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

Time bar (total: 8.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (17%)

Memory
59.1MiB live, 1 644.5MiB allocated; 265ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 782.0ms
ival-cos: 331.0ms (42.3% of total)
ival-sin: 265.0ms (33.9% of total)
ival-mult: 140.0ms (17.9% of total)
ival-add: 35.0ms (4.5% of total)
ival-true: 6.0ms (0.8% of total)
adjust: 3.0ms (0.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain224.0ms (2.8%)

Memory
-7.2MiB live, 269.4MiB allocated; 140ms collecting garbage
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
101.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 18.0ms (43.2% of total)
ival-sin: 11.0ms (26.4% of total)
ival-cos: 10.0ms (24% of total)
ival-add: 2.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess257.0ms (3.2%)

Memory
3.4MiB live, 294.7MiB allocated; 87ms collecting garbage
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
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
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)

simplify126.0ms (1.6%)

Memory
16.5MiB live, 245.3MiB allocated; 24ms collecting garbage
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)

localize161.0ms (2%)

Memory
-58.2MiB live, 123.3MiB allocated; 130ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(cos.f64 y)
accuracy0.01171875
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.1171875
(*.f64 z (sin.f64 y))
accuracy0.12890625
(*.f64 x (cos.f64 y))
Samples
131.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-cos: 110.0ms (89.9% of total)
ival-sin: 7.0ms (5.7% of total)
ival-mult: 3.0ms (2.5% of total)
ival-add: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Counts
4 → 23
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(cos y)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
Calls

9 calls:

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

simplify184.0ms (2.3%)

Memory
8.7MiB live, 234.3MiB allocated; 29ms collecting garbage
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)

rewrite329.0ms (4.1%)

Memory
-17.4MiB live, 324.4MiB allocated; 32ms collecting garbage
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)))))
(/.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 (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 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z)) #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))))

eval53.0ms (0.7%)

Memory
12.3MiB live, 58.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 7 510 to 762 computations (89.9% saved)

prune24.0ms (0.3%)

Memory
-8.2MiB live, 39.2MiB allocated; 1ms collecting garbage
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New26818286
Fresh000
Picked101
Done000
Total26918287
Accuracy
99.9%
Counts
287 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.6%
(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)))))
39.8%
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (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)))))
37.0%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (cos.f64 y) x))
45.6%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
35.0%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x))
38.4%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) z))
54.0%
(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))
22.7%
(/.f64 (fma.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))) (*.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 (cos.f64 y) x) #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)))
57.0%
(-.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 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))))
69.2%
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))
77.6%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
54.5%
#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))
54.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
55.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
86.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
85.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
40.4%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
Compiler

Compiled 876 to 472 computations (46.1% saved)

simplify158.0ms (2%)

Memory
11.9MiB live, 156.8MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
(*.f64 (*.f64 (sin.f64 y) z) z)
cost-diff0
(sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x))
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
030162
052161
191161
2168161
3359161
4725161
51463161
63341161
76697161
08161160
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
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z))
(*.f64 (*.f64 (sin.f64 y) z) z)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
(sqrt.f64 (sin.f64 y))
(*.f64 (cos.f64 y) x)
(cos.f64 y)
x
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
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z))
(sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) z))
(*.f64 (*.f64 (sin.f64 y) z) z)
(*.f64 (*.f64 z (sin.f64 y)) z)
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(sin.f64 y)
y
z
(sqrt.f64 (sin.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(cos.f64 y)
x

localize201.0ms (2.5%)

Memory
-23.4MiB live, 166.8MiB allocated; 15ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.03125
(*.f64 (*.f64 (sin.f64 y) z) z)
accuracy0.03515625
(*.f64 (cos.f64 y) x)
accuracy0.04296875
(*.f64 (sin.f64 y) z)
accuracy6.969613839446198
(sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z))
accuracy0.0234375
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
accuracy0.04296875
(*.f64 (sin.f64 y) z)
accuracy0.046875
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy0.06640625
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
accuracy0.0
(sin.f64 y)
accuracy0.03515625
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy0.04296875
(*.f64 z (sin.f64 y))
accuracy6.599502214233129
#s(approx (cos y) #s(literal 1 binary64))
accuracy0.0
(fma.f64 z y x)
accuracy6.740389149309906
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy0.0
(sin.f64 y)
accuracy0.0
(cos.f64 y)
accuracy0.0234375
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy0.03515625
(*.f64 (cos.f64 y) x)
Samples
125.0ms188×0invalid
15.0ms68×0valid
Compiler

Compiled 157 to 28 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-sqrt: 74.0ms (61.1% of total)
ival-mult: 28.0ms (23.1% of total)
ival-sin: 6.0ms (5% of total)
ival-add: 5.0ms (4.1% of total)
ival-cos: 5.0ms (4.1% of total)
ival-pow2: 2.0ms (1.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
37.7MiB live, 37.7MiB allocated; 0ms collecting garbage
Counts
18 → 63
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))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z))
(*.f64 (*.f64 (sin.f64 y) z) z)
(*.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))
(* x (+ (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)))))))
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)))
(* (sqrt y) z)
(+ (* -1/12 (* (sqrt (pow y 5)) z)) (* (sqrt y) z))
(+ (* (sqrt y) z) (* (pow y 3) (+ (* -1/12 (* (sqrt (/ 1 y)) z)) (* 1/240 (* (sqrt (pow y 3)) z)))))
(+ (* (sqrt y) z) (* (pow y 3) (+ (* -1/12 (* (sqrt (/ 1 y)) z)) (* (pow y 2) (+ (* -1/288 (* (sqrt (/ 1 y)) z)) (* 1/240 (* (sqrt (/ 1 y)) z)))))))
(* y (pow z 2))
(* y (+ (* -1/6 (* (pow y 2) (pow z 2))) (pow z 2)))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow z 2)) (* 1/120 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow z 2)) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (pow z 2))) (* 1/120 (pow z 2)))))) (pow z 2)))
(sin y)
(cos y)
(* y (+ z (/ x y)))
(pow (cos y) 2)
(* z (sqrt (sin y)))
(* (pow z 2) (sin y))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sqrt (sin y))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@0
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* 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) (+ (* (sqrt (* (* (sin y) z) z)) (sqrt (sin y))) (* (cos y) x)) (sqrt (* (* (sin y) z) z)) (* (* (sin y) z) z) (* (sin y) z))
3.0ms
x
@-inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* 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) (+ (* (sqrt (* (* (sin y) z) z)) (sqrt (sin y))) (* (cos y) x)) (sqrt (* (* (sin y) z) z)) (* (* (sin y) z) z) (* (sin y) z))
3.0ms
x
@inf
((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* 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) (+ (* (sqrt (* (* (sin y) z) z)) (sqrt (sin y))) (* (cos y) x)) (sqrt (* (* (sin y) z) z)) (* (* (sin y) z) z) (* (sin y) z))
2.0ms
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) (+ (* (sqrt (* (* (sin y) z) z)) (sqrt (sin y))) (* (cos y) x)) (sqrt (* (* (sin y) z) z)) (* (* (sin y) z) z) (* (sin y) z))
2.0ms
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) (+ (* (sqrt (* (* (sin y) z) z)) (sqrt (sin y))) (* (cos y) x)) (sqrt (* (* (sin y) z) z)) (* (* (sin y) z) z) (* (sin y) z))

simplify184.0ms (2.3%)

Memory
17.3MiB live, 241.3MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0247715
1915686
23438659
37477659
09144601
Stop Event
iter limit
node limit
Counts
63 → 61
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))
(* x (+ (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)))))))
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)))
(* (sqrt y) z)
(+ (* -1/12 (* (sqrt (pow y 5)) z)) (* (sqrt y) z))
(+ (* (sqrt y) z) (* (pow y 3) (+ (* -1/12 (* (sqrt (/ 1 y)) z)) (* 1/240 (* (sqrt (pow y 3)) z)))))
(+ (* (sqrt y) z) (* (pow y 3) (+ (* -1/12 (* (sqrt (/ 1 y)) z)) (* (pow y 2) (+ (* -1/288 (* (sqrt (/ 1 y)) z)) (* 1/240 (* (sqrt (/ 1 y)) z)))))))
(* y (pow z 2))
(* y (+ (* -1/6 (* (pow y 2) (pow z 2))) (pow z 2)))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow z 2)) (* 1/120 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow z 2)) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (pow z 2))) (* 1/120 (pow z 2)))))) (pow z 2)))
(sin y)
(cos y)
(* y (+ z (/ x y)))
(pow (cos y) 2)
(* z (sqrt (sin y)))
(* (pow z 2) (sin y))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sqrt (sin y))))
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)
(* 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)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) y) #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)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) (cos.f64 y))
(+ 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)) (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)
(+ 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 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))) (*.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 (* -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 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))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2))))))
(fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.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 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.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)) (sqrt.f64 x)))
(+ x (* -1 (* x (pow y 2))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y #s(literal -1 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -2/45 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 y y) #s(literal 1 binary64))
(* (sqrt y) z)
(*.f64 (sqrt.f64 y) z)
(+ (* -1/12 (* (sqrt (pow y 5)) z)) (* (sqrt y) z))
(*.f64 z (fma.f64 (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) #s(literal -1/12 binary64) (sqrt.f64 y)))
(+ (* (sqrt y) z) (* (pow y 3) (+ (* -1/12 (* (sqrt (/ 1 y)) z)) (* 1/240 (* (sqrt (pow y 3)) z)))))
(fma.f64 (*.f64 z (pow.f64 y #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/12 binary64))) (*.f64 (sqrt.f64 y) z))
(+ (* (sqrt y) z) (* (pow y 3) (+ (* -1/12 (* (sqrt (/ 1 y)) z)) (* (pow y 2) (+ (* -1/288 (* (sqrt (/ 1 y)) z)) (* 1/240 (* (sqrt (/ 1 y)) z)))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) (fma.f64 #s(literal 1/1440 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (*.f64 (sqrt.f64 y) z))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (+ (* -1/6 (* (pow y 2) (pow z 2))) (pow z 2)))
(*.f64 (*.f64 z z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow z 2)) (* 1/120 (* (pow y 2) (pow z 2))))) (pow z 2)))
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 z z) y))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow z 2)) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (pow z 2))) (* 1/120 (pow z 2)))))) (pow z 2)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) y)
(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))
(* z (sqrt (sin y)))
(*.f64 (sqrt.f64 (sin.f64 y)) z)
(* (pow z 2) (sin y))
(*.f64 (*.f64 (sin.f64 y) z) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) z) y)
(* 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)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x z) y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* z (sqrt (sin y))))
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))

rewrite241.0ms (3%)

Memory
-22.5MiB live, 362.0MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030122
052108
1192106
21197105
08815104
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 731
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))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z))
(*.f64 (*.f64 (sin.f64 y) z) z)
(*.f64 (sin.f64 y) z)
Outputs
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(+.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) #s(literal 0 binary64))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (cos.f64 y) #s(literal 1 binary64))))
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(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 (cos.f64 y))))
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) (cos.f64 y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 y)))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
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(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) #s(literal -2 binary64))
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(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (fabs.f64 z))) (sqrt.f64 (sin.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (fabs.f64 z))
(pow.f64 (exp.f64 (log.f64 (*.f64 (*.f64 z (sin.f64 y)) z))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (*.f64 (*.f64 z (sin.f64 y)) z)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) z))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y)))) (fabs.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y)))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (fabs.f64 z)) (*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (fabs.f64 z)))
(*.f64 (fabs.f64 z) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z z) (sin.f64 y))
(*.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))) (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))))
(*.f64 (*.f64 z (sin.f64 y)) (fabs.f64 z))
(*.f64 (*.f64 z (sin.f64 y)) z)
(*.f64 z (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (*.f64 z z))
(pow.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (*.f64 (*.f64 z (sin.f64 y)) z)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (*.f64 (*.f64 z (sin.f64 y)) z)))
(exp.f64 (fma.f64 (log.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))) (fabs.f64 (sqrt.f64 z)))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (fabs.f64 (sqrt.f64 (sin.f64 y))) (fabs.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y)))))
(*.f64 (fabs.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y)))) (fabs.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 z))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))))) (sqrt.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y))) (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y))))
(*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (*.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (sin.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 z))
(*.f64 (fabs.f64 z) (fabs.f64 (sin.f64 y)))
(*.f64 (fabs.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))))
(*.f64 (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) (fabs.f64 z))
(*.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) (sin.f64 y)))
(fabs.f64 (*.f64 z (sin.f64 y)))
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) #s(literal 1/2 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))

eval220.0ms (2.8%)

Memory
17.6MiB live, 375.5MiB allocated; 82ms collecting garbage
Compiler

Compiled 26 650 to 2 781 computations (89.6% saved)

prune75.0ms (0.9%)

Memory
11.2MiB live, 119.1MiB allocated; 34ms collecting garbage
Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New1 099191 118
Fresh7613
Picked235
Done000
Total1 108281 136
Accuracy
99.9%
Counts
1 136 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.6%
(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)))))
37.0%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (cos.f64 y) x))
45.6%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
45.5%
(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))
21.9%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))))) (sqrt.f64 (sqrt.f64 (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
54.0%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
74.8%
(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))
77.6%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
22.7%
(/.f64 (fma.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))) (*.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 (cos.f64 y) x) #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)))
43.6%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
54.2%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (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))))
54.9%
(+.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)))
90.5%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
61.4%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
54.5%
#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))
54.4%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
85.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
40.4%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
30.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
55.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
86.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
85.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
45.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
47.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
43.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
48.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) y) #s(literal 1 binary64)))))
19.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Compiler

Compiled 1 228 to 773 computations (37.1% saved)

simplify226.0ms (2.8%)

Memory
3.1MiB live, 245.1MiB allocated; 62ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056342
090339
1181331
2490327
31959324
46261324
08109313
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
#s(literal -1/6 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (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))))
(*.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)) (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)))
(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))
(pow.f64 y #s(literal 3 binary64))
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 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y)
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))
z
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 y y)
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) z)
#s(literal -1/6 binary64)
(*.f64 z y)
(fma.f64 (sin.f64 y) z (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
(sin.f64 y)
y
z
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (cos.f64 y))
(cos.f64 y)
#s(literal 2 binary64)
x
Outputs
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
#s(literal -1/6 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (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))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* z (sin y)) (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)))
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))))
(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))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)))
(pow.f64 y #s(literal 3 binary64))
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 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y)
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y)
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z)
z
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 y y)
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) z)
#s(literal -1/6 binary64)
(*.f64 z y)
(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 (*.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(cos.f64 y)
(sqrt.f64 (cos.f64 y))
(cos.f64 y)
#s(literal 2 binary64)
x

localize263.0ms (3.3%)

Memory
-3.4MiB live, 377.2MiB allocated; 35ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 (sin.f64 y) z (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
accuracy0.0234375
(sqrt.f64 (cos.f64 y))
accuracy0.03515625
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)
accuracy0.078125
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
accuracy0.7431199671074129
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))
accuracy1.3593688074906174
(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))
accuracy5.461822564291158
#s(approx (cos y) #s(literal 1 binary64))
accuracy6.594208026054752
#s(approx (* z (sin y)) (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)))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
accuracy0.02734375
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
accuracy0.06640625
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
accuracy6.650420546983865
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
accuracy0.0
(*.f64 z y)
accuracy6.061524890083213
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy15.703889522252519
#s(approx (+ (* z y) x) (*.f64 z y))
accuracy0.0
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
accuracy0.01953125
(/.f64 (sin.f64 y) x)
accuracy0.03125
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
accuracy1.0014197578011512
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
Samples
114.0ms153×0invalid
100.0ms103×0valid
Compiler

Compiled 269 to 54 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 188.0ms
ival-mult: 69.0ms (36.7% of total)
ival-add: 41.0ms (21.8% of total)
ival-cos: 28.0ms (14.9% of total)
ival-pow: 20.0ms (10.6% of total)
const: 10.0ms (5.3% of total)
ival-sin: 6.0ms (3.2% of total)
ival-sqrt: 5.0ms (2.7% of total)
ival-pow2: 5.0ms (2.7% of total)
ival-div: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series86.0ms (1.1%)

Memory
-21.8MiB live, 78.6MiB allocated; 13ms collecting garbage
Counts
23 → 118
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(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))
(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 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (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))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(fma.f64 (sin.f64 y) z (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
(sin.f64 y)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)
#s(approx (* z (sin y)) (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)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))
(sqrt.f64 (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))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(* -1/6 (* y z))
(+ (* -1/2 x) (* -1/6 (* y z)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(* -1/2 x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(+ 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)))
z
(+ z (* -1/2 (* x y)))
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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)))))))
(* -1/6 z)
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 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))))
(* 1/120 z)
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(+ 1 (* -1/4 (pow y 2)))
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4)))
(* y (+ z (/ x y)))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* -1/5040 (* (pow y 7) z))
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/5040 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(sin y)
(* -1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(sqrt (cos y))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ y (/ x z)))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* (pow y 3) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))))
(* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))
Calls

9 calls:

TimeVariablePointExpression
33.0ms
x
@-inf
((+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (pow y 3) (+ (* (* (* z (+ (* -1/5040 (* y y)) 1/120)) y) y) (* -1/6 z))) (* z y)) (+ (* (* (* z (+ (* -1/5040 (* y y)) 1/120)) y) y) (* -1/6 z)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (pow (sqrt (cos y)) 2) (+ (* (sin y) z) (* (pow (sqrt (cos y)) 2) x)) (sin y) (* (pow (sqrt (cos y)) 2) x) (* z (sin y)) (cos y) (* z (+ (* -1/5040 (* y y)) 1/120)) (sqrt (cos y)))
21.0ms
z
@inf
((+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (pow y 3) (+ (* (* (* z (+ (* -1/5040 (* y y)) 1/120)) y) y) (* -1/6 z))) (* z y)) (+ (* (* (* z (+ (* -1/5040 (* y y)) 1/120)) y) y) (* -1/6 z)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (pow (sqrt (cos y)) 2) (+ (* (sin y) z) (* (pow (sqrt (cos y)) 2) x)) (sin y) (* (pow (sqrt (cos y)) 2) x) (* z (sin y)) (cos y) (* z (+ (* -1/5040 (* y y)) 1/120)) (sqrt (cos y)))
10.0ms
z
@0
((+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (pow y 3) (+ (* (* (* z (+ (* -1/5040 (* y y)) 1/120)) y) y) (* -1/6 z))) (* z y)) (+ (* (* (* z (+ (* -1/5040 (* y y)) 1/120)) y) y) (* -1/6 z)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (pow (sqrt (cos y)) 2) (+ (* (sin y) z) (* (pow (sqrt (cos y)) 2) x)) (sin y) (* (pow (sqrt (cos y)) 2) x) (* z (sin y)) (cos y) (* z (+ (* -1/5040 (* y y)) 1/120)) (sqrt (cos y)))
5.0ms
z
@-inf
((+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (pow y 3) (+ (* (* (* z (+ (* -1/5040 (* y y)) 1/120)) y) y) (* -1/6 z))) (* z y)) (+ (* (* (* z (+ (* -1/5040 (* y y)) 1/120)) y) y) (* -1/6 z)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (pow (sqrt (cos y)) 2) (+ (* (sin y) z) (* (pow (sqrt (cos y)) 2) x)) (sin y) (* (pow (sqrt (cos y)) 2) x) (* z (sin y)) (cos y) (* z (+ (* -1/5040 (* y y)) 1/120)) (sqrt (cos y)))
4.0ms
y
@-inf
((+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (pow y 3) (+ (* (* (* z (+ (* -1/5040 (* y y)) 1/120)) y) y) (* -1/6 z))) (* z y)) (+ (* (* (* z (+ (* -1/5040 (* y y)) 1/120)) y) y) (* -1/6 z)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (pow (sqrt (cos y)) 2) (+ (* (sin y) z) (* (pow (sqrt (cos y)) 2) x)) (sin y) (* (pow (sqrt (cos y)) 2) x) (* z (sin y)) (cos y) (* z (+ (* -1/5040 (* y y)) 1/120)) (sqrt (cos y)))

simplify299.0ms (3.7%)

Memory
-9.6MiB live, 234.9MiB allocated; 154ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03761516
113891455
253321436
086221314
Stop Event
iter limit
node limit
Counts
118 → 115
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))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(* -1/6 (* y z))
(+ (* -1/2 x) (* -1/6 (* y z)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(* -1/2 x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(+ 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)))
z
(+ z (* -1/2 (* x y)))
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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)))))))
(* -1/6 z)
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 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))))
(* 1/120 z)
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(+ 1 (* -1/4 (pow y 2)))
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4)))
(* y (+ z (/ x y)))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* -1/5040 (* (pow y 7) z))
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/5040 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(sin y)
(* -1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(sqrt (cos y))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* z (+ y (/ x z)))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* (pow y 3) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))))
(* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))
Outputs
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(+ z (* -1/6 (* (pow y 2) z)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z)
(* -1/6 (* y z))
(*.f64 #s(literal -1/6 binary64) (*.f64 z y))
(+ (* -1/2 x) (* -1/6 (* y z)))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y)))
(* 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))
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 (/.f64 (*.f64 z y) x) x x)
(* x (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x)) x x)
(* -1/2 (* x y))
(*.f64 (*.f64 x y) #s(literal -1/2 binary64))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 z y) x) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) x)
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal 1 binary64)))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) x)
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x) #s(literal 1/2 binary64)))
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x)
1
#s(literal 1 binary64)
(+ 1 (/ (* 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))
(/ 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)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1/5040 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (/.f64 y x))
z
(+ z (* -1/2 (* x y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z)
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z)
(* 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)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (neg.f64 y) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) (neg.f64 z))
(* -1/6 z)
(*.f64 #s(literal -1/6 binary64) z)
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) z (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))
(+ x (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64)) #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 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) y)
(* 1/120 z)
(*.f64 #s(literal 1/120 binary64) z)
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z)
(+ 1 (* -1/4 (pow y 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 y y)) #s(literal 1/96 binary64)) y) y) #s(literal 1/4 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 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) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* -1/6 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) y)
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (*.f64 y y))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y)
(* -1/5040 (* (pow y 7) z))
(*.f64 (*.f64 (pow.f64 y #s(literal 7 binary64)) z) #s(literal -1/5040 binary64))
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) z)) (pow.f64 y #s(literal 7 binary64)))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) z))) (pow.f64 y #s(literal 7 binary64)))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(*.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/5040 binary64) z (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64) (/.f64 z (pow.f64 y #s(literal 6 binary64)))))) (pow.f64 y #s(literal 7 binary64)))
(* -1/5040 (* (pow y 4) z))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) z)
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) z)))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) z))) (pow.f64 y #s(literal 4 binary64)))
(sin y)
(sin.f64 y)
(* -1/5040 (* (pow y 2) z))
(*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) z)) y) y)
(sqrt (cos y))
(sqrt.f64 (cos.f64 y))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) z) y)
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) (neg.f64 y))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) (/.f64 z y)) y)) y) y)
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y)
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) z)) (pow.f64 y #s(literal 7 binary64)))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 7 binary64))) (fma.f64 #s(literal -1/120 binary64) (/.f64 z (*.f64 y y)) (fma.f64 #s(literal 1/5040 binary64) z (*.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64)))))
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/120 binary64) (/.f64 z (*.f64 y y)) (fma.f64 #s(literal 1/5040 binary64) z (*.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64)))))) (pow.f64 y #s(literal 7 binary64)))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z)
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) y) z)
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) z)
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (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)
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* -1 (* z (+ (* -1 (/ (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)
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (neg.f64 z))) (neg.f64 z))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 z))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z)
(* -1 (* z (+ (* -1 y) (* (pow y 3) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (neg.f64 y) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y)) (neg.f64 z))
(* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) z (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))))

rewrite200.0ms (2.5%)

Memory
18.0MiB live, 297.2MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056280
090276
1369266
22681262
09767259
Stop Event
iter limit
node limit
iter limit
Counts
23 → 510
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z)
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(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))
(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 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (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))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(fma.f64 (sin.f64 y) z (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
(sin.f64 y)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)
#s(approx (* z (sin y)) (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)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))
(sqrt.f64 (cos.f64 y))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(*.f64 x (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (fabs.f64 (sqrt.f64 x)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (fabs.f64 (sqrt.f64 x)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (fabs.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (fabs.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (cos.f64 y)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
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(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (sin.f64 y) z))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z))
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (cos.f64 y))))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (sqrt.f64 x)))
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 x) (cos.f64 y)))
(-.f64 (*.f64 (sin.f64 y) z) (neg.f64 (*.f64 x (cos.f64 y))))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.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)) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) z))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(sin.f64 y)
(*.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (fabs.f64 (sqrt.f64 x)))
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 x) (cos.f64 y)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (neg.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 x (cos.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 x) (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) x) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (fabs.f64 (*.f64 (sqrt.f64 (cos.f64 y)) x)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (*.f64 x (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 x (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 x (cos.f64 y))))
(fabs.f64 (*.f64 x (cos.f64 y)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* z (sin y)) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64)) (*.f64 z y)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z)
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) z) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64)) z) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (*.f64 z (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(/.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/120 binary64) z) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z) (*.f64 #s(literal 1/120 binary64) z)))
(/.f64 (fma.f64 (pow.f64 (*.f64 z #s(literal -1/5040 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal 1/1728000 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z) (*.f64 #s(literal 1/120 binary64) z)))))
(fma.f64 (*.f64 z (*.f64 #s(literal -1/5040 binary64) y)) y (*.f64 #s(literal 1/120 binary64) z))
(fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) z))
(fma.f64 (*.f64 z #s(literal -1/5040 binary64)) (*.f64 y y) (*.f64 #s(literal 1/120 binary64) z))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) y) (*.f64 z y) (*.f64 #s(literal 1/120 binary64) z))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z (*.f64 #s(literal 1/120 binary64) z))
(fma.f64 #s(literal 1/120 binary64) z (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z))
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/5040 binary64) z) (*.f64 #s(literal 1/120 binary64) z))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/120 binary64) z))
(fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) z))
(fma.f64 z #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z))
(-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z) (*.f64 #s(literal -1/120 binary64) z))
(-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z) (*.f64 (neg.f64 z) #s(literal 1/120 binary64)))
(+.f64 (*.f64 #s(literal 1/120 binary64) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z))
(+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) z) (*.f64 #s(literal 1/120 binary64) z))
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (neg.f64 (sqrt.f64 (cos.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (cos.f64 y) #s(literal 1/2 binary64))
(sqrt.f64 (cos.f64 y))
(fabs.f64 (neg.f64 (sqrt.f64 (cos.f64 y))))
(fabs.f64 (sqrt.f64 (cos.f64 y)))
(exp.f64 (/.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (cos.f64 y)))) (sinh.f64 (log.f64 (sqrt.f64 (cos.f64 y)))))

eval88.0ms (1.1%)

Memory
2.2MiB live, 248.2MiB allocated; 19ms collecting garbage
Compiler

Compiled 21 526 to 2 364 computations (89% saved)

prune33.0ms (0.4%)

Memory
-2.4MiB live, 90.4MiB allocated; 3ms collecting garbage
Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New60115616
Fresh81220
Picked235
Done033
Total61133644
Accuracy
100.0%
Counts
644 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.8%
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) z))
45.6%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
45.5%
(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))
21.9%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))))) (sqrt.f64 (sqrt.f64 (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
54.0%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
74.8%
(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))
77.6%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
43.6%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
54.2%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))))
54.9%
(+.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)))
78.1%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y))))
70.9%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))))
90.5%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
85.2%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
86.0%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
61.4%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
40.1%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
40.4%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 z (sin.f64 y)))
54.5%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
55.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
55.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x))
38.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
37.7%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
7.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (pow.f64 y #s(literal 3 binary64)))))
37.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
30.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
55.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
85.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
45.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
47.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
43.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
19.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Compiler

Compiled 1 518 to 1 043 computations (31.3% saved)

simplify312.0ms (3.9%)

Memory
26.9MiB live, 360.0MiB allocated; 55ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (cos.f64 y) z)
cost-diff0
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
cost-diff0
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
cost-diff2
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
cost-diff0
(*.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)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))))
cost-diff2
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z))
cost-diff4
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))
cost-diff0
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
cost-diff2
(fma.f64 (*.f64 x y) (/.f64 z x) x)
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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))
cost-diff0
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)
cost-diff0
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055390
085387
1159384
2379379
31238379
44391368
57481368
08008348
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))
(sin.f64 y)
y
(/.f64 z x)
z
x
(cos.f64 y)
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))
(fma.f64 (*.f64 x y) (/.f64 z x) x)
(*.f64 x y)
x
y
(/.f64 z x)
z
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 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)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z)
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 y y)
y
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
z
(*.f64 #s(literal -1/6 binary64) z)
#s(literal -1/6 binary64)
(*.f64 z y)
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
(sin.f64 y)
Outputs
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (fma.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z (*.f64 x (cos.f64 y))))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)
(fma.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(sin.f64 y)
y
(/.f64 z x)
z
x
(cos.f64 y)
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 y #s(literal 1 binary64)) z x)))
#s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))
#s(approx (+ (* z y) x) (fma.f64 (*.f64 y #s(literal 1 binary64)) z x))
(fma.f64 (*.f64 x y) (/.f64 z x) x)
(fma.f64 (*.f64 y #s(literal 1 binary64)) z x)
(*.f64 x y)
x
y
(/.f64 z x)
z
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y)))
#s(approx (* z (sin y)) (*.f64 z (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))
(*.f64 z (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y)
(*.f64 (*.f64 z y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) z)
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y)
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z)
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z)
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 y y)
y
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
z
(*.f64 #s(literal -1/6 binary64) z)
#s(literal -1/6 binary64)
(*.f64 z y)
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
x
(sin.f64 y)

localize262.0ms (3.3%)

Memory
-49.3MiB live, 293.4MiB allocated; 36ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(/.f64 (cos.f64 y) z)
accuracy0.0703125
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
accuracy3.4505896021966245
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
accuracy4.704098204248466
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
accuracy1.9348826918840973
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z)
accuracy2.3203001149812352
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))
accuracy12.35221357452298
#s(approx (cos y) #s(literal 1 binary64))
accuracy13.376681779824402
#s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y)))
accuracy0.0
(*.f64 x y)
accuracy0.0
#s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))
accuracy5.550799438906798
(fma.f64 (*.f64 x y) (/.f64 z x) x)
accuracy12.863847054094409
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
accuracy1.959220533695232
(*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)
accuracy3.4505896021966245
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
accuracy18.420085663030576
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64))
accuracy0.0
(cos.f64 y)
accuracy1.2474543175060768
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))
accuracy1.959220533695232
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)
accuracy3.4505896021966245
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
Samples
136.0ms125×0invalid
68.0ms131×0valid
Compiler

Compiled 287 to 49 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-mult: 76.0ms (46.6% of total)
ival-pow2: 30.0ms (18.4% of total)
const: 26.0ms (15.9% of total)
ival-add: 10.0ms (6.1% of total)
ival-div: 6.0ms (3.7% of total)
ival-cos: 6.0ms (3.7% of total)
ival-sin: 5.0ms (3.1% of total)
ival-sqrt: 4.0ms (2.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.5%)

Memory
5.1MiB live, 51.1MiB allocated; 3ms collecting garbage
Counts
23 → 81
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))
(sin.f64 y)
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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 (*.f64 x y) (/.f64 z x) x)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))
(*.f64 x y)
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
#s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z)
Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(* y z)
(+ x (* y z))
(* x y)
(* x (cos y))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
x
(* x (+ 1 (/ (* y z) x)))
(/ (* x (cos y)) z)
(* x (+ (/ (cos y) 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 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(+ 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
(* 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))))
(* 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)))))))
(* -1/6 z)
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 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))))))
(/ x z)
(+ y (/ x z))
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
(/ 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))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* 1/120 z)
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(* y (+ z (/ x y)))
(* -1/5040 (* (pow y 7) z))
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/5040 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ (cos y) z)
(* -1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(/ (+ (* x (cos y)) (* z (sin y))) z)
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* 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)))))
(* -1 (* z (+ (* -1 y) (* (pow y 3) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))))
(* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
z
@-inf
((+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (sin y) (/ z x)) (cos y)) x) (+ (* (sin y) (/ z x)) (cos y)) (sin y) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (* x y) (/ z x)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* x y) (+ (* (* (+ (* (* (* (+ (* (* y y) -1/5040) 1/120) z) y) y) (* -1/6 z)) y) (* y y)) (* z y)) (+ (* (* (* (+ (* (* y y) -1/5040) 1/120) z) y) y) (* -1/6 z)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (cos y) (* z (sin y)) (cos y) (* (+ (* (* y y) -1/5040) 1/120) z))
3.0ms
z
@inf
((+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (sin y) (/ z x)) (cos y)) x) (+ (* (sin y) (/ z x)) (cos y)) (sin y) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (* x y) (/ z x)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* x y) (+ (* (* (+ (* (* (* (+ (* (* y y) -1/5040) 1/120) z) y) y) (* -1/6 z)) y) (* y y)) (* z y)) (+ (* (* (* (+ (* (* y y) -1/5040) 1/120) z) y) y) (* -1/6 z)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (cos y) (* z (sin y)) (cos y) (* (+ (* (* y y) -1/5040) 1/120) z))
3.0ms
z
@0
((+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (sin y) (/ z x)) (cos y)) x) (+ (* (sin y) (/ z x)) (cos y)) (sin y) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (* x y) (/ z x)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* x y) (+ (* (* (+ (* (* (* (+ (* (* y y) -1/5040) 1/120) z) y) y) (* -1/6 z)) y) (* y y)) (* z y)) (+ (* (* (* (+ (* (* y y) -1/5040) 1/120) z) y) y) (* -1/6 z)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (cos y) (* z (sin y)) (cos y) (* (+ (* (* y y) -1/5040) 1/120) z))
3.0ms
y
@-inf
((+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (sin y) (/ z x)) (cos y)) x) (+ (* (sin y) (/ z x)) (cos y)) (sin y) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (* x y) (/ z x)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* x y) (+ (* (* (+ (* (* (* (+ (* (* y y) -1/5040) 1/120) z) y) y) (* -1/6 z)) y) (* y y)) (* z y)) (+ (* (* (* (+ (* (* y y) -1/5040) 1/120) z) y) y) (* -1/6 z)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (cos y) (* z (sin y)) (cos y) (* (+ (* (* y y) -1/5040) 1/120) z))
3.0ms
y
@inf
((+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (sin y) (/ z x)) (cos y)) x) (+ (* (sin y) (/ z x)) (cos y)) (sin y) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (+ (* (* x y) (/ z x)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* x y) (+ (* (* (+ (* (* (* (+ (* (* y y) -1/5040) 1/120) z) y) y) (* -1/6 z)) y) (* y y)) (* z y)) (+ (* (* (* (+ (* (* y y) -1/5040) 1/120) z) y) y) (* -1/6 z)) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (cos y) (* z (sin y)) (cos y) (* (+ (* (* y y) -1/5040) 1/120) z))

simplify214.0ms (2.7%)

Memory
23.3MiB live, 166.8MiB allocated; 40ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0251945
1945931
23533881
08168807
Stop Event
iter limit
node limit
Counts
81 → 79
Calls
Call 1
Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(* y z)
(+ x (* y z))
(* x y)
(* x (cos y))
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
x
(* x (+ 1 (/ (* y z) x)))
(/ (* x (cos y)) z)
(* x (+ (/ (cos y) 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 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(+ 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
(* 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))))
(* 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)))))))
(* -1/6 z)
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 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))))))
(/ x z)
(+ y (/ x z))
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
(/ 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))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* 1/120 z)
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(* y (+ z (/ x y)))
(* -1/5040 (* (pow y 7) z))
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/5040 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ (cos y) z)
(* -1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(/ (+ (* x (cos y)) (* z (sin y))) z)
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(* 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)))))
(* -1 (* z (+ (* -1 y) (* (pow y 3) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))))
(* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))
Outputs
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(/ (* z (sin y)) x)
(*.f64 (/.f64 (sin.f64 y) x) z)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(* x y)
(*.f64 x y)
(* x (cos y))
(*.f64 x (cos.f64 y))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.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))
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 (/.f64 (*.f64 z y) x) x x)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) 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
(* 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 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) 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 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)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y) z)
(* -1/6 z)
(*.f64 #s(literal -1/6 binary64) z)
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))
(+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) 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))
(/ x z)
(/.f64 x z)
(+ y (/ x z))
(+.f64 (/.f64 x z) y)
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+.f64 y (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x x) z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))
(/ 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 (pow.f64 y #s(literal 4 binary64)) z) #s(literal -1/720 binary64) (/.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))
(+ 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 (*.f64 #s(literal 1/24 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(* 1/120 z)
(*.f64 #s(literal 1/120 binary64) z)
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z)
(* y (+ z (/ x y)))
(*.f64 (+.f64 (/.f64 x y) z) y)
(* -1/5040 (* (pow y 7) z))
(*.f64 (*.f64 (pow.f64 y #s(literal 7 binary64)) z) #s(literal -1/5040 binary64))
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 7 binary64)))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/120 binary64) y) (/.f64 z y) (*.f64 z (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)))) (pow.f64 y #s(literal 7 binary64)))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(*.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 z (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 z (pow.f64 y #s(literal 6 binary64))))) (pow.f64 y #s(literal 7 binary64)))
(* -1/5040 (* (pow y 4) z))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) z)
(* (pow y 4) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/120 binary64) y) (/.f64 z y) (*.f64 z (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(* -1/5040 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/5040 binary64))
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(*.f64 (*.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) y) y)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) z) y)
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(*.f64 (*.f64 z (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 7 binary64)))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/120 binary64) y) (/.f64 z y) (*.f64 z (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)))) (pow.f64 y #s(literal 7 binary64)))
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))
(*.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 z (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 z (pow.f64 y #s(literal 6 binary64))))) (pow.f64 y #s(literal 7 binary64)))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y) z)
(* z (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) z)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) z)
(* z (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) 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 (cos.f64 y) z) x (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)
(* -1 (* z (+ (* -1 y) (* (pow y 3) (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y) z)
(* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) z)

rewrite265.0ms (3.3%)

Memory
6.5MiB live, 284.7MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055320
085314
1315305
22115296
08681286
Stop Event
iter limit
node limit
iter limit
Counts
23 → 338
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))
(sin.f64 y)
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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 (*.f64 x y) (/.f64 z x) x)
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x))
(*.f64 x y)
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
#s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z)
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(*.f64 x (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (fabs.f64 (sqrt.f64 x)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (fabs.f64 (sqrt.f64 x)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 x) (cos.f64 y)))) (sqrt.f64 (sqrt.f64 x)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 x) (cos.f64 y)))) (sqrt.f64 (sqrt.f64 x)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) (sqrt.f64 (cos.f64 y)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (neg.f64 (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (neg.f64 (*.f64 x (cos.f64 y)))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 x (cos.f64 y)))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (cos.f64 y))) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x (cos.f64 y)))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 x) (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 x) (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) x) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) x) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (pow.f64 (neg.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (pow.f64 (neg.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (*.f64 x (cos.f64 y)))) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 x (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 x (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))
(fma.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))
(/.f64 (*.f64 z (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z (*.f64 z (sin.f64 y)))
(fma.f64 z (*.f64 (/.f64 (cos.f64 y) z) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z))
(fma.f64 z (sin.f64 y) (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)))
(fma.f64 (sin.f64 y) z (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z))
(fma.f64 (sin.f64 y) z (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) z))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (*.f64 (/.f64 (cos.f64 y) z) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))) (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))))
(-.f64 (sin.f64 y) (*.f64 (neg.f64 (/.f64 (cos.f64 y) z)) x))
(-.f64 (sin.f64 y) (*.f64 (neg.f64 x) (/.f64 (cos.f64 y) z)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.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 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 (cos.f64 y))))
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y))))) (sqrt.f64 #s(literal 2 binary64)))
(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 (acos.f64 (fabs.f64 (sin.f64 y))))
(sin.f64 (acos.f64 (neg.f64 (sin.f64 y))))
(sin.f64 (acos.f64 (sin.f64 y)))
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (cos.f64 y)))
(fabs.f64 (cos.f64 y))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y))))
(cos.f64 (asin.f64 (fabs.f64 (sin.f64 y))))
(cos.f64 (asin.f64 (neg.f64 (sin.f64 y))))
(cos.f64 (asin.f64 (sin.f64 y)))
(cos.f64 (neg.f64 (neg.f64 y)))
(cos.f64 (neg.f64 y))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (cos.f64 y)))
(+.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 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y))))
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) y z)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z)
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/14400 binary64)) z)) (neg.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) z)) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/14400 binary64)) z) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) z) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (*.f64 z (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/14400 binary64))) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)))
(/.f64 (*.f64 z (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) z (*.f64 #s(literal 1/120 binary64) z))
(fma.f64 #s(literal 1/120 binary64) z (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) z))
(fma.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) (*.f64 z #s(literal 1/120 binary64)))
(fma.f64 z #s(literal 1/120 binary64) (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))
(+.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) z) (*.f64 #s(literal 1/120 binary64) z))
(+.f64 (*.f64 #s(literal 1/120 binary64) z) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) z))
(+.f64 (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 z #s(literal 1/120 binary64)))
(+.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))

eval128.0ms (1.6%)

Memory
1.7MiB live, 185.0MiB allocated; 25ms collecting garbage
Compiler

Compiled 19 474 to 2 038 computations (89.5% saved)

prune62.0ms (0.8%)

Memory
-15.1MiB live, 131.5MiB allocated; 11ms collecting garbage
Pruning

40 alts after pruning (30 fresh and 10 done)

PrunedKeptTotal
New43512447
Fresh41822
Picked145
Done066
Total44040480
Accuracy
100.0%
Counts
480 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.8%
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) z))
45.6%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
45.5%
(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))
21.9%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))))) (sqrt.f64 (sqrt.f64 (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
54.0%
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
74.8%
(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))
77.6%
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
54.7%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) y z))))
43.6%
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
54.9%
(+.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)))
78.1%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y))))
60.0%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))))
70.9%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))))
47.7%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))))
62.0%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z) x (sin.f64 y)) z))
90.5%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
85.2%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
86.0%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
85.2%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
51.0%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))) z))
61.4%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
40.1%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
46.1%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
46.8%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 x (cos.f64 y)) z)) z))
31.7%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z))
40.4%
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (sin.f64 y)) z))
54.5%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
55.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
55.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x))
38.2%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
37.7%
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
7.1%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (pow.f64 y #s(literal 3 binary64)))))
37.6%
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
30.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
55.9%
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
48.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 (/.f64 z x) x) y x)))
45.2%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
43.0%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
19.5%
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
Compiler

Compiled 2 869 to 1 057 computations (63.2% saved)

regimes151.0ms (1.9%)

Memory
-2.3MiB live, 240.5MiB allocated; 32ms collecting garbage
Counts
65 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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 (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (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) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 (/.f64 z x) x) y x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) y) #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)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) y z))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 z (sin.f64 y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (sin.f64 y)) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
(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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 x (cos.f64 y)) z)) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (pow.f64 y #s(literal 3 binary64)))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (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))))
(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)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(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))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z) x (sin.f64 y)) z))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) z))
(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 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (fabs.f64 z) (sqrt.f64 (sin.f64 y))))) (sqrt.f64 (sqrt.f64 (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y))))
(-.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 (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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (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 (fma.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))) (*.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 (cos.f64 y) x) #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)))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
Calls

4 calls:

60.0ms
x
48.0ms
y
20.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.0ms
z
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)

regimes47.0ms (0.6%)

Memory
45.3MiB live, 187.6MiB allocated; 16ms collecting garbage
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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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 (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (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) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 (/.f64 z x) x) y x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) y) #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)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) y z))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 z (sin.f64 y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (sin.f64 y)) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
(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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 (*.f64 x (cos.f64 y)) z)) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (pow.f64 y #s(literal 3 binary64)))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (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))))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Calls

4 calls:

14.0ms
y
11.0ms
x
11.0ms
z
9.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
80.1%2(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
88.7%3x
81.0%3y
90.1%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes11.0ms (0.1%)

Memory
-13.5MiB live, 33.0MiB allocated; 2ms collecting garbage
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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 (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (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) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 (/.f64 z x) x) y x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) y) #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)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) y z))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 z (sin.f64 y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (sin.f64 y)) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
Outputs
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
Calls

1 calls:

8.0ms
z
Results
AccuracySegmentsBranch
90.1%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (0.2%)

Memory
3.8MiB live, 49.9MiB allocated; 3ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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 (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (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) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 (/.f64 z x) x) y x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) y) #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)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) y z))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 z (sin.f64 y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (sin.f64 y)) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
Calls

2 calls:

9.0ms
z
8.0ms
x
Results
AccuracySegmentsBranch
79.1%3x
81.9%3z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes77.0ms (1%)

Memory
-9.0MiB live, 89.7MiB allocated; 6ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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 (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (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) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 (/.f64 z x) x) y x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) y) #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)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) y z))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 z (sin.f64 y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (sin.f64 y)) z))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
Calls

4 calls:

46.0ms
z
15.0ms
y
8.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
7.0ms
x
Results
AccuracySegmentsBranch
64.4%3x
75.5%3y
57.5%2(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
64.4%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes49.0ms (0.6%)

Memory
21.6MiB live, 67.6MiB allocated; 3ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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 (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (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) (*.f64 (+.f64 (/.f64 x z) y) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 (/.f64 z x) x) y x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) y) #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)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) y (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) y z))))
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) y) (*.f64 y y) (*.f64 z y))))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
Calls

4 calls:

29.0ms
z
6.0ms
x
6.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
6.0ms
y
Results
AccuracySegmentsBranch
55.9%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
55.9%1x
55.9%1z
55.9%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes11.0ms (0.1%)

Memory
-28.2MiB live, 19.1MiB allocated; 1ms collecting garbage
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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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)))
Calls

4 calls:

7.0ms
y
1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
40.1%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
46.8%3x
49.8%3z
40.1%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory
17.0MiB live, 16.9MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
19.5%1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.5%1y
19.5%1x
19.5%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch44.0ms (0.6%)

Memory
-4.2MiB live, 91.5MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
9.422931560977572e-41
3.801486014179853e-34
21.0ms
-1.246498055155743e-57
-4.974381349421918e-64
Samples
25.0ms288×0valid
Compiler

Compiled 561 to 509 computations (9.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 7.0ms (39.3% of total)
ival-sin: 6.0ms (33.7% of total)
ival-mult: 4.0ms (22.5% of total)
ival-add: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.422931560977572e-41
3.801486014179853e-34
1.0ms
-1.246498055155743e-57
-4.974381349421918e-64
Compiler

Compiled 552 to 500 computations (9.4% saved)

bsearch43.0ms (0.5%)

Memory
-13.4MiB live, 77.4MiB allocated; 11ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.0525437088890696e+74
1.5368209324070109e+77
22.0ms
-3.25755606745617e+148
-9.225609719883717e+142
Samples
27.0ms272×0valid
Compiler

Compiled 590 to 507 computations (14.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 9.0ms (45.1% of total)
ival-cos: 6.0ms (30.1% of total)
ival-mult: 4.0ms (20% of total)
ival-add: 1.0ms (5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch49.0ms (0.6%)

Memory
-20.7MiB live, 55.4MiB allocated; 44ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
32.0ms
24485069203624230.0
60411190086267920.0
14.0ms
-9.201815779628915e-6
-6.587918704562404e-15
Samples
37.0ms224×0valid
Compiler

Compiled 474 to 378 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sin: 23.0ms (73% of total)
ival-cos: 4.0ms (12.7% of total)
ival-mult: 3.0ms (9.5% of total)
ival-add: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch55.0ms (0.7%)

Memory
14.3MiB live, 60.8MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.3399208720977756e+154
6.343492342029202e+159
34.0ms
-3.9075157470743896e+132
-1.0344516921806984e+131
Samples
22.0ms256×0valid
Compiler

Compiled 780 to 574 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 5.0ms (32.8% of total)
ival-sin: 5.0ms (32.8% of total)
ival-mult: 3.0ms (19.7% of total)
ival-add: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify98.0ms (1.2%)

Memory
-4.5MiB live, 84.9MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074271
1114271
2168271
3295271
4533271
51031271
62411271
75743271
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(if (<=.f64 z #s(literal -7642277889662869/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 5799238496929023/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -7642277889662869/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 5799238496929023/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -8599999999999999739788544519163017094330082335360146486668588777114765553006047171137258545216024470316662312107645666938795517225956420178390548480 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 33999999999999997100618048935613194513808786231491257536379229826834109562880 binary64)) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -5312662293228351/590295810358705651712 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 25000000000000000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -2799999999999999911279578812380407638676040619721175665427875401504758955946409534569765380766779418772060301076458926339365709807616 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (if (<=.f64 z #s(literal 4299999999999999852229910743025374286144824664577899044937748399773491957481967274881552653588102504561910050557226899646186196015891287770503850859778015232 binary64)) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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 (+ (* 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 -7642277889662869/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 5799238496929023/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x)) (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -7642277889662869/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 5799238496929023/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (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 -7642277889662869/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (not (<=.f64 z #s(literal 5799238496929023/374144419156711147060143317175368453031918731001856 binary64)))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x)))
(if (<=.f64 z #s(literal -8599999999999999739788544519163017094330082335360146486668588777114765553006047171137258545216024470316662312107645666938795517225956420178390548480 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 33999999999999997100618048935613194513808786231491257536379229826834109562880 binary64)) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (or (<=.f64 z #s(literal -8599999999999999739788544519163017094330082335360146486668588777114765553006047171137258545216024470316662312107645666938795517225956420178390548480 binary64)) (not (<=.f64 z #s(literal 33999999999999997100618048935613194513808786231491257536379229826834109562880 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y #s(literal -5312662293228351/590295810358705651712 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 25000000000000000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (or (<=.f64 y #s(literal -5312662293228351/590295810358705651712 binary64)) (not (<=.f64 y #s(literal 25000000000000000 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -2799999999999999911279578812380407638676040619721175665427875401504758955946409534569765380766779418772060301076458926339365709807616 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) (if (<=.f64 z #s(literal 4299999999999999852229910743025374286144824664577899044937748399773491957481967274881552653588102504561910050557226899646186196015891287770503850859778015232 binary64)) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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)))))
(if (or (<=.f64 z #s(literal -2799999999999999911279578812380407638676040619721175665427875401504758955946409534569765380766779418772060301076458926339365709807616 binary64)) (not (<=.f64 z #s(literal 4299999999999999852229910743025374286144824664577899044937748399773491957481967274881552653588102504561910050557226899646186196015891287770503850859778015232 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.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)))

derivations914.0ms (11.5%)

Memory
3.4MiB live, 996.9MiB allocated; 143ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
13919
225119
3260519
0829318
0247715
1915686
23438659
37477659
09144601
03761516
113891455
253321436
086221314
093248
1361244
21343238
34829236
08461209
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 271 to 78 computations (71.2% saved)

preprocess93.0ms (1.2%)

Memory
16.9MiB live, 202.1MiB allocated; 57ms collecting garbage
Compiler

Compiled 560 to 172 computations (69.3% saved)

end0.0ms (0%)

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

Profiling

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