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

Time bar (total: 8.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample1.4s (17.5%)

Memory
-137.8MiB live, 1 430.9MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 881.0ms
ival-cos: 479.0ms (54.4% of total)
ival-sin: 231.0ms (26.2% of total)
ival-mult: 124.0ms (14.1% of total)
ival-add: 37.0ms (4.2% of total)
ival-true: 7.0ms (0.8% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain180.0ms (2.2%)

Memory
-25.4MiB live, 152.1MiB 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
88.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-cos: 49.0ms (68.5% of total)
ival-sin: 12.0ms (16.8% of total)
ival-mult: 7.0ms (9.8% of total)
ival-add: 2.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess46.0ms (0.6%)

Memory
0.8MiB live, 35.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
17981
213981
330781
445881
569381
687181
795781
8103881
9110481
10111881
11112381
12112581
089
0139
1169
0168
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

simplify3.0ms (0%)

Memory
4.2MiB live, 4.2MiB 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-diff128
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
11624
01623
Stop Event
iter limit
saturated
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)

localize64.0ms (0.8%)

Memory
-7.7MiB live, 64.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.015625
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy0.1328125
(*.f64 z (cos.f64 y))
accuracy0.15234375
(*.f64 x (sin.f64 y))
Samples
51.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-sin: 31.0ms (73.3% of total)
ival-cos: 5.0ms (11.8% of total)
ival-mult: 4.0ms (9.5% of total)
ival-add: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify178.0ms (2.2%)

Memory
-18.7MiB live, 100.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109682
1344678
2981668
32637662
44654662
56949662
08182606
Stop Event
iter limit
node limit
Counts
108 → 105
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
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
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
Outputs
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -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)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.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 #s(literal -1/2 binary64) y) z 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 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) 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)) (*.f64 x (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))) (*.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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
z
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(*.f64 z (fma.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)) (*.f64 y y) #s(literal 1 binary64)))
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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)

rewrite292.0ms (3.6%)

Memory
32.8MiB live, 307.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
12921
218521
3183621
0839120
Stop Event
iter limit
node limit
iter limit
Counts
5 → 177
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 z (cos.f64 y))
(cos.f64 y)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval83.0ms (1%)

Memory
-6.4MiB live, 117.9MiB allocated
Compiler

Compiled 8 420 to 573 computations (93.2% saved)

prune22.0ms (0.3%)

Memory
-10.4MiB live, 64.0MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New26616282
Fresh000
Picked101
Done000
Total26716283
Accuracy
99.9%
Counts
283 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
53.6%
(fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
48.3%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
53.9%
(/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
33.2%
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
74.4%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
53.9%
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
33.1%
(*.f64 (neg.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 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
45.0%
#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))
45.3%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
46.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
37.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
64.1%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Compiler

Compiled 630 to 374 computations (40.6% saved)

simplify166.0ms (2.1%)

Memory
12.8MiB live, 169.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(*.f64 (*.f64 (sin.f64 y) x) x)
cost-diff128
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
cost-diff42176
(fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
cost-diff27392
(/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
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: 2 (0.0ms)

IterNodesCost
028257
048212
181212
2153211
3419211
41140211
52937211
64537211
76534211
08202211
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))) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
z
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(neg.f64 z)
(fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(*.f64 (*.f64 (sin.f64 y) x) x)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(neg.f64 z)
z
(cos.f64 y)
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
#s(literal 2 binary64)
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))) (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
(/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(-.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 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
#s(literal 2 binary64)
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(cos.f64 y)
z
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))
(neg.f64 z)
(fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(*.f64 (*.f64 (sin.f64 y) x) x)
(*.f64 (*.f64 x (sin.f64 y)) x)
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
(/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))
(neg.f64 z)
z
(cos.f64 y)
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
#s(literal 2 binary64)

localize120.0ms (1.5%)

Memory
-9.7MiB live, 151.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(*.f64 (sin.f64 y) x)
accuracy0.1953125
(/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
accuracy11.129657761669549
(fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
accuracy23.64691124641972
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
accuracy0.15234375
(*.f64 (sin.f64 y) x)
accuracy0.20378876953688402
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy2.0468646791510294
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
accuracy29.36963111532018
(/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
accuracy0
(sin.f64 y)
accuracy0.15234375
(*.f64 (sin.f64 y) x)
accuracy39.85458797296733
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
accuracy0
(fma.f64 y x z)
accuracy34.2007361417172
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.06640625
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy0.1328125
(*.f64 (cos.f64 y) z)
Samples
87.0ms256×0valid
Compiler

Compiled 260 to 29 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-div: 16.0ms (24.8% of total)
ival-add: 15.0ms (23.3% of total)
ival-mult: 13.0ms (20.2% of total)
ival-sin: 7.0ms (10.9% of total)
ival-cos: 6.0ms (9.3% of total)
ival-pow2: 5.0ms (7.8% of total)
ival-neg: 2.0ms (3.1% of total)
ival-sub: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series96.0ms (1.2%)

Memory
17.8MiB live, 96.2MiB allocated
Counts
16 → 480
Calls
Call 1
Inputs
#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())
#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sin.f64 y) x) x) (patch (*.f64 (*.f64 (sin.f64 y) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())
Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 x) (/ (* z (cos y)) (* (pow x 2) (sin y)))) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 2))) (* -1 (/ (cos y) (* (pow x 2) (sin y)))))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 2)))))) (* -1 (/ (cos y) (* (pow x 2) (sin y)))))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (sin y)))) 1) x)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 2))) x)) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
24.0ms
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))) (* (sin y) x) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (+ (* (* (* (sin y) x) x) (/ (sin y) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (* (sin y) x) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/ (sin y) (+ (* (neg z) (cos y)) (* (sin y) x))))
20.0ms
y
@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))) (* (sin y) x) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (+ (* (* (* (sin y) x) x) (/ (sin y) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (* (sin y) x) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/ (sin y) (+ (* (neg z) (cos y)) (* (sin y) x))))
6.0ms
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))) (* (sin y) x) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (+ (* (* (* (sin y) x) x) (/ (sin y) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (* (sin y) x) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/ (sin y) (+ (* (neg z) (cos y)) (* (sin y) x))))
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))) (* (sin y) x) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (+ (* (* (* (sin y) x) x) (/ (sin y) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (* (sin y) x) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/ (sin y) (+ (* (neg z) (cos y)) (* (sin y) x))))
5.0ms
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))) (* (sin y) x) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (+ (* (* (* (sin y) x) x) (/ (sin y) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (* (sin y) x) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/ (sin y) (+ (* (neg z) (cos y)) (* (sin y) x))))

simplify191.0ms (2.4%)

Memory
-11.2MiB live, 206.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07066727
124476458
083216147
Stop Event
iter limit
node limit
Counts
480 → 468
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
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z
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(* -1 (* (pow z 2) (pow (cos y) 2)))
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(+ (* -1 (/ (sin y) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 2))))))
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(* (pow x 2) (sin y))
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(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))
(/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x)
(/ 1 x)
(/ (+ 1 (/ (* z (cos y)) (* x (sin y)))) x)
(/ (- (+ 1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* z (cos y)) (* x (sin y))))) x)
(/ (- (+ 1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3)))) (+ (* -1 (/ (* z (cos y)) (* x (sin y)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))))) x)
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(* (pow x 2) (sin y))
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(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
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(/ 1 x)
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (sin y)))) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2))) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 2))) x)) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))
Outputs
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
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(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
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(* x y)
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(* (pow x 2) (pow (sin y) 2))
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(/ 1 x)
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(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
(/.f64 (fma.f64 z (*.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x)))) x)) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (sin y)))) 1) x))
(/.f64 (fma.f64 (/.f64 z (sin.f64 y)) (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2))) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (cos.f64 y) (/.f64 z (sin.f64 y)))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 2))) x)) (* -1 (/ (* z (cos y)) (sin y)))) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (*.f64 (cos.f64 y) (/.f64 z (sin.f64 y)))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))

rewrite331.0ms (4.1%)

Memory
21.6MiB live, 359.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028181
048136
1188136
21315136
08604136
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 562
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))) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))
(*.f64 (*.f64 (sin.f64 y) x) x)
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
Outputs
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eval477.0ms (5.9%)

Memory
18.9MiB live, 978.1MiB allocated
Compiler

Compiled 109 597 to 3 214 computations (97.1% saved)

prune143.0ms (1.8%)

Memory
33.4MiB live, 298.0MiB allocated
Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New2 415242 439
Fresh7411
Picked235
Done000
Total2 424312 455
Accuracy
100.0%
Counts
2 455 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.2%
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
66.7%
(fma.f64 (/.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
83.2%
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
64.1%
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
51.6%
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
74.4%
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
29.2%
(/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) x)))
21.4%
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
32.7%
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
74.4%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
53.9%
(*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
21.5%
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z))
88.7%
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
86.5%
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
64.1%
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (cos.f64 y) z))
45.0%
#s(approx (+ (* (sin y) x) (* (cos 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))
45.3%
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
46.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
20.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
46.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
37.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
10.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
10.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
32.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
46.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
10.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
10.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) 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)))
10.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
Compiler

Compiled 952 to 668 computations (29.8% saved)

simplify9.0ms (0.1%)

Memory
-23.7MiB live, 14.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
cost-diff0
(fma.f64 x y z)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x y z))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* y x) z) (*.f64 y x))
cost-diff0
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028161
042145
158145
270145
390145
4109145
5111145
6112145
0112145
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* y x) z) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x y z))
(fma.f64 x y z)
x
y
z
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(sin.f64 y)
y
x
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(literal -1 binary64)
Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
x
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* y x) z) (*.f64 y x))
#s(approx (+ (* y x) z) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 x y z)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x y z))
(fma.f64 x y z)
x
y
z
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
(sin.f64 y)
y
x
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(cos.f64 y)
y
z
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
x
#s(literal -1 binary64)

localize106.0ms (1.3%)

Memory
-16.1MiB live, 202.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy0.15234375
(*.f64 (sin.f64 y) x)
accuracy0.1640625
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
accuracy0.19921875
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
accuracy0
(sin.f64 y)
accuracy0.06640625
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
accuracy0.1328125
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
accuracy32.46407885091395
#s(approx (cos y) #s(literal 1 binary64))
accuracy0
(fma.f64 x y z)
accuracy0.15234375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
accuracy0.4265813312327671
(/.f64 #s(literal 1 binary64) (fma.f64 x y z))
accuracy34.2007361417172
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
accuracy0
(*.f64 y x)
accuracy32.27589606419108
#s(approx (+ (* y x) z) (*.f64 y x))
accuracy34.2007361417172
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.078125
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy0.15234375
(*.f64 (sin.f64 y) x)
Samples
70.0ms256×0valid
Compiler

Compiled 142 to 24 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 16.0ms (37.1% of total)
ival-cos: 7.0ms (16.2% of total)
ival-sin: 6.0ms (13.9% of total)
ival-div: 5.0ms (11.6% of total)
ival-add: 5.0ms (11.6% of total)
ival-pow: 4.0ms (9.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
-3.6MiB live, 73.4MiB allocated
Counts
16 → 468
Calls
Call 1
Inputs
#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #<representation binary64>) () ())
#s(alt (fma.f64 x y z) (patch (fma.f64 x y z) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 x y z) (patch (fma.f64 x y z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 x y z) (patch (fma.f64 x y z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 x y z) (patch (fma.f64 x y z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 x y z) (patch (fma.f64 x y z) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (/ z (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (/ (pow z 2) (pow y 3))) x)) (/ z (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 x y z) (patch (fma.f64 x y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 x y z) (patch (fma.f64 x y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 x y z) (patch (fma.f64 x y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 x y z) (patch (fma.f64 x y z) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (sin y))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify154.0ms (1.9%)

Memory
35.5MiB live, 273.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04674294
115044227
249544173
081483917
Stop Event
iter limit
node limit
Counts
468 → 449
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(/ 1 (* x y))
(+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ 1 z)
(/ (+ 1 (* -1 (/ (* x y) z))) z)
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)) z)
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) z)
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(/ 1 z)
(* -1 (/ (- (/ (* x y) z) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* x y)) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1) z))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (* -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 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
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (/ (* (pow x 2) y) (pow z 3)) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
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
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(cos y)
(cos y)
(cos y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
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Outputs
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
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(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* x (sin y))
(*.f64 (sin.f64 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 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 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 y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x))
(/.f64 (-.f64 (/.f64 z (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (/ z (pow y 2))) x)) (/ 1 y)) x))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (/ (pow z 2) (pow y 3))) x)) (/ z (pow y 2))) x)) (/ 1 y)) x))
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(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
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(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
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(/ 1 (* x (sin y)))
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(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z z) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x))) x))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)

rewrite218.0ms (2.7%)

Memory
10.9MiB live, 242.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028125
042109
1157109
2796109
08395109
Stop Event
iter limit
node limit
iter limit
Counts
16 → 875
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos.f64 y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* y x) z) (*.f64 y x))
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
(/.f64 #s(literal 1 binary64) (fma.f64 x y z))
(fma.f64 x y z)
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
#s(approx (cos y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
Outputs
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eval380.0ms (4.7%)

Memory
-58.0MiB live, 331.1MiB allocated
Compiler

Compiled 41 408 to 2 939 computations (92.9% saved)

prune119.0ms (1.5%)

Memory
21.2MiB live, 182.7MiB allocated
Pruning

36 alts after pruning (31 fresh and 5 done)

PrunedKeptTotal
New1 578171 595
Fresh91423
Picked325
Done033
Total1 590361 626
Accuracy
100.0%
Counts
1 626 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.7%
(fma.f64 (/.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
51.6%
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
74.4%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
52.6%
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
29.2%
(/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) x)))
21.4%
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
32.7%
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
52.5%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))))
63.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))))
35.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)))
38.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
37.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
64.0%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
39.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
88.7%
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
86.5%
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
64.1%
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (cos.f64 y) z))
45.0%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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))
45.3%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
91.7%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
86.4%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
46.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
20.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
45.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x y) z) (fma.f64 x y z)) (-.f64 (*.f64 x y) z))))
10.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
8.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x))))
37.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
10.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
10.4%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
32.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
46.0%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
10.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
10.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) 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)))
10.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
Compiler

Compiled 923 to 721 computations (21.9% saved)

simplify142.0ms (1.8%)

Memory
0.2MiB live, 79.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 z (cos.f64 y)))
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
cost-diff7104
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)
cost-diff0
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
cost-diff0
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
cost-diff0
(/.f64 (sin.f64 y) z)
cost-diff0
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
cost-diff0
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
cost-diff704
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038229
065231
197210
2145210
3257210
4401204
5465204
6841204
71968204
82845204
93053204
103612204
113905204
124475204
135020204
145899204
156751204
08591204
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
x
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
(sin.f64 y)
y
x
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
#s(literal 2 binary64)
Outputs
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
x
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(sin.f64 y)
y
x
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))
(*.f64 (cos.f64 y) z)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
z
(cos.f64 y)
#s(literal 2 binary64)

localize225.0ms (2.8%)

Memory
-30.3MiB live, 175.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
accuracy0.02734375
(sqrt.f64 (*.f64 z (cos.f64 y)))
accuracy0.0625
(*.f64 z (cos.f64 y))
accuracy0.23046875
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))
accuracy0
(sin.f64 y)
accuracy0.04296875
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
accuracy0.08984375
(*.f64 (sin.f64 y) x)
accuracy16.358856979286422
#s(approx (cos y) #s(literal 1 binary64))
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)
accuracy0.0703125
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
accuracy17.62483956230082
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy0.0234375
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
accuracy17.691406642218425
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
accuracy0
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
accuracy0.0234375
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
accuracy0.05859375
(/.f64 (sin.f64 y) z)
accuracy2.8890961630850147
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
Samples
87.0ms123×0invalid
86.0ms133×0valid
Compiler

Compiled 204 to 38 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-sin: 50.0ms (33.9% of total)
ival-mult: 45.0ms (30.5% of total)
ival-add: 29.0ms (19.7% of total)
ival-cos: 7.0ms (4.7% of total)
const: 4.0ms (2.7% of total)
ival-pow: 4.0ms (2.7% of total)
ival-div: 3.0ms (2% of total)
ival-sqrt: 2.0ms (1.4% of total)
ival-pow2: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series75.0ms (0.9%)

Memory
-5.3MiB live, 120.5MiB allocated
Counts
20 → 588
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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)) #<representation binary64>) () ())
#s(alt (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) (patch (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) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 z (cos.f64 y))) (patch (sqrt.f64 (*.f64 z (cos.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) (patch (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x (sin y)) (* z (cos y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) (patch (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 z) (* -1/6 (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 z) (* -1/6 (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 z) (* -1/6 (* x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x y)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) (patch (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) (patch (fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -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)) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (pow (sqrt (* z (cos y))) 2) (+ (* (sin y) x) (pow (sqrt (* z (cos y))) 2)) (sqrt (* z (cos y))) (* z (cos y)))
5.0ms
z
@-inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -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)) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (pow (sqrt (* z (cos y))) 2) (+ (* (sin y) x) (pow (sqrt (* z (cos y))) 2)) (sqrt (* z (cos y))) (* z (cos y)))
3.0ms
z
@0
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -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)) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (pow (sqrt (* z (cos y))) 2) (+ (* (sin y) x) (pow (sqrt (* z (cos y))) 2)) (sqrt (* z (cos y))) (* z (cos y)))
3.0ms
y
@-inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -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)) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (pow (sqrt (* z (cos y))) 2) (+ (* (sin y) x) (pow (sqrt (* z (cos y))) 2)) (sqrt (* z (cos y))) (* z (cos y)))
3.0ms
y
@inf
((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -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)) (+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (pow (sqrt (* z (cos y))) 2) (+ (* (sin y) x) (pow (sqrt (* z (cos y))) 2)) (sqrt (* z (cos y))) (* z (cos y)))

simplify217.0ms (2.7%)

Memory
8.8MiB live, 356.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03565349
111925192
238165110
081924637
Stop Event
iter limit
node limit
Counts
588 → 572
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(/ (* x (sin y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x y)
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
x
(+ x (* -1/2 (* y z)))
(+ x (* -1/2 (* y z)))
(+ x (* -1/2 (* y z)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* 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)))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(* -1/6 (* x y))
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (/ x z)))
(* z (+ (* -1/2 y) (/ x z)))
(* z (+ (* -1/2 y) (/ x z)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* -1/2 z)
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -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 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) 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)))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* -1/2 (* y z)))))
x
(+ x (* -1/2 (* y z)))
(+ x (* -1/2 (* y z)))
(+ x (* -1/2 (* y z)))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(* -1/2 z)
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
(+ (* -1/2 z) (* -1/6 (* x y)))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* x y)
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(* 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))))
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(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
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(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(sqrt z)
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(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/24 z) (* 1/16 z)))) (* 1/2 (* (* (pow y 2) (- (* -1/720 z) (* -1/4 (- (* 1/24 z) (* 1/16 z))))) (sqrt (/ 1 z)))))))))
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(+ z (* -1/2 (* (pow y 2) z)))
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(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
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(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(sqrt (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ x y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))
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(* -1/2 y)
(* -1/2 y)
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(* -1/2 y)
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
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(sqrt (* z (cos y)))
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(+ (* x (sin y)) (* z (cos y)))
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(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
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x
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(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
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x
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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Outputs
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(/ (* x (sin y)) z)
(/.f64 (*.f64 (sin.f64 y) x) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x y)
(*.f64 y x)
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)
x
(+ x (* -1/2 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x)
(+ x (* -1/2 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x)
(+ x (* -1/2 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 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 (* -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 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ (* 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 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ (* 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 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x)
(* -1/6 (* x y))
(*.f64 #s(literal -1/6 binary64) (*.f64 y x))
(+ (* -1/2 z) (* -1/6 (* x y)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
(+ (* -1/2 z) (* -1/6 (* x y)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
(+ (* -1/2 z) (* -1/6 (* x y)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z))
(* x (sin y))
(*.f64 (sin.f64 y) x)
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(* -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 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 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)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) x) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) x) y) x)
x
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))
(*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 x))
(* x (sin y))
(*.f64 (sin.f64 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 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 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 (* y (- (* 1/6 (pow y 2)) 1))))
(*.f64 (*.f64 (neg.f64 y) x) (fma.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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(*.f64 (fma.f64 y (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(*.f64 (fma.f64 y (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(*.f64 (fma.f64 y (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) #s(literal -1 binary64)) (neg.f64 x))
(* -1/6 (* x y))
(*.f64 #s(literal -1/6 binary64) (*.f64 y x))
(* -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 (+ (* 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 (+ (* 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)
(* x (sin y))
(*.f64 (sin.f64 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 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 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)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 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 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 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)

rewrite236.0ms (2.9%)

Memory
16.0MiB live, 309.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038195
065189
1234174
21642174
08632174
Stop Event
iter limit
node limit
iter limit
Counts
20 → 516
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
Outputs
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eval228.0ms (2.8%)

Memory
-17.3MiB live, 289.4MiB allocated
Compiler

Compiled 21 421 to 2 289 computations (89.3% saved)

prune104.0ms (1.3%)

Memory
7.2MiB live, 177.1MiB allocated
Pruning

41 alts after pruning (32 fresh and 9 done)

PrunedKeptTotal
New1 105151 120
Fresh91726
Picked145
Done055
Total1 115411 156
Accuracy
100.0%
Counts
1 156 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
99.8%
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
99.8%
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
74.4%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
45.1%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)))
52.6%
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
29.2%
(/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) x)))
38.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
37.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
64.0%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
39.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
88.7%
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
86.5%
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
64.1%
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (cos.f64 y) z))
45.3%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
45.2%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
45.2%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x))) y z))
37.1%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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))
42.2%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
79.2%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.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))))
91.6%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
45.2%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))))
91.7%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
86.4%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
88.7%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) z))
91.7%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) x (cos.f64 y)) z))
43.4%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z))
91.5%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) x)) z))
39.3%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
37.1%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
3.1%
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
46.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
20.2%
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
10.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
8.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x))))
37.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
10.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
32.7%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
10.9%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
10.6%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) 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)))
10.5%
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
Compiler

Compiled 1 630 to 713 computations (56.3% saved)

regimes120.0ms (1.5%)

Memory
-1.7MiB live, 191.0MiB allocated
Counts
73 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos 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))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) 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 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x))) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x y) z) (fma.f64 x y z)) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x))))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (cos.f64 y) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) x (cos.f64 y)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) x)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) z))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))))
(/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.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 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))))
(/.f64 (-.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 (neg.f64 z) (cos.f64 y) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) x)))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 (neg.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 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
Calls

4 calls:

37.0ms
x
30.0ms
y
24.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
22.0ms
z
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)

regimes57.0ms (0.7%)

Memory
15.9MiB live, 136.6MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos 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))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) 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 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x))) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x y) z) (fma.f64 x y z)) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x))))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (cos.f64 y) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
Calls

4 calls:

15.0ms
y
14.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
14.0ms
x
12.0ms
z
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)

regimes58.0ms (0.7%)

Memory
-18.9MiB live, 137.7MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos 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))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) 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 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x))) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x y) z) (fma.f64 x y z)) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x))))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (cos.f64 y) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
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:

16.0ms
y
13.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
13.0ms
z
11.0ms
x
Results
AccuracySegmentsBranch
87.8%3x
75.9%2y
89.5%3z
74.4%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes13.0ms (0.2%)

Memory
35.3MiB live, 35.3MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos 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))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) 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 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x))) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x y) z) (fma.f64 x y z)) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x))))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (cos.f64 y) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

1 calls:

11.0ms
z
Results
AccuracySegmentsBranch
89.4%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes25.0ms (0.3%)

Memory
-13.3MiB live, 61.6MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos 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))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) 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 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x))) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x y) z) (fma.f64 x y z)) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x))))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (cos.f64 y) z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

2 calls:

11.0ms
x
10.0ms
z
Results
AccuracySegmentsBranch
75.8%3x
77.9%3z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes69.0ms (0.9%)

Memory
-13.0MiB live, 111.7MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos 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))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) 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 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x))) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x y) z) (fma.f64 x y z)) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x))))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

4 calls:

27.0ms
z
19.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
11.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
68.9%3x
64.1%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
72.3%3y
67.4%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes44.0ms (0.6%)

Memory
11.9MiB live, 134.8MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) y x) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (sin y) x) (* (cos 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))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (* -1/2 y) z) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) y z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) 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 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x))) y z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 x y) z) (fma.f64 x y z)) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x))))
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
Calls

4 calls:

12.0ms
x
11.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.0ms
y
9.0ms
z
Results
AccuracySegmentsBranch
46.6%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
46.6%1z
46.6%1x
46.6%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory
-15.8MiB live, 22.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
Outputs
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
Calls

4 calls:

3.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
39.3%1z
39.3%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
39.3%1x
39.3%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB 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 y x)))
Outputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
Calls

4 calls:

1.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
10.9%1x
10.9%1z
10.9%1y
10.9%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch49.0ms (0.6%)

Memory
16.8MiB live, 131.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
2.6843302674187987e+47
2.086839007742528e+48
33.0ms
-4.8379357707448345e+38
-53919922994171.086
Samples
35.0ms272×0valid
Compiler

Compiled 233 to 286 computations (-22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-sin: 14.0ms (49.5% of total)
ival-cos: 6.0ms (21.2% of total)
ival-add: 4.0ms (14.1% of total)
ival-mult: 4.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
-30.6MiB live, 8.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.6843302674187987e+47
2.086839007742528e+48
2.0ms
-4.8379357707448345e+38
-53919922994171.086
Compiler

Compiled 233 to 286 computations (-22.7% saved)

bsearch36.0ms (0.4%)

Memory
9.2MiB live, 93.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
2.325360003312474e-34
1.369653589993956e-31
16.0ms
-4.8379357707448345e+38
-53919922994171.086
Samples
21.0ms240×0valid
Compiler

Compiled 202 to 280 computations (-38.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (39.6% of total)
ival-cos: 5.0ms (33% of total)
ival-mult: 3.0ms (19.8% of total)
ival-add: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (0.5%)

Memory
10.8MiB live, 88.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
8501792991196064.0
27609605617281148.0
23.0ms
-1978594528.5485244
-72.00402195456304
Samples
27.0ms224×0valid
Compiler

Compiled 222 to 238 computations (-7.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 9.0ms (42.8% of total)
ival-cos: 8.0ms (38% of total)
ival-mult: 3.0ms (14.3% of total)
ival-add: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify28.0ms (0.3%)

Memory
-30.5MiB live, 62.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065273
174273
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -13500000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 400000000000000017538337218030478941853619060736 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 z #s(literal -13500000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 400000000000000017538337218030478941853619060736 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -72000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 8652089692998945/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -75 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 8600000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.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 y x)))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -13500000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 400000000000000017538337218030478941853619060736 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 z #s(literal -13500000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 400000000000000017538337218030478941853619060736 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 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -13500000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 400000000000000017538337218030478941853619060736 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -13500000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 400000000000000017538337218030478941853619060736 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -72000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 8652089692998945/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -72000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 8652089692998945/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -75 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 8600000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -75 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 8600000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.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 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

soundness1.2s (15.3%)

Memory
16.6MiB live, 772.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03565349
111925192
238165110
081924637
04674294
115044227
249544173
081483917
0821
01321
12921
218521
3183621
0839120
0109682
1344678
2981668
32637662
44654662
56949662
08182606
07066727
124476458
083216147
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 321 to 176 computations (45.2% saved)

preprocess178.0ms (2.2%)

Memory
-9.8MiB live, 66.5MiB allocated
Compiler

Compiled 286 to 114 computations (60.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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