1 (* x (cos y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ (* -1 (* x (cos y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z))) z)))))
Calls

9 calls:

TimeVariablePointExpression
27.0ms
z
@-inf
((+ (* (sin y) z) (* (cos y) x)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (* (+ (/ (cos y) z) (/ (sin y) x)) z) (+ (* (sin y) z) (* (cos y) x)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (cos y) x) (* z (sin y))) (cos y) (* z (sin y)) (* (* (+ (* -1/6 (* y y)) 1) z) y) (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) (- (* 3/2 x) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x)) (neg (+ (* (neg x) x) (* z z))) (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (* (sqrt x) (cos y)) (sqrt x)) (* (sin y) z)) (* (sqrt x) (cos y)) (sqrt x) (cos y) (/ (cos y) z) (/ (sin y) x) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/6 (* y y)) 1) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x) (+ (* (neg x) x) (* z z)) (* (sin y) z))
25.0ms
y
@0
((+ (* (sin y) z) (* (cos y) x)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (* (+ (/ (cos y) z) (/ (sin y) x)) z) (+ (* (sin y) z) (* (cos y) x)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (cos y) x) (* z (sin y))) (cos y) (* z (sin y)) (* (* (+ (* -1/6 (* y y)) 1) z) y) (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) (- (* 3/2 x) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x)) (neg (+ (* (neg x) x) (* z z))) (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (* (sqrt x) (cos y)) (sqrt x)) (* (sin y) z)) (* (sqrt x) (cos y)) (sqrt x) (cos y) (/ (cos y) z) (/ (sin y) x) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/6 (* y y)) 1) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x) (+ (* (neg x) x) (* z z)) (* (sin y) z))
5.0ms
y
@inf
((+ (* (sin y) z) (* (cos y) x)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (* (+ (/ (cos y) z) (/ (sin y) x)) z) (+ (* (sin y) z) (* (cos y) x)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (cos y) x) (* z (sin y))) (cos y) (* z (sin y)) (* (* (+ (* -1/6 (* y y)) 1) z) y) (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) (- (* 3/2 x) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x)) (neg (+ (* (neg x) x) (* z z))) (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (* (sqrt x) (cos y)) (sqrt x)) (* (sin y) z)) (* (sqrt x) (cos y)) (sqrt x) (cos y) (/ (cos y) z) (/ (sin y) x) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/6 (* y y)) 1) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x) (+ (* (neg x) x) (* z z)) (* (sin y) z))
5.0ms
y
@-inf
((+ (* (sin y) z) (* (cos y) x)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (* (+ (/ (cos y) z) (/ (sin y) x)) z) (+ (* (sin y) z) (* (cos y) x)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (cos y) x) (* z (sin y))) (cos y) (* z (sin y)) (* (* (+ (* -1/6 (* y y)) 1) z) y) (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) (- (* 3/2 x) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x)) (neg (+ (* (neg x) x) (* z z))) (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (* (sqrt x) (cos y)) (sqrt x)) (* (sin y) z)) (* (sqrt x) (cos y)) (sqrt x) (cos y) (/ (cos y) z) (/ (sin y) x) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/6 (* y y)) 1) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x) (+ (* (neg x) x) (* z z)) (* (sin y) z))
4.0ms
x
@-inf
((+ (* (sin y) z) (* (cos y) x)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (* (+ (/ (cos y) z) (/ (sin y) x)) z) (+ (* (sin y) z) (* (cos y) x)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (cos y) x) (* z (sin y))) (cos y) (* z (sin y)) (* (* (+ (* -1/6 (* y y)) 1) z) y) (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) (- (* 3/2 x) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x)) (neg (+ (* (neg x) x) (* z z))) (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (+ (* (* (sqrt x) (cos y)) (sqrt x)) (* (sin y) z)) (* (sqrt x) (cos y)) (sqrt x) (cos y) (/ (cos y) z) (/ (sin y) x) (* (+ (* -1/6 (* y y)) 1) z) (+ (* -1/6 (* y y)) 1) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x) (+ (* (neg x) x) (* z z)) (* (sin y) z))

simplify199.0ms (1.9%)

Memory
39.2MiB live, 360.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04021657
115431377
267171304
080121216
Stop Event
iter limit
node limit
Counts
91 → 89
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(pow x 2)
(* 1/2 x)
(* -1 (pow z 2))
(- (pow x 2) (pow z 2))
(* -1 (* z (sin y)))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))) (* z (sin y))) (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))))))
(* (sqrt x) (cos y))
(sqrt x)
(/ (sin y) x)
x
(pow z 2)
(+ (* -1 (pow x 2)) (pow z 2))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(* x (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))))))
(* x (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (cos y)))) (pow x 3))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)) (* z (sin y))) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))))) x)) (* z (sin y))) x)))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* 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)))))))
(+ x (* y (+ z (* -1 (* y (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x))))))))
(+ x (* y (+ z (* y (+ (* -1 (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2))) (+ (* -1 (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)) (* -1 (/ (* z (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x)))) x))))))) (* -1 (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x)))))))))
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x)))))))
(/ 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))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
z
(+ z (* -1/6 (* (pow y 2) z)))
(+ 1 (* -1/6 (pow y 2)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1 (/ (- (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 3))) (+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))))
(/ (cos y) z)
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(- (* 3/2 x) x)
(- (* -1 (pow z 2)) (* -1 (pow x 2)))
(+ (* x (cos y)) (* z (+ (sin y) (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))))))
(+ (* x (cos y)) (* z (+ (sin y) (* z (+ (* -1 (* z (- (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))) (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))) (* x (cos y))))))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))))
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2))) (+ (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (sin y)) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))))
(* (pow z 2) (+ 1 (* -1 (/ (pow x 2) (pow z 2)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ (* -1 (* x (cos y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ (* -1 (* x (cos y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z))) z)))))
Outputs
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(/ (* z (sin y)) x)
(*.f64 (/.f64 (sin.f64 y) x) z)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(pow x 2)
(*.f64 x x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(- (pow x 2) (pow z 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y))))
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (fma.f64 #s(literal 0 binary64) x (neg.f64 (cos.f64 y))) x))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* x (+ (* -1 (* x (- (* -1 (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))) (* z (sin y))) (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))))))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) (/.f64 (fma.f64 (/.f64 (cos.f64 y) z) #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) z) (sin.f64 y))) (sin.f64 y))) #s(literal 0 binary64)) x (neg.f64 (cos.f64 y))) x (*.f64 (neg.f64 z) (sin.f64 y)))
(* (sqrt x) (cos y))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(sqrt x)
(sqrt.f64 x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
x
(pow z 2)
(*.f64 z z)
(+ (* -1 (pow x 2)) (pow z 2))
(*.f64 (+.f64 z x) (-.f64 z x))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (/.f64 z x))) (*.f64 x x))
(* x (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 z (sin.f64 y) (/.f64 #s(literal 0 binary64) x)) x) (cos.f64 y)) x)
(* x (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (cos y)))) (pow x 3))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 z (sin.f64 y) (/.f64 #s(literal 0 binary64) x)) x) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) z) (sin.f64 y) (/.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3 binary64)) (cos.f64 y))) (cos.f64 y))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)) (* z (sin y))) x)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (fma.f64 z (sin.f64 y) (/.f64 #s(literal 0 binary64) x)) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) (+ (* -1 (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))))) x)) (* z (sin y))) x)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (fma.f64 z (sin.f64 y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 z x) (*.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) x) (cos.f64 y))) (cos.f64 y)))) (neg.f64 x))) x)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (cos.f64 y))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 x y) #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)
1
#s(literal 1 binary64)
(+ 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 y) x) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64))
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y))
(+ x (* y (+ z (* -1 (* y (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x))))))))
(fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (fma.f64 (neg.f64 z) z (*.f64 x x))) x)) z) y x)
(+ x (* y (+ z (* y (+ (* -1 (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1 (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2))) (+ (* -1 (/ (* z (+ (* 1/6 x) (* 1/2 x))) x)) (* -1 (/ (* z (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x)))) x))))))) (* -1 (- (* 3/2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) x)) (/ (pow z 2) x)))))))))
(fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) z) x) x)) (neg.f64 (*.f64 z (/.f64 (fma.f64 #s(literal 2/3 binary64) x (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (fma.f64 (neg.f64 z) z (*.f64 x x))) x))) x)))) y (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (fma.f64 (neg.f64 z) z (*.f64 x x))) x))) z) y x)
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) y) y (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 x)) y) y (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (sqrt.f64 x)) y) y (*.f64 #s(literal 1/24 binary64) (sqrt.f64 x))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 y y) (sqrt.f64 x))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) z) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) z) y) y (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal -1/6 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
z
(+ z (* -1/6 (* (pow y 2) z)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* -1/6 (* (pow y 3) z))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1/6 binary64))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (/ (- (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 3))) (+ (* z (* (sin y) (+ (* -1 (* x (cos y))) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) (sin.f64 y)) z (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)))
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(* -1/6 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) y) y)
(* -1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) z (/.f64 (/.f64 (neg.f64 z) y) y)))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)
(- (* 3/2 x) x)
(-.f64 (*.f64 #s(literal 3/2 binary64) x) x)
(- (* -1 (pow z 2)) (* -1 (pow x 2)))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(+ (* x (cos y)) (* z (+ (sin y) (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (+ (sin y) (* z (+ (* -1 (* z (- (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))) (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))) (* x (cos y))))))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (/.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) x) (/.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)))) #s(literal 0 binary64)) z (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(* z (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) #s(literal 1 binary64)) (*.f64 z z))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)))
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) z)
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2))) (+ (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (sin y)) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2)))) (pow z 3))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) x (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (sin.f64 y))) (sin.f64 y))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))) z)
(* (pow z 2) (+ 1 (* -1 (/ (pow x 2) (pow z 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (/.f64 x z))) (*.f64 z z))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 (neg.f64 z) (neg.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ (* -1 (* x (cos y))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z))) z)))))
(*.f64 (neg.f64 z) (-.f64 (sin.f64 y) (/.f64 (neg.f64 (fma.f64 x (cos.f64 y) (/.f64 #s(literal 0 binary64) z))) z)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ (* -1 (* x (cos y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y)))) (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z))) z)))))
(*.f64 (neg.f64 z) (-.f64 (sin.f64 y) (/.f64 (neg.f64 (fma.f64 x (cos.f64 y) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) z) #s(literal 0 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (cos.f64 y))) z) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) z) (sin.f64 y))) (sin.f64 y))) z))) z)))

rewrite198.0ms (1.8%)

Memory
-22.0MiB live, 325.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063350
0102349
1391349
23065320
08380305
Stop Event
iter limit
node limit
iter limit
Counts
26 → 297
Calls
Call 1
Inputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)
(fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))))
(-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x))
(neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(sqrt.f64 x)
(cos.f64 y)
(/.f64 (cos.f64 y) z)
(/.f64 (sin.f64 y) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)
(fma.f64 (neg.f64 x) x (*.f64 z z))
(*.f64 (sin.f64 y) z)
Outputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z)) x))
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z)) x)
(*.f64 x #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z)))
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z))
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) z)
(*.f64 z (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 2 binary64))) z) (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
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(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y))))
(cos.f64 (neg.f64 (neg.f64 y)))
(cos.f64 (neg.f64 y))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))
(/.f64 (cos.f64 y) z)
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) z))
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) x)
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(/.f64 (sin.f64 y) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) x))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) z) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) z) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 z (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z (*.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))
(fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))
(+.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1/6 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 z z) x) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z z) x) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 (neg.f64 z) z (*.f64 z z))))) x)
(/.f64 (fma.f64 (*.f64 z z) x (*.f64 x (fma.f64 (neg.f64 z) z (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 z z) (fma.f64 (neg.f64 z) z (*.f64 x x))) x))
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (-.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) x))
(/.f64 (neg.f64 (fma.f64 x x (fma.f64 (neg.f64 z) z (*.f64 z z)))) (neg.f64 x))
(/.f64 (fma.f64 x x (fma.f64 (neg.f64 z) z (*.f64 z z))) x)
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x (fma.f64 (neg.f64 z) z (*.f64 z z)))) x))
(neg.f64 (/.f64 (fma.f64 x x (fma.f64 (neg.f64 z) z (*.f64 z z))) (neg.f64 x)))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) x) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x))
(fma.f64 z (/.f64 z x) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x))
(+.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x) (/.f64 (*.f64 z z) x))
(+.f64 (/.f64 (*.f64 z z) x) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 z) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 z) z))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 z) z)))
(/.f64 (+.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 x) x))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 (neg.f64 x) x (*.f64 z z))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 x (neg.f64 x) (*.f64 z z))
(fma.f64 z z (*.f64 (neg.f64 x) x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 z) z))))
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 z) z))
(-.f64 (*.f64 z z) (*.f64 x x))
(+.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (neg.f64 z)) z))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 z z))
(+.f64 (*.f64 z z) (*.f64 (neg.f64 x) x))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(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))))

eval62.0ms (0.6%)

Memory
19.5MiB live, 163.4MiB allocated
Compiler

Compiled 16 392 to 2 042 computations (87.5% saved)

prune49.0ms (0.5%)

Memory
-19.1MiB live, 122.7MiB allocated
Pruning

37 alts after pruning (29 fresh and 8 done)

PrunedKeptTotal
New4009409
Fresh22022
Picked235
Done156
Total40537442
Accuracy
100.0%
Counts
442 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
43.8%
(fma.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
55.6%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
39.9%
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x x))) (*.f64 z (sin.f64 y)))
49.3%
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
78.1%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
52.6%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.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)))
52.8%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)))
37.7%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) z) y)))
7.9%
(/.f64 (fma.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y))) (fabs.f64 z) (pow.f64 (*.f64 x (cos.f64 y)) #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)))))
42.6%
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) x) (*.f64 (neg.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) x))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) x)))
27.5%
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x)) z) y x))
22.2%
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 x x (fma.f64 (neg.f64 z) z (*.f64 z z))) x)) z) y x))
28.9%
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (+.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (*.f64 z z)) x)) z) y x))
52.0%
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) #s(approx (- (* 3/2 x) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x)) (-.f64 (*.f64 #s(literal 3/2 binary64) x) x)) z) y x))
52.0%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
79.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))
72.4%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
85.5%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
87.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
41.8%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
46.7%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
47.8%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
61.7%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) z) (*.f64 x z))) x))
33.3%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x))
91.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
60.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x))
39.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
85.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)))
24.7%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
53.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
53.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x))
43.6%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
40.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
51.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))))
17.8%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Compiler

Compiled 2 976 to 983 computations (67% saved)

regimes126.0ms (1.2%)

Memory
35.0MiB live, 169.6MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) #s(approx (- (* 3/2 x) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x)) (-.f64 (*.f64 #s(literal 3/2 binary64) x) x)) z) y x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) z) y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.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)))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 x x (fma.f64 (neg.f64 z) z (*.f64 z z))) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (+.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (*.f64 z z)) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x)) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)))
(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 (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x))
(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 (+ (* (sin y) z) (* (cos y) x)) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) z) (*.f64 x z))) x))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 x x))) (*.f64 z (sin.f64 y)))
(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))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) x) (*.f64 (neg.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) x))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 #s(approx (cos y) #s(literal 1 binary64)))) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))
(/.f64 #s(approx (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #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 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (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)))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y))) (fabs.f64 z) (pow.f64 (*.f64 x (cos.f64 y)) #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))) (/.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 (*.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)))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.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))))
(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)))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 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)))) (/.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 (/.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))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Calls

4 calls:

46.0ms
y
41.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.0ms
z
16.0ms
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)

regimes51.0ms (0.5%)

Memory
-32.0MiB live, 106.2MiB 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 (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) #s(approx (- (* 3/2 x) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x)) (-.f64 (*.f64 #s(literal 3/2 binary64) x) x)) z) y x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) z) y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.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)))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 x x (fma.f64 (neg.f64 z) z (*.f64 z z))) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (+.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (*.f64 z z)) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x)) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)))
(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 (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
Calls

4 calls:

16.0ms
z
13.0ms
x
9.0ms
y
9.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
78.1%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
88.5%3x
78.1%1y
88.6%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes84.0ms (0.8%)

Memory
-7.8MiB live, 96.5MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) #s(approx (- (* 3/2 x) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x)) (-.f64 (*.f64 #s(literal 3/2 binary64) x) x)) z) y x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) z) y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.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)))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 x x (fma.f64 (neg.f64 z) z (*.f64 z z))) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (+.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (*.f64 z z)) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x)) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)))
Outputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x))
Calls

4 calls:

26.0ms
x
8.0ms
y
8.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
8.0ms
z
Results
AccuracySegmentsBranch
65.7%3(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
80.7%5y
79.1%3x
73.4%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes39.0ms (0.4%)

Memory
10.6MiB live, 102.2MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) #s(approx (- (* 3/2 x) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x)) (-.f64 (*.f64 #s(literal 3/2 binary64) x) x)) z) y x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) z) y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.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)))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 x x (fma.f64 (neg.f64 z) z (*.f64 z z))) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (+.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (*.f64 z z)) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x)) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (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))) (*.f64 (sin.f64 y) z))
Calls

2 calls:

13.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
76.3%3y
62.7%3x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes35.0ms (0.3%)

Memory
23.9MiB live, 117.8MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) #s(approx (- (* 3/2 x) (/ (+ (* z z) (neg (+ (* (neg x) x) (* z z)))) x)) (-.f64 (*.f64 #s(literal 3/2 binary64) x) x)) z) y x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) z) y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 z (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.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)))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 x x (fma.f64 (neg.f64 z) z (*.f64 z z))) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (+.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (*.f64 z z)) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) x)) z) y x))
#s(approx (/ (- (pow (* (sin y) z) 3) (pow (* (cos y) x) 3)) (neg (+ (* (+ (* (sin y) z) (* (neg x) (cos y))) (* (sin y) z)) (pow (* (cos y) x) 2)))) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) x) (/.f64 (*.f64 z z) x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) x)) z) y x))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
Calls

4 calls:

11.0ms
x
9.0ms
z
7.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
7.0ms
y
Results
AccuracySegmentsBranch
53.2%1x
53.2%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
53.2%1z
53.2%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory
0.4MiB live, 39.1MiB 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 (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
Outputs
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
Calls

4 calls:

5.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
39.2%1y
46.2%3x
39.2%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
43.5%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory
-8.7MiB live, 32.4MiB 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:

5.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
17.8%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.8%1y
17.8%1z
17.8%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch21.0ms (0.2%)

Memory
26.2MiB live, 71.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
1.322089514151449e-35
1.4634830038487587e-35
17.0ms
-1.4660223401121046e-176
-3.371012042002486e-180
Samples
14.0ms144×0valid
Compiler

Compiled 318 to 248 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (34.6% of total)
ival-sin: 3.0ms (34.6% of total)
ival-mult: 2.0ms (23.1% of total)
ival-add: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.5%)

Memory
-28.7MiB live, 166.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
3.1093949236146524e-119
3.0120608391644316e-109
26.0ms
-3225.3398436295793
-0.37003207140872496
Samples
28.0ms288×0valid
Compiler

Compiled 696 to 518 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 7.0ms (37.5% of total)
ival-sin: 6.0ms (32.1% of total)
ival-mult: 4.0ms (21.4% of total)
ival-add: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Memory
51.2MiB live, 140.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
8.516974387022452e-12
8.188144720392599e-10
18.0ms
-0.0036986594462887446
-8.654663872837167e-7
Samples
23.0ms240×0valid
Compiler

Compiled 582 to 449 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (31.8% of total)
ival-cos: 2.0ms (21.2% of total)
ival-sin: 2.0ms (21.2% of total)
ival-add: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch156.0ms (1.5%)

Memory
-64.0MiB live, 107.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
133.0ms
3.061572911889155e-232
1.4823506633594346e-213
20.0ms
-1.4634986492579525e-37
-3.754096945499056e-38
Samples
99.0ms240×0valid
Compiler

Compiled 642 to 464 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-cos: 73.0ms (79.3% of total)
ival-sin: 15.0ms (16.3% of total)
ival-mult: 3.0ms (3.3% of total)
ival-add: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify63.0ms (0.6%)

Memory
19.5MiB live, 63.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068229
1106229
2149229
3251229
4481229
51041229
62558229
76953229
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(if (<=.f64 z #s(literal -8269423619440229/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 5415370496329717/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x))))
(if (<=.f64 y #s(literal -8416326983629983/2305843009213693952 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)) #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 (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 x #s(literal -5555296335638847/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 3497512758335037/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(if (<=.f64 z #s(literal -8269423619440229/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (or (<=.f64 z #s(literal -8269423619440229/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) (not (<=.f64 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)))
(if (<=.f64 x #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 5415370496329717/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x))))
(if (or (<=.f64 x #s(literal -8106479329266893/18014398509481984 binary64)) (not (<=.f64 x #s(literal 5415370496329717/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)))) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) x)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)))
(if (<=.f64 y #s(literal -8416326983629983/2305843009213693952 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)) #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 (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (or (<=.f64 y #s(literal -8416326983629983/2305843009213693952 binary64)) (not (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)))) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 z y x))
(if (<=.f64 x #s(literal -5555296335638847/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 3497512758335037/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))))
(if (or (<=.f64 x #s(literal -5555296335638847/95780971304118053647396689196894323976171195136475136 binary64)) (not (<=.f64 x #s(literal 3497512758335037/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544 binary64)))) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)) #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* z y) x) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* z y) x) (*.f64 z y)))

soundness946.0ms (8.8%)

Memory
12.5MiB live, 864.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228683
1846654
23062636
37319634
08894576
093248
1361244
21343238
34829236
08461209
04441740
117401449
277181379
081211290
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
Compiler

Compiled 438 to 210 computations (52.1% saved)

preprocess68.0ms (0.6%)

Memory
-6.1MiB live, 178.2MiB allocated
Compiler

Compiled 476 to 154 computations (67.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...