Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (20%)

Memory
46.4MiB live, 1 555.3MiB allocated
Samples
1.2s8 251×0valid
1.0ms3valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 785.0ms
ival-sin: 278.0ms (35.4% of total)
ival-cos: 261.0ms (33.2% of total)
ival-add: 131.0ms (16.7% of total)
ival-mult: 105.0ms (13.4% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 4.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain128.0ms (1.7%)

Memory
-26.8MiB live, 262.4MiB 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
63.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-cos: 14.0ms (39.6% of total)
ival-sin: 12.0ms (33.9% of total)
ival-add: 5.0ms (14.1% of total)
ival-mult: 4.0ms (11.3% of total)
ival-true: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)

preprocess66.0ms (0.9%)

Memory
3.3MiB live, 41.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03590
19282
223481
358881
4102981
5141481
6169681
7188881
8199581
9205581
10206981
089
0139
1189
2259
3279
0278
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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory
7.2MiB live, 7.2MiB 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
11824
22524
32724
02723
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)

localize44.0ms (0.6%)

Memory
-11.7MiB live, 102.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.00390625
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy0.00390625
(+.f64 x (sin.f64 y))
accuracy0.1328125
(*.f64 z (cos.f64 y))
Samples
29.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 7.0ms (37.5% of total)
ival-sin: 6.0ms (32.1% of total)
ival-add: 2.0ms (10.7% of total)
ival-mult: 2.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
25.3MiB live, 25.3MiB 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 z) (/ (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 z) (/ (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 z) (/ (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 (+ x 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 (+ x (+ 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 (+ x (+ z (* y (+ 1 (* -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 (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.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 (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) (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 (+ (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) (* 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 (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 (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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt 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) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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 (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (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
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
y
@0
((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y))

simplify164.0ms (2.1%)

Memory
-2.7MiB live, 231.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109647
1310643
2846633
32177631
44214631
57324631
08046578
Stop Event
iter limit
node limit
Counts
108 → 101
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 z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (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))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
x
(+ x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
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)
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
Outputs
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (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 z) (/ (sin y) z))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 (fma.f64 (cos.f64 y) z (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)))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 (fma.f64 (cos.f64 y) z (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)
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 (+.f64 y x) z)
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))
x
(+ x y)
(+.f64 y x)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 y x))
(+ x (* 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)) (+.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 (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)
(+ 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))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) 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)
(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))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) 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)
(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)
(+ (sin y) (* z (cos y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(sin y)
(sin.f64 y)
(+ 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
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
x
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)

rewrite210.0ms (2.7%)

Memory
-10.0MiB live, 243.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
14321
236221
3554821
0832020
Stop Event
iter limit
node limit
iter limit
Counts
5 → 172
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>
#<batchref>
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eval35.0ms (0.5%)

Memory
1.7MiB live, 73.8MiB allocated
Compiler

Compiled 5 953 to 603 computations (89.9% saved)

prune17.0ms (0.2%)

Memory
8.2MiB live, 46.4MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New25716273
Fresh000
Picked101
Done000
Total25816274
Accuracy
99.9%
Counts
274 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.7%
(fma.f64 (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (cos.f64 y) z))
99.9%
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
41.8%
(/.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)))
41.7%
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x 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)))
55.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))))
63.5%
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))
55.8%
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal -1 binary64)))
41.7%
(*.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) #s(literal -1 binary64)))
48.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))
51.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
63.5%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
55.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
54.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
63.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
47.5%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Compiler

Compiled 526 to 338 computations (35.7% saved)

simplify195.0ms (2.5%)

Memory
2.7MiB live, 235.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (cos.f64 y) z (sin.f64 y))
cost-diff0
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))
cost-diff0
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
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
(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
(+.f64 z x)
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z 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
028199
045193
170193
2119193
3396193
41327193
54139193
66501193
08062193
Stop Event
iter limit
node limit
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))) (+.f64 z x))
(+.f64 z x)
z
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(/.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)
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(cos.f64 y)
y
z
(sin.f64 y)
#s(literal 3 binary64)
(pow.f64 x #s(literal 3 binary64))
x
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))
(-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(*.f64 x x)
Outputs
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.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))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
(+.f64 z x)
(+.f64 x z)
z
x
#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 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 z (cos.f64 y) (+.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 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1 binary64))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 z (cos.f64 y) (+.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)
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)))
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(cos.f64 y)
y
z
(sin.f64 y)
#s(literal 3 binary64)
(pow.f64 x #s(literal 3 binary64))
x
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))
(fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x))
(-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(*.f64 x x)

localize96.0ms (1.2%)

Memory
-37.3MiB live, 175.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))
accuracy0.26599506837909415
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))
accuracy3.0937376149812352
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy36.266473068487024
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
accuracy0.00390625
(+.f64 (sin.f64 y) x)
accuracy0.06640625
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
accuracy0.12109375
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))
accuracy0.2265625
(/.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)
accuracy0.00390625
(+.f64 (sin.f64 y) x)
accuracy29.26952345695682
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
accuracy0
(+.f64 z x)
accuracy23.143128187262846
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.00390625
(+.f64 (sin.f64 y) x)
accuracy0.06640625
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
Samples
74.0ms256×0valid
Compiler

Compiled 207 to 28 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-cos: 15.0ms (28% of total)
ival-pow: 11.0ms (20.5% of total)
ival-add: 8.0ms (14.9% of total)
ival-mult: 8.0ms (14.9% of total)
ival-sin: 6.0ms (11.2% of total)
ival-div: 3.0ms (5.6% of total)
ival-sub: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.7%)

Memory
-0.4MiB live, 120.0MiB allocated
Counts
14 → 408
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))) (+.f64 z x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())
#s(alt (+.f64 z x) (patch (+.f64 z x) #<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 #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>) () ())
#s(alt (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) (patch (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) z (sin.f64 y)) (patch (fma.f64 (cos.f64 y) z (sin.f64 y)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (patch (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) #<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))) (+.f64 z x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z 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 z x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z 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 z x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z 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 z x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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) (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 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) 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 (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) 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 (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) 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 x (taylor -inf x) (#s(alt (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) (patch (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) (patch (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) (patch (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) (patch (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (patch (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (patch (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (patch (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (patch (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)))
5.0ms
x
@0
((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)))
4.0ms
z
@-inf
((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)))
4.0ms
z
@inf
((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)))
4.0ms
z
@0
((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)))

simplify181.0ms (2.3%)

Memory
8.9MiB live, 238.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07468087
124587623
082727093
Stop Event
iter limit
node limit
Counts
408 → 387
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
(+ x z)
(+ x z)
(+ x z)
(+ 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))))
(/ 1 (+ x (sin y)))
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y))))
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))
(+ (pow x 3) (pow (sin y) 3))
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2)))) (+ (pow x 3) (pow (sin y) 3)))
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) (* (cos y) (pow (sin y) 2))))) (+ (pow x 3) (pow (sin y) 3)))
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (+ (* z (pow (cos y) 3)) (* (pow (cos y) 2) (sin y))))) (* (cos y) (pow (sin y) 2))))) (+ (pow x 3) (pow (sin y) 3)))
(pow (sin y) 3)
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2)))) (pow (sin y) 3))
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) (* (cos y) (pow (sin y) 2))))) (pow (sin y) 3))
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (+ (* z (pow (cos y) 3)) (* (pow (cos y) 2) (sin y))))) (* (cos y) (pow (sin y) 2))))) (pow (sin y) 3))
(sin y)
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (* (sin y) (- (sin y) x)) (pow x 2))
(+ (* z (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))
(+ (* z (+ (* z (pow (cos y) 2)) (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))
(+ (* z (+ (* z (pow (cos y) 2)) (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
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(+ 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) (* z (cos y))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)))
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)))
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)))
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)))
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3))
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3))
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3))
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3))
(pow (+ (sin y) (* z (cos y))) 3)
(pow (+ (sin y) (* z (cos y))) 3)
(pow (+ (sin y) (* z (cos y))) 3)
(pow (+ (sin y) (* z (cos y))) 3)
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
z
(+ x z)
(+ x z)
(+ x z)
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(/ 1 (+ (sin y) (* z (cos y))))
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y)))))
(+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(pow (+ (sin y) (* z (cos y))) 3)
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3))
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3))
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3))
(pow (+ (sin y) (* z (cos y))) 2)
(+ (* -1 (* x (+ (sin y) (* z (cos y))))) (pow (+ (sin y) (* z (cos y))) 2))
(+ (* x (+ x (* -1 (+ (sin y) (* z (cos y)))))) (pow (+ (sin y) (* z (cos y))) 2))
(+ (* x (+ x (* -1 (+ (sin y) (* z (cos y)))))) (pow (+ (sin y) (* z (cos y))) 2))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x)
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x))))
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))))
(pow x 3)
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))))
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))))
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(/ 1 x)
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1)))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) 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))))
(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
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z 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))
(+.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))
(/ 1 (+ x (sin y)))
(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y))))
(fma.f64 (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)))) z (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))
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(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))
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x
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(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)))
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(/ 1 x)
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(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x))
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(pow x 3)
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(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1)))
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(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x))))
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(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x))))
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rewrite204.0ms (2.6%)

Memory
-17.2MiB live, 241.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028143
045137
1209137
21668137
08806137
Stop Event
iter limit
node limit
iter limit
Counts
14 → 546
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))) (+.f64 z x))
(+.f64 z x)
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
(/.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))
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))
Outputs
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eval209.0ms (2.7%)

Memory
48.6MiB live, 272.3MiB allocated
Compiler

Compiled 45 292 to 2 883 computations (93.6% saved)

prune102.0ms (1.3%)

Memory
-12.9MiB live, 111.0MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New1 370251 395
Fresh10111
Picked235
Done000
Total1 382291 411
Accuracy
100.0%
Counts
1 411 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
63.5%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
63.5%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
51.1%
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
51.2%
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64))
31.3%
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))))
14.9%
(/.f64 #s(approx (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
55.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))))
51.0%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal -1 binary64))))
46.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z)))
63.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
47.4%
(/.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))))
38.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
86.5%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x))
47.5%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (*.f64 (cos.f64 y) z))
51.0%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
55.0%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
20.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))))
30.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
30.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
54.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
63.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
28.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) #s(literal -1 binary64))))
24.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.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)))
25.4%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
30.5%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
18.6%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
58.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
52.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
Compiler

Compiled 715 to 538 computations (24.8% saved)

simplify190.0ms (2.5%)

Memory
10.3MiB live, 86.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
cost-diff0
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64))
cost-diff0
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
cost-diff0
(sin.f64 y)
cost-diff0
#s(approx (+ (sin y) x) (sin.f64 y))
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
cost-diff0
#s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
cost-diff192
(fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff1152
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (+ (sin y) x) (+.f64 y x))
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
cost-diff0
(/.f64 (cos.f64 y) x)
cost-diff0
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
cost-diff0
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x))
cost-diff1600
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046247
068249
1120249
2237242
3700242
42245215
54375215
67930215
08341211
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x))
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
z
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(/.f64 (sin.f64 y) x)
(sin.f64 y)
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (sin y) x) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))
(neg.f64 z)
z
(fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 x z)
x
#s(literal -1 binary64)
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
#s(approx (+ (sin y) x) (sin.f64 y))
(sin.f64 y)
y
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
z
(cos.f64 y)
y
(+.f64 x (sin.f64 y))
x
(sin.f64 y)
#s(literal -1/2 binary64)
#s(literal -2 binary64)
Outputs
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x))
z
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(/.f64 (sin.f64 y) x)
(sin.f64 y)
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 x y)))
#s(approx (+ (sin y) x) (+.f64 y x))
#s(approx (+ (sin y) x) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (+.f64 x z)))
#s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ z x) (+.f64 x z))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))
(+.f64 x z)
(neg.f64 z)
z
(fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x z)
x
#s(literal -1 binary64)
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
#s(approx (+ (sin y) x) (sin.f64 y))
(sin.f64 y)
y
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
z
(cos.f64 y)
y
(+.f64 x (sin.f64 y))
(+.f64 (sin.f64 y) x)
x
(sin.f64 y)
#s(literal -1/2 binary64)
#s(literal -2 binary64)

localize130.0ms (1.7%)

Memory
-8.3MiB live, 68.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 x (sin.f64 y))
accuracy0.03125
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64))
accuracy0.0390625
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
accuracy0.276386279305326
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
accuracy0
(sin.f64 y)
accuracy16.249741616849555
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
accuracy18.871093991485665
#s(approx (+ (sin y) x) (sin.f64 y))
accuracy0
#s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))
accuracy0.00390625
(fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))
accuracy1.426987459992953
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))
accuracy13.252618185826405
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
accuracy0
(+.f64 y x)
accuracy14.859013786411516
#s(approx (+ (sin y) x) (+.f64 y x))
accuracy16.249741616849555
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
accuracy0.0546875
(/.f64 (cos.f64 y) x)
accuracy0.0625
(/.f64 (sin.f64 y) x)
accuracy0.07421875
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
accuracy4.763956666812257
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)
Samples
66.0ms124×0invalid
42.0ms132×0valid
Compiler

Compiled 195 to 41 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 38.0ms (42.5% of total)
ival-pow: 15.0ms (16.8% of total)
ival-add: 12.0ms (13.4% of total)
ival-cos: 8.0ms (8.9% of total)
ival-div: 6.0ms (6.7% of total)
ival-sin: 6.0ms (6.7% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series80.0ms (1%)

Memory
2.0MiB live, 39.8MiB allocated
Counts
20 → 564
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) (patch (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)) (patch #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) (patch (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (sin y) x) (+.f64 y x)) (patch #s(approx (+ (sin y) x) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))) (patch #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #<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 (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) (patch (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
34.0ms
x
@inf
((+ (* (+ (* z (/ (cos y) x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/ (cos y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (+ y x) (* (neg z) (+ (* (/ x z) -1) -1)) (+ (* (/ x z) -1) -1) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (+ (* z (cos y)) (+ x (sin y))) (cos y) (/ (sin y) x) (+ x (sin y)))
4.0ms
x
@-inf
((+ (* (+ (* z (/ (cos y) x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/ (cos y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (+ y x) (* (neg z) (+ (* (/ x z) -1) -1)) (+ (* (/ x z) -1) -1) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (+ (* z (cos y)) (+ x (sin y))) (cos y) (/ (sin y) x) (+ x (sin y)))
4.0ms
x
@0
((+ (* (+ (* z (/ (cos y) x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/ (cos y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (+ y x) (* (neg z) (+ (* (/ x z) -1) -1)) (+ (* (/ x z) -1) -1) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (+ (* z (cos y)) (+ x (sin y))) (cos y) (/ (sin y) x) (+ x (sin y)))
4.0ms
y
@inf
((+ (* (+ (* z (/ (cos y) x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/ (cos y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (+ y x) (* (neg z) (+ (* (/ x z) -1) -1)) (+ (* (/ x z) -1) -1) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (+ (* z (cos y)) (+ x (sin y))) (cos y) (/ (sin y) x) (+ x (sin y)))
4.0ms
y
@-inf
((+ (* (+ (* z (/ (cos y) x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/ (cos y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (+ y x) (* (neg z) (+ (* (/ x z) -1) -1)) (+ (* (/ x z) -1) -1) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (+ (* z (cos y)) (+ x (sin y))) (cos y) (/ (sin y) x) (+ x (sin y)))

simplify239.0ms (3.1%)

Memory
-13.3MiB live, 112.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07098261
121987915
277557847
081167313
Stop Event
iter limit
node limit
Counts
564 → 522
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))))
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))
(/ (sin y) x)
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(+ x z)
(+ x z)
(+ x z)
(* -1 (/ x z))
(/ (+ (* -1 x) (* -1 z)) z)
(/ (+ (* -1 x) (* -1 z)) z)
(/ (+ (* -1 x) (* -1 z)) z)
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(+ x z)
(+ x z)
(+ x z)
(+ 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))))
(sqrt (/ 1 (+ x (sin y))))
(+ (sqrt (/ 1 (+ x (sin y)))) (* -1/2 (* (* z (cos y)) (sqrt (/ 1 (pow (+ x (sin y)) 3))))))
(+ (sqrt (/ 1 (+ x (sin y)))) (* z (+ (* -1/2 (* (cos y) (sqrt (/ 1 (pow (+ x (sin y)) 3))))) (* -1/2 (* (* z (+ (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))) (* 1/4 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (sqrt (+ x (sin y))))))))
(+ (sqrt (/ 1 (+ x (sin y)))) (* z (+ (* -1/2 (* (cos y) (sqrt (/ 1 (pow (+ x (sin y)) 3))))) (* z (+ (* -1/2 (* (sqrt (+ x (sin y))) (+ (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))) (* 1/4 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3)))))) (* -1/2 (* (* z (+ (* 1/2 (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))) (* 1/4 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (+ x (sin y)))) (/ (pow (cos y) 3) (pow (+ x (sin y)) 4)))) (sqrt (+ x (sin 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) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (/ x z))) (/ (sin y) z)))
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (/ (pow (sin y) 2) (* (pow z 2) (cos y))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y))))))))
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (+ (/ (pow x 3) (* (pow z 3) (pow (cos y) 2))) (+ (/ (pow (sin y) 2) (* (pow z 2) (cos y))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 2))))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (pow (sin y) 2) (cos y))) (/ (pow (sin y) 2) (cos y))) (+ (/ (* (sin y) (- (sin y) x)) (cos y)) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (pow (cos y) 2)) (/ (pow x 2) (cos y)))))) (* (pow z 3) (pow (cos y) 2))) (+ (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 3) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y))))))))))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
-1
(- (* -1 (/ x z)) 1)
(- (* -1 (/ x z)) 1)
(- (* -1 (/ x z)) 1)
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(sqrt (/ 1 (* z (cos y))))
(+ (sqrt (/ 1 (* z (cos y)))) (* -1/2 (* (sqrt (/ (cos y) (pow z 3))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))))))
(+ (sqrt (/ 1 (* z (cos y)))) (+ (* -1/2 (* (sqrt (/ (cos y) (pow z 3))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow z 5) (cos y)))) (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))))))))
(+ (sqrt (/ 1 (* z (cos y)))) (+ (* -1/2 (* (sqrt (/ (cos y) (pow z 3))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))))) (+ (* -1/2 (* (sqrt (/ (cos y) (pow z 7))) (+ (* 1/4 (* z (* (cos y) (pow (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) 2)))) (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (pow (cos y) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow z 5) (cos y)))) (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))))))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x 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)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (+ (* -1 (/ (- (+ (/ (pow x 3) (pow (cos y) 2)) (/ (pow (sin y) 3) (pow (cos y) 2))) (+ (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2))))) (pow (cos y) 2)) (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* -1 (/ (pow (sin y) 2) (cos y))))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z)))))
(/ (* z (cos y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x 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 z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
-1
(- (* -1 (/ x z)) 1)
(- (* -1 (/ x z)) 1)
(- (* -1 (/ x z)) 1)
(* z (cos y))
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(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (/ x z))
(* -1 (* x (+ (/ 1 x) (/ 1 z))))
(* -1 (* x (+ (/ 1 x) (/ 1 z))))
(* -1 (* x (+ (/ 1 x) (/ 1 z))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (+ (sin y) (* z (cos y))) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (+ (sin y) (* z (cos y))) 2))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/4 (/ (* x (pow (+ (sin y) (* z (cos y))) 2)) (pow (sqrt -1) 2))) (pow (+ (sin y) (* z (cos y))) 3))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
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))
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) (fma.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) (/.f64 (*.f64 (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y)) (cos.f64 y)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))) z (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (*.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) (fma.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) (/.f64 (*.f64 (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y)) (cos.f64 y)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))) (/.f64 (*.f64 (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y)) (cos.f64 y)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))) z (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) (fma.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) (/.f64 (*.f64 (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y)) (cos.f64 y)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))) z))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) 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
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(/ (+ (* -1 x) (* -1 z)) z)
(/.f64 (-.f64 (neg.f64 z) x) z)
(/ (+ (* -1 x) (* -1 z)) z)
(/.f64 (-.f64 (neg.f64 z) x) z)
(/ (+ (* -1 x) (* -1 z)) z)
(/.f64 (-.f64 (neg.f64 z) x) 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
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z 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))
(+.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))
(sqrt (/ 1 (+ x (sin y))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))
(+ (sqrt (/ 1 (+ x (sin y)))) (* -1/2 (* (* z (cos y)) (sqrt (/ 1 (pow (+ x (sin y)) 3))))))
(fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) (cos.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))))
(+ (sqrt (/ 1 (+ x (sin y)))) (* z (+ (* -1/2 (* (cos y) (sqrt (/ 1 (pow (+ x (sin y)) 3))))) (* -1/2 (* (* z (+ (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))) (* 1/4 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (sqrt (+ x (sin y))))))))
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(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))

rewrite218.0ms (2.8%)

Memory
11.7MiB live, 131.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046222
068219
1313215
22529215
09217211
Stop Event
iter limit
node limit
iter limit
Counts
20 → 441
Calls
Call 1
Inputs
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x))
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))
(/.f64 (cos.f64 y) x)
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (sin y) x) (+.f64 y x))
(+.f64 y x)
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
#s(approx (+ (sin y) x) (sin.f64 y))
(sin.f64 y)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(cos.f64 y)
(/.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
Outputs
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eval205.0ms (2.7%)

Memory
-4.6MiB live, 115.3MiB allocated
Compiler

Compiled 20 440 to 2 560 computations (87.5% saved)

prune112.0ms (1.4%)

Memory
6.9MiB live, 121.9MiB allocated
Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New983171 000
Fresh81321
Picked235
Done123
Total994351 029
Accuracy
100.0%
Counts
1 029 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.5%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
63.5%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
50.7%
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/4 binary64)) #s(literal -4 binary64))
51.2%
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #s(literal 2 binary64))
26.0%
(pow.f64 #s(approx (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) #s(literal -2 binary64))
55.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))))
46.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z)))
63.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
47.4%
(/.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))))
38.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
51.0%
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
55.0%
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
47.5%
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (*.f64 (cos.f64 y) z))
86.6%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x))
86.5%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x))
53.9%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x x))
86.5%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (/.f64 (sin.f64 y) x)) x x))
70.5%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x))
58.0%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x))
20.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))))
30.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
30.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
54.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
63.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
28.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) #s(literal -1 binary64))))
24.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.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)))
25.4%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
15.5%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))))
30.5%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
18.6%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
30.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))
52.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
52.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)))))
27.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z)))))
27.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64)))))
Compiler

Compiled 764 to 623 computations (18.5% saved)

simplify189.0ms (2.4%)

Memory
0.3MiB live, 155.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
#s(approx (+ (sin y) x) (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
cost-diff0
(-.f64 z x)
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
cost-diff704
(/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(+.f64 y x)
cost-diff0
(+.f64 (+.f64 y x) z)
cost-diff0
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x))
cost-diff0
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x))
cost-diff1600
(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050240
072250
1122250
2226220
3721214
42203210
55048206
08315196
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x))
(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x))
(cos.f64 y)
y
(/.f64 z x)
z
x
(/.f64 (sin.f64 y) x)
(sin.f64 y)
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
(+.f64 (+.f64 y x) z)
(+.f64 y x)
y
x
z
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))
#s(literal 1 binary64)
(/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))
(-.f64 z x)
z
x
(*.f64 (+.f64 x z) (-.f64 z x))
(+.f64 x z)
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
(cos.f64 y)
y
z
#s(approx (+ (sin y) x) (sin.f64 y))
(sin.f64 y)
Outputs
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))
(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x))
(cos.f64 y)
y
(/.f64 z x)
z
x
(/.f64 (sin.f64 y) x)
(sin.f64 y)
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 x y) z))
(+.f64 (+.f64 y x) z)
(+.f64 (+.f64 x y) z)
(+.f64 y x)
(+.f64 x y)
y
x
z
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))
(+.f64 x z)
#s(literal 1 binary64)
(/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (+.f64 x z))
(-.f64 z x)
z
x
(*.f64 (+.f64 x z) (-.f64 z x))
(+.f64 x z)
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
(cos.f64 y)
y
z
#s(approx (+ (sin y) x) (sin.f64 y))
(sin.f64 y)

localize212.0ms (2.7%)

Memory
-16.3MiB live, 272.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.0390625
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
accuracy18.871093991485665
#s(approx (+ (sin y) x) (sin.f64 y))
accuracy0
(*.f64 (+.f64 x z) (-.f64 z x))
accuracy0.0546875
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))
accuracy13.252618185826405
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
accuracy16.304941051968022
(/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.09765625
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
accuracy22.609224701466644
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))
accuracy0
(+.f64 (+.f64 y x) z)
accuracy0
(+.f64 y x)
accuracy15.217881704805617
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
accuracy0
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x))
accuracy0.05859375
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x))
accuracy0.0625
(/.f64 (sin.f64 y) x)
accuracy4.763956666812257
(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)
Samples
102.0ms124×0invalid
86.0ms132×0valid
Compiler

Compiled 198 to 46 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-div: 60.0ms (47.8% of total)
ival-add: 18.0ms (14.3% of total)
ival-pow: 18.0ms (14.3% of total)
ival-mult: 13.0ms (10.3% of total)
ival-cos: 7.0ms (5.6% of total)
ival-sin: 6.0ms (4.8% of total)
ival-sub: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory
8.7MiB live, 88.4MiB allocated
Counts
19 → 528
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) (patch (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) (patch #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) (patch #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 y x) z) (patch (+.f64 (+.f64 y x) z) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (patch (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) #<representation binary64>) () ())
#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x z) (-.f64 z x)) (patch (*.f64 (+.f64 x z) (-.f64 z x)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) (patch (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) (patch (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) (patch (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) (patch (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) (patch #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) (patch #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) (patch #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (taylor 0 z) (#s(alt #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) (patch #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) x) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin y) x) (/ (* z (cos y)) x)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin y) x) (/ (* z (cos y)) x)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin y) x) (/ (* z (cos y)) x)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) (patch #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
((+ (* (+ (* (cos y) (/ z x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* (cos y) (/ z x)) (/ (sin y) x)) (cos y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+ (+ y x) z) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ (- z x) (* (+ x z) (- z x)))) (/ (- z x) (* (+ x z) (- z x))) (+ (+ x (sin y)) (* z (cos y))) (- z x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* (+ x z) (- z x)))
4.0ms
z
@inf
((+ (* (+ (* (cos y) (/ z x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* (cos y) (/ z x)) (/ (sin y) x)) (cos y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+ (+ y x) z) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ (- z x) (* (+ x z) (- z x)))) (/ (- z x) (* (+ x z) (- z x))) (+ (+ x (sin y)) (* z (cos y))) (- z x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* (+ x z) (- z x)))
3.0ms
x
@-inf
((+ (* (+ (* (cos y) (/ z x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* (cos y) (/ z x)) (/ (sin y) x)) (cos y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+ (+ y x) z) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ (- z x) (* (+ x z) (- z x)))) (/ (- z x) (* (+ x z) (- z x))) (+ (+ x (sin y)) (* z (cos y))) (- z x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* (+ x z) (- z x)))
2.0ms
y
@-inf
((+ (* (+ (* (cos y) (/ z x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* (cos y) (/ z x)) (/ (sin y) x)) (cos y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+ (+ y x) z) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ (- z x) (* (+ x z) (- z x)))) (/ (- z x) (* (+ x z) (- z x))) (+ (+ x (sin y)) (* z (cos y))) (- z x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* (+ x z) (- z x)))
2.0ms
y
@inf
((+ (* (+ (* (cos y) (/ z x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* (cos y) (/ z x)) (/ (sin y) x)) (cos y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+ (+ y x) z) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ (- z x) (* (+ x z) (- z x)))) (/ (- z x) (* (+ x z) (- z x))) (+ (+ x (sin y)) (* z (cos y))) (- z x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* (+ x z) (- z x)))

simplify191.0ms (2.5%)

Memory
28.8MiB live, 256.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08027748
125287376
083156879
Stop Event
iter limit
node limit
Counts
528 → 491
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))))
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))
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x
(+ x z)
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z
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z
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(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))
1
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x
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(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
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(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
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(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
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(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)))
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)))
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)))
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)))
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(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(cos y)
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(cos y)
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y
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(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
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(+ x (+ (sin y) (* z (cos y))))
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(+ x (sin y))
(+ x (sin y))
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(sin y)
(sin y)
(sin y)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)))
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)))
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)))
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(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))))
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 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 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ 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) (* 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))))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin 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 (cos y))))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(/ (+ (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) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ y z)
(+ x (+ y z))
(+ x (+ y z))
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y
(+ x y)
(+ x y)
(+ x y)
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(/ 1 (+ (sin y) (* z (cos y))))
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y)))))
(+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
z
(+ x z)
(+ x z)
(+ x z)
(/ 1 z)
(+ (* -1 (/ x (pow z 2))) (/ 1 z))
(+ (* x (- (/ x (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))
(+ (* x (- (* x (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(pow z 2)
(+ (* x (+ z (* -1 z))) (pow z 2))
(+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))
(+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x))))
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))))
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
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(* x (+ 1 (+ (/ y x) (/ z x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x)
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
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(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(/ 1 x)
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(/ (- (+ 1 (* -1 (/ (pow z 3) (pow x 3)))) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))) x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* -1 x)
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x
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x
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(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
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x
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
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x
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(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1)))
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))
x
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(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
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(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(/ 1 x)
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(/ 1 x)
(* -1 (/ (- (/ z x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))
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))
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))
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(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 x)) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 x)) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 x)) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x))

rewrite215.0ms (2.8%)

Memory
-32.2MiB live, 290.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050217
072215
1376187
22993187
09301179
Stop Event
iter limit
node limit
iter limit
Counts
19 → 502
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x))
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x))
(cos.f64 y)
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
(+.f64 (+.f64 y x) z)
(+.f64 y x)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))
(/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
(-.f64 z x)
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
#s(approx (+ (sin y) x) (sin.f64 y))
(sin.f64 y)
(/.f64 (sin.f64 y) x)
(*.f64 (+.f64 x z) (-.f64 z x))
Outputs
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eval178.0ms (2.3%)

Memory
6.9MiB live, 489.9MiB allocated
Compiler

Compiled 21 143 to 3 003 computations (85.8% saved)

prune126.0ms (1.6%)

Memory
11.1MiB live, 213.1MiB allocated
Pruning

44 alts after pruning (36 fresh and 8 done)

PrunedKeptTotal
New1 042171 059
Fresh61925
Picked235
Done055
Total1 050441 094
Accuracy
100.0%
Counts
1 094 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.5%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
63.5%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
50.7%
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/4 binary64)) #s(literal -4 binary64))
51.2%
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #s(literal 2 binary64))
26.0%
(pow.f64 #s(approx (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) #s(literal -2 binary64))
47.4%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)))
47.4%
(/.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))))
38.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
51.0%
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
47.5%
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (*.f64 (cos.f64 y) z))
30.0%
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y)))
46.7%
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64)))))
36.7%
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64)))))
86.6%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x))
86.5%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x))
53.9%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x x))
86.5%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (/.f64 (sin.f64 y) x)) x x))
58.0%
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x))
30.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
27.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.f64 z x)))))
27.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))))
19.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x))))))
25.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x)))))
19.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x)))))
13.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z)))))
20.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z)))))
29.6%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
19.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
37.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))
27.4%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))
27.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))))
54.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
63.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
28.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) #s(literal -1 binary64))))
24.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.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)))
25.4%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
15.5%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))))
30.5%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
18.6%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
30.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))
52.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
52.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)))))
27.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z)))))
27.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64)))))
Compiler

Compiled 1 524 to 729 computations (52.2% saved)

regimes96.0ms (1.2%)

Memory
-20.4MiB live, 256.6MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.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))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
#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))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (*.f64 (cos.f64 y) z))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x))
(/.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 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(pow.f64 #s(approx (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) #s(literal -2 binary64))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (/.f64 (sin.f64 y) x)) x x))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #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)))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/4 binary64)) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (cos.f64 y) z))
(/.f64 #s(approx (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) #s(literal -1 binary64)))
(/.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 (cos.f64 y) z (+.f64 (sin.f64 y) x))
Calls

4 calls:

26.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
23.0ms
y
22.0ms
z
21.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes69.0ms (0.9%)

Memory
24.8MiB live, 153.5MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.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))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
#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))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (*.f64 (cos.f64 y) z))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x))
(/.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 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
Outputs
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x))
Calls

4 calls:

18.0ms
x
17.0ms
z
16.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
15.0ms
y
Results
AccuracySegmentsBranch
96.8%3x
85.4%5y
92.8%5z
87.9%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes33.0ms (0.4%)

Memory
-0.7MiB live, 77.3MiB allocated
Counts
52 → 5
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.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))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
#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))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (*.f64 (cos.f64 y) z))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x))
(/.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 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x x))
Outputs
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

2 calls:

15.0ms
z
15.0ms
x
Results
AccuracySegmentsBranch
92.8%5z
84.1%4x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes17.0ms (0.2%)

Memory
4.2MiB live, 46.0MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.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))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
#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))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (*.f64 (cos.f64 y) z))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))
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

1 calls:

15.0ms
z
Results
AccuracySegmentsBranch
87.7%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes57.0ms (0.7%)

Memory
-28.4MiB live, 128.5MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.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))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
Calls

4 calls:

14.0ms
y
14.0ms
x
13.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
12.0ms
z
Results
AccuracySegmentsBranch
78.2%3y
70.6%4x
77.1%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
77.9%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes93.0ms (1.2%)

Memory
7.3MiB live, 85.9MiB allocated
Counts
42 → 5
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.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))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

3 calls:

41.0ms
z
39.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
11.0ms
y
Results
AccuracySegmentsBranch
79.4%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
63.8%1z
67.1%3y
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes42.0ms (0.5%)

Memory
16.5MiB live, 94.8MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.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))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.f64 z x)))))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

3 calls:

15.0ms
y
13.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
11.0ms
x
Results
AccuracySegmentsBranch
67.1%3y
63.8%1x
63.8%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes11.0ms (0.1%)

Memory
-11.9MiB live, 26.6MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x)))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z)))))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

2 calls:

6.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
63.8%1x
63.8%1y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB 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 (+ (sin y) x) (+.f64 y x)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
Calls

4 calls:

1.0ms
y
1.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
30.5%1z
30.5%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
30.5%1x
30.5%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch32.0ms (0.4%)

Memory
2.2MiB live, 79.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
2.5861155662149294e-21
4.834593026432163e-20
14.0ms
-5.831309948127486e-21
-1.694511160162328e-21
Samples
21.0ms192×0valid
Compiler

Compiled 228 to 230 computations (-0.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (38.6% of total)
ival-add: 4.0ms (25.7% of total)
ival-cos: 4.0ms (25.7% of total)
ival-mult: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch116.0ms (1.5%)

Memory
-7.2MiB live, 117.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
6.80915701537396e+90
9.529698317608487e+92
16.0ms
2.228418659664289e-29
1.803594432878996e-25
36.0ms
-2.7846128847675262e-31
-1.436828399003136e-40
41.0ms
-3.41881474156295e+225
-5.70595069079777e+224
Samples
61.0ms480×0valid
Compiler

Compiled 510 to 530 computations (-3.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 21.0ms (44% of total)
ival-sin: 12.0ms (25.2% of total)
ival-cos: 10.0ms (21% of total)
ival-add: 5.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.5%)

Memory
-14.6MiB live, 65.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
2.6843302674187987e+47
2.086839007742528e+48
20.0ms
-2.2761150254454033e+46
-5.603379103429511e+41
Samples
29.0ms224×0valid
Compiler

Compiled 152 to 210 computations (-38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 9.0ms (50.1% of total)
ival-cos: 5.0ms (27.8% of total)
ival-add: 2.0ms (11.1% of total)
ival-mult: 2.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch47.0ms (0.6%)

Memory
28.4MiB live, 103.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.076091930251461e-5
65915.798209098
26.0ms
-3.1207669247261454e+24
-16872888355427774000.0
Samples
28.0ms304×0valid
Compiler

Compiled 335 to 356 computations (-6.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 9.0ms (44.4% of total)
ival-cos: 5.0ms (24.7% of total)
ival-add: 3.0ms (14.8% of total)
ival-mult: 2.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
-34.4MiB live, 3.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9885349450150186
858.0506639403094
0.0ms
4.356651150347303e-9
0.06488926701048245
0.0ms
-0.13512614911062898
-0.00035580171140786566
3.0ms
-1414.361909237017
-2.651079807717169
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch25.0ms (0.3%)

Memory
2.4MiB live, 47.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
243888559218831.28
8501792991196064.0
3.0ms
-3.1207669247261454e+24
-16872888355427774000.0
Samples
14.0ms128×0valid
Compiler

Compiled 268 to 286 computations (-6.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 4.0ms (39.2% of total)
ival-sin: 4.0ms (39.2% of total)
ival-add: 1.0ms (9.8% of total)
ival-mult: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify31.0ms (0.4%)

Memory
-0.5MiB live, 75.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103632
1114632
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(if (<=.f64 x #s(literal -15057660889751/2596148429267413814265248164610048 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) (if (<=.f64 x #s(literal 1536919870126309/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x))))
(if (<=.f64 z #s(literal -920000000000000078831622865325876285087883222654306262167828017238728213981269006428357506252260987752993596303383953985545769398007131391645547477434078685940732000931022671888315043778052564711169426822197748458337775648768 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) (if (<=.f64 z #s(literal -1883966954371867/11417981541647679048466287755595961091061972992 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) (if (<=.f64 z #s(literal 4529838868451533/348449143727040986586495598010130648530944 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 949999999999999954364365197901080201947539902188411456249696600638887942652009049459410337792 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 z #s(literal -32000000000000001436342805698429337137577984 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 269999999999999995612449939249236946593391837184 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 -17000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 3098476543630901/72057594037927936 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))))
(if (<=.f64 y #s(literal -18000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 750000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
Outputs
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -15057660889751/2596148429267413814265248164610048 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) (if (<=.f64 x #s(literal 1536919870126309/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x))))
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#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 x y)))

soundness1.3s (17%)

Memory
-164.0MiB live, 856.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07468087
124587623
082727093
0109647
1310643
2846633
32177631
44214631
57324631
08046578
0821
01321
14321
236221
3554821
0832020
07098261
121987915
277557847
081167313
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 432 to 230 computations (46.8% saved)

preprocess115.0ms (1.5%)

Memory
4.5MiB live, 138.0MiB allocated
Compiler

Compiled 540 to 176 computations (67.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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