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

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (17.5%)

Memory
10.2MiB live, 1 320.0MiB allocated
Samples
968.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 707.0ms
ival-sin: 256.0ms (36.2% of total)
ival-mult: 217.0ms (30.7% of total)
ival-cos: 186.0ms (26.3% of total)
ival-add: 38.0ms (5.4% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain157.0ms (2.1%)

Memory
-5.9MiB live, 149.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
00-0-(sin.f64 y)
00-0-(*.f64 z (cos.f64 y))
00-0-y
00-0-z
00-0-(*.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
69.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-cos: 11.0ms (30.5% of total)
ival-mult: 11.0ms (30.5% of total)
ival-sin: 11.0ms (30.5% of total)
ival-add: 2.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess158.0ms (2.2%)

Memory
15.0MiB live, 212.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03584
19281
218881
333081
463281
5145081
6359681
7669081
089
0139
1269
2479
3959
41889
54509
611499
726039
852939
082348
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify248.0ms (3.4%)

Memory
-15.5MiB live, 140.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12624
24724
39524
418824
545024
6114924
7260324
8529324
0823423
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
z
(cos.f64 y)

localize106.0ms (1.5%)

Memory
5.3MiB live, 43.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy0.00390625
(sin.f64 y)
accuracy0.11328125
(*.f64 z (cos.f64 y))
accuracy0.1484375
(*.f64 x (sin.f64 y))
Samples
24.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (37.9% of total)
ival-cos: 5.0ms (31.6% of total)
ival-mult: 3.0ms (19% of total)
ival-add: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
4 → 23
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(sin y)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
Calls

9 calls:

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

simplify482.0ms (6.6%)

Memory
-29.4MiB live, 95.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096246
1383242
21408232
33772230
47418230
08306203
Stop Event
iter limit
node limit
Counts
23 → 21
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(sin y)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
Outputs
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) x) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 (*.f64 y y) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z)
(sin y)
(sin.f64 y)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))

rewrite226.0ms (3.1%)

Memory
-5.2MiB live, 160.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
13919
225119
3262919
0833318
Stop Event
iter limit
node limit
iter limit
Counts
4 → 242
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64))))
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (/.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) (*.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
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(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 y) z) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 y) x) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cos.f64 y) z) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 y) z (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 (*.f64 (sin.f64 y) x) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))))
(fma.f64 (sin.f64 y) (/.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))))
(fma.f64 (sin.f64 y) x (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(fma.f64 (sin.f64 y) x (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 z)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))))
(fma.f64 x (sin.f64 y) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(fma.f64 x (sin.f64 y) (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 z)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))))
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 x) (sin.f64 y)))
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 z)))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (fabs.f64 (fabs.f64 (sin.f64 y))) (fabs.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y)))) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (sqrt.f64 (*.f64 (neg.f64 x) (sin.f64 y))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))))
(fabs.f64 (*.f64 (neg.f64 x) (sin.f64 y)))
(fabs.f64 (*.f64 (sin.f64 y) x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (sin.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (sin.f64 y) x))))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
(sin.f64 (+.f64 (+.f64 y (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 y) (PI.f64)))
(sin.f64 y)
(cos.f64 (+.f64 (+.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (fabs.f64 (cos.f64 y))) (fabs.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (neg.f64 z))) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (cos.f64 y))) (sqrt.f64 (*.f64 (neg.f64 z) (cos.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (cos.f64 y) (*.f64 (neg.f64 z) (cos.f64 y)))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (cos.f64 y)))))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (*.f64 (cos.f64 y) z) z)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 z))
(*.f64 (fabs.f64 z) (fabs.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (neg.f64 z) (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 z) (cos.f64 y)))
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(fma.f64 z (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 z (*.f64 #s(literal 1 binary64) (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) (cos.f64 y)))
(fabs.f64 (*.f64 (cos.f64 y) z))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) z))) (sinh.f64 (log.f64 (*.f64 (cos.f64 y) z))))
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) z) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(+.f64 (*.f64 z (*.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 z (*.f64 #s(literal 1 binary64) (cos.f64 y))))

eval52.0ms (0.7%)

Memory
20.6MiB live, 55.9MiB allocated
Compiler

Compiled 6 821 to 650 computations (90.5% saved)

prune13.0ms (0.2%)

Memory
-1.7MiB live, 35.2MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New24712259
Fresh000
Picked101
Done000
Total24812260
Accuracy
99.9%
Counts
260 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.1%
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
39.6%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
35.8%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
60.3%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
51.5%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
60.1%
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
49.4%
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
52.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
52.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
53.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
60.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Compiler

Compiled 540 to 308 computations (43% saved)

simplify145.0ms (2%)

Memory
14.5MiB live, 165.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(sqrt.f64 (*.f64 (sin.f64 y) x))
cost-diff7
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
cost-diff0
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff1
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
cost-diff0
(fma.f64 y x z)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) z)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032202
055193
1103193
2223193
3565193
41482193
53817193
65812193
08025192
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
y
x
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
#s(literal -1/6 binary64)
(*.f64 y x)
y
x
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
z
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
(fma.f64 y x z)
(fma.f64 x y z)
y
x
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
(fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))
#s(literal -1/6 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(fma.f64 x (sin.f64 y) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
z
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
z

localize171.0ms (2.3%)

Memory
-29.8MiB live, 199.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(*.f64 (cos.f64 y) z)
accuracy0.08203125
(*.f64 (sin.f64 y) x)
accuracy0.11166000976844201
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
accuracy3.4174081167987294
(sqrt.f64 (*.f64 (sin.f64 y) x))
accuracy0.0
(sin.f64 y)
accuracy0.08203125
(*.f64 x (sin.f64 y))
accuracy2.6105530225835683
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
accuracy17.420024425728712
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
accuracy0.01171875
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
accuracy0.0234375
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
accuracy0.11328125
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
accuracy17.480226422217815
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
accuracy0.0
(fma.f64 y x z)
accuracy17.26473807268142
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy0.0
(sin.f64 y)
accuracy0.0
(cos.f64 y)
accuracy0.0390625
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy0.0546875
(*.f64 (cos.f64 y) z)
Samples
97.0ms140×0valid
41.0ms116×0invalid
Compiler

Compiled 177 to 32 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 68.0ms (69.7% of total)
ival-add: 12.0ms (12.3% of total)
ival-sin: 6.0ms (6.1% of total)
ival-cos: 5.0ms (5.1% of total)
const: 4.0ms (4.1% of total)
ival-sqrt: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory
7.3MiB live, 45.7MiB allocated
Counts
17 → 87
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(*.f64 x (sin.f64 y))
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
z
(+ z (* x y))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(* -1/2 z)
(+ (* -1/2 z) (* -1/6 (* x y)))
(* x (sin y))
(sqrt (* x (sin y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(* -1/6 (* x y))
(* x (+ (* -1/2 (/ z x)) (* -1/6 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(sqrt (* x y))
(+ (sqrt (* x y)) (* -1/12 (sqrt (* x (pow y 5)))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* 1/240 (sqrt (* x (pow y 3)))))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ x y))) (* 1/240 (sqrt (/ x y))))))))
(sin y)
(cos y)
(* y (+ x (/ z y)))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* y (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
y
@inf
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (sqrt (* (sin y) x)) (* (sin y) x) (* (+ (* (* -1/2 y) y) 1) z))
4.0ms
z
@0
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (sqrt (* (sin y) x)) (* (sin y) x) (* (+ (* (* -1/2 y) y) 1) z))
3.0ms
x
@-inf
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (sqrt (* (sin y) x)) (* (sin y) x) (* (+ (* (* -1/2 y) y) 1) z))
3.0ms
x
@inf
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (sqrt (* (sin y) x)) (* (sin y) x) (* (+ (* (* -1/2 y) y) 1) z))
2.0ms
z
@-inf
((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (sqrt (* (sin y) x)) (* (sin y) x) (* (+ (* (* -1/2 y) y) 1) z))

simplify213.0ms (2.9%)

Memory
3.2MiB live, 186.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02961066
111001016
242431003
08371911
Stop Event
iter limit
node limit
Counts
87 → 84
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
z
(+ z (* x y))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(* -1/2 z)
(+ (* -1/2 z) (* -1/6 (* x y)))
(* x (sin y))
(sqrt (* x (sin y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(* -1/6 (* x y))
(* x (+ (* -1/2 (/ z x)) (* -1/6 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(sqrt (* x y))
(+ (sqrt (* x y)) (* -1/12 (sqrt (* x (pow y 5)))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* 1/240 (sqrt (* x (pow y 3)))))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ x y))) (* 1/240 (sqrt (/ x y))))))))
(sin y)
(cos y)
(* y (+ x (/ z y)))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* y (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
Outputs
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(+ (* -1/2 z) (* -1/6 (* x y)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(sqrt (* x (sin y)))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(* -1/6 (* x y))
(*.f64 #s(literal -1/6 binary64) (*.f64 x y))
(* x (+ (* -1/2 (/ z x)) (* -1/6 y)))
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (neg.f64 x) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal -1 binary64)) z) x)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z x) y) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) x)
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64))
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
x
(+ x (* -1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x)
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x y))
(sqrt (* x y))
(sqrt.f64 (*.f64 x y))
(+ (sqrt (* x y)) (* -1/12 (sqrt (* x (pow y 5)))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x)) #s(literal -1/12 binary64) (sqrt.f64 (*.f64 x y)))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* 1/240 (sqrt (* x (pow y 3)))))))
(fma.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 x y)))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ x y))) (* 1/240 (sqrt (/ x y))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 x y))) #s(literal 1/1440 binary64) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 x y)))
(sin y)
(sin.f64 y)
(cos y)
(cos.f64 y)
(* y (+ x (/ z y)))
(*.f64 (+.f64 (/.f64 z y) x) y)
(* -1/6 (* x (pow y 3)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/6 binary64))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) x) y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(*.f64 (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y) y)
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y))
(* y (+ (* -1/2 (/ z y)) (* -1/6 x)))
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y)
(* -1/2 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (/.f64 z y) y)) y) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (+.f64 (/.f64 z y) x) y)
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) x) y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) (*.f64 y y))
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) y)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x)
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (*.f64 z x) (/.f64 y z) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(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) x) z)) z z)
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z)) z)
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z)) z)
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)

rewrite211.0ms (2.9%)

Memory
-14.2MiB live, 309.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032158
055149
1214149
21347149
08245148
Stop Event
iter limit
node limit
iter limit
Counts
17 → 574
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(fma.f64 y x z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(*.f64 x (sin.f64 y))
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (+.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y)))) (fma.f64 z (cos.f64 y) (*.f64 (neg.f64 x) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (neg.f64 (sin.f64 y)) x))) (fma.f64 z (cos.f64 y) (*.f64 (neg.f64 (sin.f64 y)) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 y)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)))) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)))) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y)))) (sqrt.f64 x) (*.f64 z (cos.f64 y)))
(fma.f64 (fabs.f64 (sin.f64 y)) x (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))
(fma.f64 (fabs.f64 (sin.f64 y)) x (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(fma.f64 (fabs.f64 (sin.f64 y)) x (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(fma.f64 (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
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(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) x (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) x (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) x (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x (sin.f64 y)) (sin.f64 y))) (sqrt.f64 x) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y)))
(fma.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3/2 binary64))) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z))
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 #s(literal 1 binary64) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) (*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (-.f64 (*.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64))) (*.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) (*.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) z)) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) z)) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) z) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) z) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))))
(/.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64)))
(/.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z (*.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z))
(fma.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (*.f64 z #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z))
(+.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))

eval138.0ms (1.9%)

Memory
33.2MiB live, 154.1MiB allocated
Compiler

Compiled 22 865 to 2 042 computations (91.1% saved)

prune29.0ms (0.4%)

Memory
2.5MiB live, 74.8MiB allocated
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New58620606
Fresh437
Picked325
Done000
Total59325618
Accuracy
99.9%
Counts
618 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.1%
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
39.6%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
48.4%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
76.7%
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
29.9%
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
38.7%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
52.2%
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
49.4%
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
88.7%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
41.7%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
94.7%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
60.3%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z))
50.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)) y x) y z))
52.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z))
37.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z))
36.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
36.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
53.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
29.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
36.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)))
47.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
46.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
51.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
19.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
Compiler

Compiled 1 330 to 795 computations (40.2% saved)

simplify186.0ms (2.5%)

Memory
-16.5MiB live, 188.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
050341
080334
1148334
2356329
31131329
44102313
57644313
08019290
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))
(fma.f64 (*.f64 z x) (/.f64 y z) z)
(*.f64 z x)
z
x
(/.f64 y z)
y
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
#s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
z
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
z
(sin.f64 y)
Outputs
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(approx (+ (* y x) z) (fma.f64 x y z)))
#s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))
#s(approx (+ (* y x) z) (fma.f64 x y z))
(fma.f64 (*.f64 z x) (/.f64 y z) z)
(fma.f64 x y z)
(*.f64 z x)
z
x
(/.f64 y z)
y
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(+.f64 #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) #s(approx (* x (sin y)) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y))))
#s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))
#s(approx (* x (sin y)) (*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
(*.f64 x (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y))
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
z
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
z
(sin.f64 y)

localize146.0ms (2%)

Memory
22.9MiB live, 217.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
accuracy0.0625
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
accuracy0.0859375
(/.f64 (cos.f64 y) x)
accuracy3.1158815163889657
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
accuracy2.6105530225835683
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
accuracy4.434727291924057
(*.f64 (*.f64 y y) x)
accuracy17.420024425728712
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
accuracy17.426418784220584
#s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))
accuracy0.0
(*.f64 z x)
accuracy0.0
#s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))
accuracy6.96251393286187
(fma.f64 (*.f64 z x) (/.f64 y z) z)
accuracy17.26473807268142
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
accuracy0.0
(*.f64 x y)
accuracy14.616874669586881
#s(approx (+ (* y x) z) (*.f64 x y))
accuracy17.26473807268142
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
accuracy0.0
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
accuracy0.0625
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
accuracy0.078125
(/.f64 (sin.f64 y) z)
accuracy2.375344137454962
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
Samples
70.0ms140×0valid
49.0ms116×0invalid
Compiler

Compiled 241 to 47 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 43.0ms (43.8% of total)
ival-div: 23.0ms (23.4% of total)
ival-add: 11.0ms (11.2% of total)
ival-sin: 7.0ms (7.1% of total)
const: 7.0ms (7.1% of total)
ival-cos: 5.0ms (5.1% of total)
ival-sqrt: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory
-12.7MiB live, 63.3MiB allocated
Counts
22 → 74
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/.f64 (sin.f64 y) z)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 x y)
(fma.f64 (*.f64 z x) (/.f64 y z) z)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))
(*.f64 z x)
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
#s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(/.f64 (cos.f64 y) x)
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(*.f64 (*.f64 y y) x)
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
z
(+ z (* x y))
(* x y)
(* x z)
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (sin y))
(/ (* z (cos y)) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/ (cos y) x)
(* x (pow y 2))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ y (/ z x)))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(/ z x)
(+ y (/ z x))
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))
(/ 1 x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (sin y) z)
(* y (+ x (/ z y)))
(* 1/120 (* x (pow y 5)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (/ (* x y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
y
@-inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (* z x) (/ y z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z x) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (* z (cos y)) (* (* y y) x) (* (+ (* (* -1/2 y) y) 1) z))
7.0ms
x
@0
((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (* z x) (/ y z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z x) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (* z (cos y)) (* (* y y) x) (* (+ (* (* -1/2 y) y) 1) z))
5.0ms
x
@-inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (* z x) (/ y z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z x) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (* z (cos y)) (* (* y y) x) (* (+ (* (* -1/2 y) y) 1) z))
4.0ms
y
@inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (* z x) (/ y z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z x) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (* z (cos y)) (* (* y y) x) (* (+ (* (* -1/2 y) y) 1) z))
4.0ms
x
@inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* (* z x) (/ y z)) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* z x) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (* z (cos y)) (* (* y y) x) (* (+ (* (* -1/2 y) y) 1) z))

simplify196.0ms (2.7%)

Memory
15.2MiB live, 179.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0234770
1865758
23177724
37271720
08487655
Stop Event
iter limit
node limit
Counts
74 → 73
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
z
(+ z (* x y))
(* x y)
(* x z)
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (sin y))
(/ (* z (cos y)) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/ (cos y) x)
(* x (pow y 2))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ y (/ z x)))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(/ z x)
(+ y (/ z x))
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))
(/ 1 x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (sin y) z)
(* y (+ x (/ z y)))
(* 1/120 (* x (pow y 5)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (/ (* x y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
Outputs
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 (/.f64 x z) (sin.f64 y) (cos.f64 y))
z
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* x z)
(*.f64 x z)
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (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) x)
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(/ (* x (sin y)) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64))))
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
1
#s(literal 1 binary64)
(+ 1 (/ (* x y) z))
(fma.f64 (/.f64 y z) x #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))
(/ y z)
(/.f64 y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) y y) z)
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (/.f64 y z))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.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) (/.f64 y z))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y y) x) y)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 x y))
(/ z x)
(/.f64 z x)
(+ y (/ z x))
(+.f64 (/.f64 z x) y)
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z) x) y)
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 z x))) y #s(literal 1 binary64)) y (/.f64 z x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) x)
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(* y (+ x (/ z y)))
(*.f64 (+.f64 (/.f64 z y) x) y)
(* 1/120 (* x (pow y 5)))
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/120 binary64))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(* 1/120 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (*.f64 y y))
(* -1/2 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (/.f64 z y) y)) y) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (+.f64 (/.f64 z y) x) y)
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (*.f64 (neg.f64 y) x) z) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))

rewrite255.0ms (3.5%)

Memory
-11.7MiB live, 189.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050282
080275
1287275
21919275
08332267
Stop Event
iter limit
node limit
iter limit
Counts
22 → 266
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/.f64 (sin.f64 y) z)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 x y)
(fma.f64 (*.f64 z x) (/.f64 y z) z)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z))
(*.f64 z x)
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
#s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(/.f64 (cos.f64 y) x)
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(*.f64 (*.f64 y y) x)
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
Outputs
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (cos.f64 y) z (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 z (*.f64 x (/.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 z (cos.f64 y) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(+.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))) (*.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) z) (cos.f64 y))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 (sin.f64 y))) (*.f64 (/.f64 (cos.f64 y) x) z))
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (/.f64 (cos.f64 y) x) z))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))
(-.f64 (sin.f64 y) (*.f64 (neg.f64 (/.f64 (cos.f64 y) x)) z))
(-.f64 (sin.f64 y) (*.f64 (neg.f64 z) (/.f64 (cos.f64 y) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #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) x) z)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))
(/.f64 (cos.f64 y) x)
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) x))
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 x)))
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 x y) y)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(*.f64 z (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) z) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) z) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))))
(/.f64 (*.f64 z (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64)))
(/.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z (*.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z))
(fma.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (*.f64 z #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z))
(+.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))

eval53.0ms (0.7%)

Memory
-2.2MiB live, 70.7MiB allocated
Compiler

Compiled 13 947 to 1 425 computations (89.8% saved)

prune41.0ms (0.6%)

Memory
7.9MiB live, 46.7MiB allocated
Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New31110321
Fresh51318
Picked145
Done022
Total31729346
Accuracy
100.0%
Counts
346 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
76.7%
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
29.9%
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
38.7%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
52.2%
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
49.4%
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
63.3%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))
88.7%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
88.7%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
41.7%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
30.9%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
46.3%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x))
77.6%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
94.7%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
60.3%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z))
51.2%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
36.6%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
37.9%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
52.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z))
37.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z))
36.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
36.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
53.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
29.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
36.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)))
47.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
19.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
13.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))))
Compiler

Compiled 1 486 to 883 computations (40.6% saved)

simplify160.0ms (2.2%)

Memory
-23.0MiB live, 137.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
058462
084445
1151430
2348430
3913430
42083428
53580428
66528428
08048416
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y))
(cos.f64 y)
y
(/.f64 z x)
z
x
(sin.f64 y)
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
z
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x))
(*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y))
(+.f64 (/.f64 z x) y)
(/.f64 z x)
z
x
y
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
#s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y))
(*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)
(fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x)
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
x
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
z
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z))
(/.f64 (*.f64 (sin.f64 y) x) z)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
z
Outputs
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(cos.f64 y)
y
(/.f64 z x)
z
x
(sin.f64 y)
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
#s(literal 1 binary64)
z
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x))
(*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y))
(+.f64 (/.f64 z x) y)
(/.f64 z x)
z
x
y
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(+.f64 #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)) #s(approx (* x (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x y))))
#s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y))
#s(approx (* x (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x y)))
(*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (*.f64 x y))
(fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x)
(fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) (*.f64 y y) x)
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x))
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
x
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
z
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z))
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x))
(/.f64 (*.f64 (sin.f64 y) x) z)
(*.f64 (/.f64 (sin.f64 y) z) x)
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
z

localize173.0ms (2.4%)

Memory
27.4MiB live, 149.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(*.f64 (sin.f64 y) x)
accuracy2.025981060004422
(/.f64 (*.f64 (sin.f64 y) x) z)
accuracy2.375344137454962
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)
accuracy18.35315904662732
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z))
accuracy2.6105530225835683
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
accuracy2.6282033634743867
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)
accuracy17.420024425728712
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
accuracy17.426418784220584
#s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y))
accuracy0.0
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x))
accuracy0.01171875
(+.f64 (/.f64 z x) y)
accuracy3.1158815163889657
(*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)
accuracy16.53782969443218
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y))
accuracy0.0
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
accuracy2.375344137454962
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
accuracy23.44068285182551
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
accuracy0.0
(cos.f64 y)
accuracy0.0
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
accuracy0.0546875
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y))
accuracy3.1158815163889657
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)
Samples
81.0ms116×0invalid
68.0ms140×0valid
Compiler

Compiled 279 to 49 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 35.0ms (35% of total)
const: 32.0ms (32% of total)
ival-add: 11.0ms (11% of total)
ival-div: 7.0ms (7% of total)
ival-sin: 7.0ms (7% of total)
ival-cos: 5.0ms (5% of total)
ival-sqrt: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series54.0ms (0.7%)

Memory
2.4MiB live, 41.2MiB allocated
Counts
23 → 76
Calls
Call 1
Inputs
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y))
(cos.f64 y)
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x))
(*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y))
(+.f64 (/.f64 z x) y)
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
#s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y))
(*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)
(fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x)
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z))
(/.f64 (*.f64 (sin.f64 y) x) z)
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(*.f64 (sin.f64 y) x)
Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(/ (* z (cos y)) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(/ z x)
(/ (+ z (* x y)) x)
(* x (sin y))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(/ (* x (sin y)) z)
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
y
(+ y (/ z x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z 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)))
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(/ (* x y) z)
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* y (+ 1 (/ z (* x y))))
(* 1/120 (* x (pow y 5)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -1 (* y (- (* -1 (/ z (* x y))) 1)))
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ 1 x) (/ y z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* z (- (* -1 (/ y z)) (/ 1 x))))
Calls

9 calls:

TimeVariablePointExpression
31.0ms
x
@inf
((* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (+ (/ z x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (* (sin y) x) z) (* z (cos y)) (* (+ (* 1/120 (* y y)) -1/6) x) (* (+ (* (* -1/2 y) y) 1) z) (* (sin y) x))
4.0ms
x
@-inf
((* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (+ (/ z x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (* (sin y) x) z) (* z (cos y)) (* (+ (* 1/120 (* y y)) -1/6) x) (* (+ (* (* -1/2 y) y) 1) z) (* (sin y) x))
3.0ms
x
@0
((* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (+ (/ z x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (* (sin y) x) z) (* z (cos y)) (* (+ (* 1/120 (* y y)) -1/6) x) (* (+ (* (* -1/2 y) y) 1) z) (* (sin y) x))
3.0ms
z
@-inf
((* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (+ (/ z x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (* (sin y) x) z) (* z (cos y)) (* (+ (* 1/120 (* y y)) -1/6) x) (* (+ (* (* -1/2 y) y) 1) z) (* (sin y) x))
3.0ms
y
@inf
((* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (+ (/ z x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (* (sin y) x) z) (* z (cos y)) (* (+ (* 1/120 (* y y)) -1/6) x) (* (+ (* (* -1/2 y) y) 1) z) (* (sin y) x))

simplify179.0ms (2.4%)

Memory
-0.3MiB live, 157.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227843
1836833
23088789
37282785
08020719
Stop Event
iter limit
node limit
Counts
76 → 73
Calls
Call 1
Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(/ (* z (cos y)) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(/ z x)
(/ (+ z (* x y)) x)
(* x (sin y))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(/ (* x (sin y)) z)
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
y
(+ y (/ z x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z 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)))
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(/ (* x y) z)
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* y (+ 1 (/ z (* x y))))
(* 1/120 (* x (pow y 5)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -1 (* y (- (* -1 (/ z (* x y))) 1)))
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ 1 x) (/ y z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* z (- (* -1 (/ y z)) (/ 1 x))))
Outputs
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(/ (* z (cos y)) x)
(*.f64 (/.f64 (cos.f64 y) x) z)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(/ z x)
(/.f64 z x)
(/ (+ z (* x y)) x)
(+.f64 (/.f64 z x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)
(/ (* x (sin y)) z)
(*.f64 (/.f64 (sin.f64 y) z) x)
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
y
(+ y (/ z x))
(+.f64 (/.f64 z x) y)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))
(*.f64 (*.f64 (neg.f64 x) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) #s(literal 1 binary64))))
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) #s(literal 1 binary64))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z)
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) x)
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z x) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 z x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (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 (/ (* x y) z))
(fma.f64 (/.f64 y z) x #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) x)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 x y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y)
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) x) z)
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) z) y)
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* y (+ 1 (/ z (* x y))))
(fma.f64 (/.f64 y x) (/.f64 z y) y)
(* 1/120 (* x (pow y 5)))
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/120 binary64))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(* 1/120 (* x (pow y 4)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (*.f64 y y))
(* -1/2 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 z (*.f64 y y))) y) y)
(* -1 (* y (- (* -1 (/ z (* x y))) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64)))
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(* z (+ (/ 1 x) (/ y z)))
(+.f64 (/.f64 z x) y)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(* -1 (* z (- (* -1 (/ y z)) (/ 1 x))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x)))

rewrite205.0ms (2.8%)

Memory
-9.7MiB live, 227.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058396
084379
1291367
21928367
08705357
Stop Event
iter limit
node limit
iter limit
Counts
23 → 275
Calls
Call 1
Inputs
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y))
(cos.f64 y)
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x))
(*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x)
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y))
(+.f64 (/.f64 z x) y)
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
#s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y))
(*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)
(fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x)
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
(*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z)
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z))
(/.f64 (*.f64 (sin.f64 y) x) z)
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(*.f64 (sin.f64 y) x)
Outputs
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(*.f64 x (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))
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(/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y))))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) (fabs.f64 (*.f64 x y)) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 (fabs.f64 (*.f64 (*.f64 x y) y)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 x y) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 y y) (fabs.f64 (*.f64 #s(literal 1/120 binary64) x)) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 #s(literal -1/6 binary64) x (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y)))
(fma.f64 #s(literal 1/120 binary64) (fabs.f64 (*.f64 (*.f64 x y) y)) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y)))
(fma.f64 y (fabs.f64 (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 1/120 binary64) x))) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 y (fabs.f64 (*.f64 (*.f64 x y) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x)) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 y (*.f64 (*.f64 x y) #s(literal 1/120 binary64)) (*.f64 #s(literal -1/6 binary64) x))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x))))
(-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (neg.f64 (*.f64 y y)) (*.f64 #s(literal 1/120 binary64) x)))
(-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x y) y)))
(-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (neg.f64 (*.f64 (*.f64 x y) y)) #s(literal 1/120 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y)) (*.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y)))))) (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y)))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y)))
(+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)
(*.f64 z (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) z) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) z) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))))
(/.f64 (*.f64 z (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) #s(literal 1 binary64)))
(/.f64 (*.f64 z (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z (*.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z))
(fma.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (*.f64 z #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (*.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z))
(+.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)) (*.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) y)))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) x) x) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y))) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sin.f64 y)) x)
(*.f64 (neg.f64 x) (sin.f64 y))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x))))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 y)) (fabs.f64 (sqrt.f64 (*.f64 x (*.f64 (sin.f64 y) x)))))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 x (*.f64 (sin.f64 y) x))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sin.f64 y) (neg.f64 x))
(*.f64 (sin.f64 y) x)
(*.f64 x (neg.f64 (sin.f64 y)))
(*.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))
(neg.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (sin.f64 y) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (sin.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (sin.f64 y) x))))

eval80.0ms (1.1%)

Memory
-2.4MiB live, 74.4MiB allocated
Compiler

Compiled 16 457 to 1 617 computations (90.2% saved)

prune84.0ms (1.1%)

Memory
7.4MiB live, 67.0MiB allocated
Pruning

32 alts after pruning (25 fresh and 7 done)

PrunedKeptTotal
New3259334
Fresh21618
Picked235
Done246
Total33132363
Accuracy
100.0%
Counts
363 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
76.7%
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
29.9%
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
38.7%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
18.6%
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) #s(approx (* (+ (* (* -1/2 y) y) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))))
49.4%
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
63.3%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))
88.7%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
41.7%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
36.6%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z))
15.1%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 z x))) x))
23.8%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))) x))
30.9%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
46.3%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x))
35.2%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(approx (+ (/ z x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) x))
49.1%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x))
60.3%
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (* (+ (* (cos y) (/ z x)) (sin y)) x) (*.f64 (cos.f64 y) z)))
77.6%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
13.0%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y))) z))
17.1%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 y z) x))) z))
37.9%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
52.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z))
37.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z))
36.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
36.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
53.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
29.8%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
36.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)))
47.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
19.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
13.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))))
Compiler

Compiled 2 474 to 860 computations (65.2% saved)

regimes80.0ms (1.1%)

Memory
5.6MiB live, 116.6MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 y z) x))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)) y x) y z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(approx (+ (/ z x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 z x))) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) #s(approx (* (+ (* (* -1/2 y) y) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (* (+ (* (cos y) (/ z x)) (sin y)) x) (*.f64 (cos.f64 y) z)))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z))
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Calls

4 calls:

32.0ms
y
15.0ms
z
13.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
13.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes62.0ms (0.9%)

Memory
-24.5MiB live, 97.6MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 y z) x))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)) y x) y z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(approx (+ (/ z x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 z x))) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) #s(approx (* (+ (* (* -1/2 y) y) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (* (+ (* (cos y) (/ z x)) (sin y)) x) (*.f64 (cos.f64 y) z)))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z))
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

4 calls:

27.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
13.0ms
y
11.0ms
x
10.0ms
z
Results
AccuracySegmentsBranch
86.9%3x
82.4%3y
87.5%3z
79.7%2(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes41.0ms (0.6%)

Memory
6.4MiB live, 91.9MiB allocated
Counts
31 → 5
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 y z) x))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)) y x) y z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(approx (+ (/ z x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 z x))) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) #s(approx (* (+ (* (* -1/2 y) y) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (* (+ (* (cos y) (/ z x)) (sin y)) x) (*.f64 (cos.f64 y) z)))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

4 calls:

11.0ms
y
11.0ms
x
8.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
8.0ms
z
Results
AccuracySegmentsBranch
69.5%5(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
82.1%5y
75.7%3x
74.9%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.2%)

Memory
-11.0MiB live, 27.1MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 y z) x))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)) y x) y z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(approx (+ (/ z x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 z x))) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) #s(approx (* (+ (* (* -1/2 y) y) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (* (+ (* (cos y) (/ z x)) (sin y)) x) (*.f64 (cos.f64 y) z)))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

1 calls:

10.0ms
y
Results
AccuracySegmentsBranch
76.7%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (0.5%)

Memory
32.6MiB live, 107.9MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fabs.f64 (*.f64 x y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 y z) x))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(approx (/ (* (sin y) x) z) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)) y x) y z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(approx (+ (/ z x) y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1 binary64))))) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))) x))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 z x))) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) #s(approx (* (+ (* (* -1/2 y) y) 1) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) (+.f64 x (*.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z))) y))) y z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
Calls

4 calls:

9.0ms
z
9.0ms
x
7.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
7.0ms
y
Results
AccuracySegmentsBranch
53.3%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
53.3%1z
53.3%1x
53.3%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes38.0ms (0.5%)

Memory
-32.3MiB live, 14.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
Outputs
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
Calls

4 calls:

33.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
43.5%3x
44.5%3z
37.9%1y
37.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
19.2%1y
19.2%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
19.2%1x
19.2%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch43.0ms (0.6%)

Memory
-6.1MiB live, 70.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
3.1921159703273155e+119
1.3776203346234314e+124
22.0ms
-4.454487703832081e+80
-1.3547127696279682e+79
Samples
24.0ms240×0valid
Compiler

Compiled 372 to 344 computations (7.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (33.2% of total)
ival-sin: 6.0ms (33.2% of total)
ival-cos: 5.0ms (27.7% of total)
ival-add: 1.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch86.0ms (1.2%)

Memory
19.3MiB live, 141.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
2.975828879065242e+119
1.2962807809887523e+122
14.0ms
2.205290139321469e-20
2.5104263531807043e-12
20.0ms
-2438039065847.5747
-59770816692.62278
26.0ms
-2.9628057405518086e+104
-3.7238156296028835e+93
Samples
60.0ms544×0valid
Compiler

Compiled 1 282 to 930 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sin: 18.0ms (40.5% of total)
ival-cos: 17.0ms (38.3% of total)
ival-mult: 7.0ms (15.8% of total)
ival-add: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch49.0ms (0.7%)

Memory
-25.5MiB live, 94.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
511.14254393838587
58058764981.607124
22.0ms
-59770816692.62278
-2.345785170491123e-7
Samples
33.0ms304×0valid
Compiler

Compiled 1 152 to 831 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-sin: 11.0ms (44.1% of total)
ival-cos: 9.0ms (36.1% of total)
ival-mult: 4.0ms (16% of total)
ival-add: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch55.0ms (0.7%)

Memory
-1.1MiB live, 76.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
2.7734616215813933e-207
5.337967584112673e-200
21.0ms
-1.1703160715920288e-56
-1.0444597156036749e-66
Samples
27.0ms304×0valid
Compiler

Compiled 810 to 584 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 7.0ms (36.4% of total)
ival-cos: 6.0ms (31.2% of total)
ival-mult: 4.0ms (20.8% of total)
ival-add: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify58.0ms (0.8%)

Memory
22.9MiB live, 61.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092285
1145285
2260283
3586283
41132283
51826283
63364283
77408283
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(if (<=.f64 z #s(literal -230000000000000004010413626400139237207951560854403072884269625663618117544181760 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 74999999999999996493448837063252515965692106077949565667154257865061947826666919946301691042325225920341971667220802043904 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -300000000000000014484211794056620768648133791035952974905474021993132769424173480518925525601746944 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -60000000000 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 6189700196426901/2475880078570760549798248448 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) (if (<=.f64 y #s(literal 31000000000000000813544153763014931388496020543611602061701215896929647189443315106235270038132770676159654024441942245376 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 y #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 520 binary64)) (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 z #s(literal -4742843975160471/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 3033608744706093/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(if (<=.f64 z #s(literal -230000000000000004010413626400139237207951560854403072884269625663618117544181760 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 74999999999999996493448837063252515965692106077949565667154257865061947826666919946301691042325225920341971667220802043904 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 z #s(literal -230000000000000004010413626400139237207951560854403072884269625663618117544181760 binary64)) (not (<=.f64 z #s(literal 74999999999999996493448837063252515965692106077949565667154257865061947826666919946301691042325225920341971667220802043904 binary64)))) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (cos.f64 y) z)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))
(if (<=.f64 y #s(literal -300000000000000014484211794056620768648133791035952974905474021993132769424173480518925525601746944 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -60000000000 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 6189700196426901/2475880078570760549798248448 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) (if (<=.f64 y #s(literal 31000000000000000813544153763014931388496020543611602061701215896929647189443315106235270038132770676159654024441942245376 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 y #s(literal -300000000000000014484211794056620768648133791035952974905474021993132769424173480518925525601746944 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -60000000000 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 6189700196426901/2475880078570760549798248448 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) (if (<=.f64 y #s(literal 31000000000000000813544153763014931388496020543611602061701215896929647189443315106235270038132770676159654024441942245376 binary64)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 y #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 520 binary64)) (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 y #s(literal -8106479329266893/9007199254740992 binary64)) (not (<=.f64 y #s(literal 520 binary64)))) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (cos.f64 y) z)) (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (fma.f64 y x z))
(if (<=.f64 z #s(literal -4742843975160471/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) (if (<=.f64 z #s(literal 3033608744706093/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))))
(if (or (<=.f64 z #s(literal -4742843975160471/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (not (<=.f64 z #s(literal 3033608744706093/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072 binary64)))) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (+ (* y x) z) (*.f64 x y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (+ (* y x) z) (*.f64 x y)))

soundness1.2s (16%)

Memory
-19.9MiB live, 696.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096246
1383242
21408232
33772230
47418230
08306203
02961066
111001016
242431003
08371911
0234770
1865758
23177724
37271720
08487655
0819
01319
13919
225119
3262919
0833318
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 602 to 248 computations (58.8% saved)

preprocess66.0ms (0.9%)

Memory
12.1MiB live, 86.5MiB allocated
Compiler

Compiled 742 to 206 computations (72.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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