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
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (16.6%)

Memory
22.4MiB live, 2 251.4MiB allocated
Samples
1.0s8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 727.0ms
ival-sin: 346.0ms (47.6% of total)
ival-cos: 213.0ms (29.3% of total)
ival-add: 99.0ms (13.6% of total)
ival-mult: 60.0ms (8.3% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 4.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain135.0ms (1.7%)

Memory
5.2MiB live, 161.4MiB 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
72.0ms512×0valid
Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-sin: 30.0ms (54.1% of total)
ival-cos: 12.0ms (21.6% of total)
ival-mult: 7.0ms (12.6% of total)
ival-add: 5.0ms (9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess84.0ms (1.1%)

Memory
-15.7MiB live, 57.6MiB 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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
4.6MiB live, 4.6MiB 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)

localize41.0ms (0.5%)

Memory
-18.3MiB live, 64.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.00390625
(+.f64 x (sin.f64 y))
accuracy0.00390625
(sin.f64 y)
accuracy0.1484375
(*.f64 z (cos.f64 y))
Samples
30.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 7.0ms (40.1% of total)
ival-cos: 6.0ms (34.4% of total)
ival-add: 3.0ms (17.2% of total)
ival-mult: 2.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB 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))

simplify166.0ms (2.2%)

Memory
1.7MiB live, 194.3MiB 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)

rewrite168.0ms (2.2%)

Memory
-12.1MiB live, 193.1MiB 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>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval47.0ms (0.6%)

Memory
-1.6MiB live, 79.9MiB allocated
Compiler

Compiled 5 953 to 603 computations (89.9% saved)

prune16.0ms (0.2%)

Memory
2.8MiB live, 41.4MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New25815273
Fresh000
Picked101
Done000
Total25915274
Accuracy
100.0%
Counts
274 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.3%
(fma.f64 (pow.f64 (-.f64 x (sin.f64 y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (cos.f64 y) z))
99.9%
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
22.9%
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
99.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
72.2%
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))
57.0%
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y)))
99.7%
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))))
53.8%
(*.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)))
53.1%
#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)))
56.1%
#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)))
57.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
62.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
57.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
66.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
44.4%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Compiler

Compiled 422 to 298 computations (29.4% saved)

simplify26.0ms (0.3%)

Memory
-0.0MiB live, 37.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
cost-diff0
(*.f64 z (cos.f64 y))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (+ x (sin y)) (+.f64 y x))
cost-diff128
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))
cost-diff0
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
cost-diff0
(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))
cost-diff0
#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)))
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
029178
047172
173172
2104172
3238172
4513172
5740172
6788172
7875172
8875172
0875171
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(cos.f64 y)
y
z
(+.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
(+.f64 z x)
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)))
(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))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
#s(literal -1/6 binary64)
y
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
#s(literal 1 binary64)
(+.f64 z x)
x
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))
#s(approx (+ x (sin y)) (+.f64 y x))
(+.f64 y x)
y
x
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(cos.f64 y)
y
z
(+.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(literal -1 binary64)
Outputs
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 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))) (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 (+ (+ 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 x z)))
(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))
(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 x z))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
#s(literal -1/6 binary64)
y
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
#s(literal 1 binary64)
(+.f64 z x)
(+.f64 x z)
x
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y)))
#s(approx (+ x (sin y)) (+.f64 y x))
#s(approx (+ x (sin y)) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
x
(*.f64 z (cos.f64 y))
z
(cos.f64 y)
(/.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)

localize100.0ms (1.3%)

Memory
-1.0MiB live, 201.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 y)
accuracy0.05859375
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
accuracy0.08984375
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))
accuracy0.19921875
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
accuracy0
(+.f64 y x)
accuracy0
(cos.f64 y)
accuracy0.1484375
(*.f64 z (cos.f64 y))
accuracy22.71066437838302
#s(approx (+ x (sin y)) (+.f64 y x))
accuracy0.02734375
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
accuracy0.03515625
(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))
accuracy0.19140625
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
accuracy29.736615564780042
#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)))
accuracy0
(+.f64 z x)
accuracy21.13724244909366
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
accuracy0
(cos.f64 y)
accuracy0.00390625
(+.f64 (sin.f64 y) x)
accuracy0.00390625
(sin.f64 y)
accuracy0.05859375
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
Samples
76.0ms255×0valid
1.0ms5exit
Compiler

Compiled 315 to 52 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-add: 12.0ms (20.4% of total)
ival-pow: 12.0ms (20.4% of total)
ival-mult: 10.0ms (17% of total)
ival-sin: 9.0ms (15.3% of total)
ival-cos: 8.0ms (13.6% of total)
const: 4.0ms (6.8% of total)
ival-div: 2.0ms (3.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory
13.1MiB live, 50.7MiB allocated
Counts
16 → 444
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))) (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))) (patch #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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.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>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* 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 (- (* -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>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
3.0ms
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))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1))
2.0ms
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))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1))
2.0ms
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))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1))
2.0ms
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))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1))
2.0ms
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))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1))

simplify218.0ms (2.8%)

Memory
9.4MiB live, 169.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04014590
111954489
237644360
082304014
Stop Event
iter limit
node limit
Counts
444 → 412
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 (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(* -1/6 y)
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(/ 1 (+ x (sin y)))
(+ (* -1 (/ (* z (cos y)) (pow (+ x (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))))
(* 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))))
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 (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* -1/2 z)
(* z (- (* -1/6 (/ y z)) 1/2))
(* z (- (* -1/6 (/ y z)) 1/2))
(* z (- (* -1/6 (/ y z)) 1/2))
(* 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))
(* 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))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z)
(/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z)
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ 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))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(/ 1 (* z (cos y)))
(* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
x
(+ 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))))
(+ 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 z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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)))))))
1
(+ 1 (* -1/2 (* y z)))
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))
(* -1/2 z)
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 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)))))
x
(+ x y)
(+ x y)
(+ x y)
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(/ 1 (+ x z))
(+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z)))
(+ (* y (- (* y (- (/ 1 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z)))
(+ (* y (- (* y (- (+ (* y (- (+ (* -1/2 (/ z (pow (+ x z) 3))) (* 1/6 (/ 1 (pow (+ x z) 2)))) (+ (* 1/2 (/ z (pow (+ x z) 3))) (/ 1 (pow (+ x z) 4))))) (/ 1 (pow (+ x z) 3))) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(cos y)
(cos y)
(cos y)
(cos y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ 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))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* -1/6 y)
(* y (- (* -1/2 (/ z y)) 1/6))
(* y (- (* -1/2 (/ z y)) 1/6))
(* y (- (* -1/2 (/ z y)) 1/6))
(+ 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))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* 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))))
(cos y)
(cos y)
(cos y)
(cos y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ 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))))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))
(* -1/6 y)
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(* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* y (+ 1/6 (* 1/2 (/ z 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))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* 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)))))
(+ (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))))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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))
y
(+ x y)
(+ x y)
(+ x y)
(+ (sin y) (* z (cos y)))
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(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
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(+ (* 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)))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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x
(* x (+ 1 (/ (sin y) x)))
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x
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x
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x
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x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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x
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(/ 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
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
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x
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(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
x
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(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
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x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
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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 (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 (/ (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 (/ (+ (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))
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))
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(+.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)
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(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
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(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
(* -1/6 y)
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(+ (* -1/2 z) (* -1/6 y))
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(+ (* -1/2 z) (* -1/6 y))
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y))
(+ x (sin y))
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(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
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(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 (cos.f64 y) (/.f64 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 (/.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)))
(+ (* 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 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 z (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)))
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(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
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(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
z
(* z (+ 1 (/ x z)))
(fma.f64 (/.f64 x z) z z)
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(fma.f64 (/.f64 x z) z z)
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(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
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(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
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(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) (/.f64 x z))) z z)
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(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) (/.f64 x z))) z z)
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(* -1/2 (* y z))
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(fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
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(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
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(* -1/2 z)
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(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)
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(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)
(* z (cos y))
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(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (cos y))
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(* z (cos y))
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x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x)
x
(* x (+ 1 (/ (sin y) x)))
(fma.f64 (/.f64 (sin.f64 y) x) x x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 (/.f64 (sin.f64 y) x) x x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 (/.f64 (sin.f64 y) x) x x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x)
(/ 1 x)
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(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) x)
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal 1 binary64)) 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)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 3 binary64)))) x)
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(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x))) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x)) (neg.f64 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))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal 1 binary64)) x)

rewrite247.0ms (3.2%)

Memory
8.0MiB live, 165.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029135
047129
1208129
21622129
08202128
Stop Event
iter limit
node limit
iter limit
Counts
16 → 485
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))) (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)))
(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))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))
#s(approx (+ x (sin y)) (+.f64 y x))
(+.f64 y x)
(*.f64 z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))
Outputs
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eval248.0ms (3.2%)

Memory
-6.6MiB live, 223.4MiB allocated
Compiler

Compiled 26 686 to 2 265 computations (91.5% saved)

prune93.0ms (1.2%)

Memory
0.3MiB live, 85.7MiB allocated
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1 135201 155
Fresh8210
Picked325
Done000
Total1 146241 170
Accuracy
100.0%
Counts
1 170 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
99.8%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
72.2%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
57.0%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
53.1%
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
22.9%
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
53.1%
(/.f64 #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)))
44.3%
(/.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)))
66.5%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
43.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
52.8%
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
57.0%
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y)))
85.5%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x))
62.1%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
57.2%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
44.4%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
54.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
52.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
48.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
32.4%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
66.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
23.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
59.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
58.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
Compiler

Compiled 524 to 422 computations (19.5% saved)

simplify223.0ms (2.9%)

Memory
15.5MiB live, 91.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 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
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (+ x (sin y)) (+.f64 y x))
cost-diff0
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
cost-diff0
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
cost-diff0
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
cost-diff0
(+.f64 z y)
cost-diff0
(+.f64 (+.f64 z y) x)
cost-diff0
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
cost-diff0
#s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
cost-diff896
(fma.f64 (/.f64 (sin.f64 y) x) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048277
073277
1130273
2207270
3362264
4505264
5567264
6774264
71250264
82470264
93344264
104316264
115570264
126767264
137162264
147275264
157356264
167447264
177547264
08216256
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
(cos.f64 y)
y
z
#s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))
(fma.f64 (/.f64 (sin.f64 y) x) x x)
(/.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
(+.f64 (+.f64 z y) x)
(+.f64 z y)
z
y
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(*.f64 z y)
z
y
#s(literal -1/2 binary64)
(+.f64 z x)
x
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ x (sin y)) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
z
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
#s(literal -1/2 binary64)
(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
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
(fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x (sin.f64 y))))
(cos.f64 y)
y
z
#s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))
#s(approx (+ x (sin y)) (+.f64 x (sin.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) x) x x)
(+.f64 x (sin.f64 y))
(/.f64 (sin.f64 y) x)
(sin.f64 y)
x
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
(+.f64 (+.f64 z y) x)
(+.f64 z y)
z
y
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) y (+.f64 x z)))
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) y (+.f64 x z))
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(*.f64 z y)
z
y
#s(literal -1/2 binary64)
(+.f64 z x)
(+.f64 x z)
x
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
(+.f64 #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) (*.f64 y y) z)) #s(approx (+ x (sin y)) (+.f64 x y)))
#s(approx (+ x (sin y)) (+.f64 y x))
#s(approx (+ x (sin y)) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
x
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))
#s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) (*.f64 y y) z))
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) (*.f64 y y) z)
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
z
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
#s(literal -1/2 binary64)
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
(fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (sin.f64 y)))
(cos.f64 y)
y
z
#s(approx (+ (sin y) x) (sin.f64 y))
#s(approx (+ x (sin y)) (sin.f64 y))
(sin.f64 y)

localize284.0ms (3.7%)

Memory
-39.9MiB live, 168.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.00390625
(sin.f64 y)
accuracy0.05859375
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
accuracy40.710450107461625
#s(approx (+ (sin y) x) (sin.f64 y))
accuracy0.10546875
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy1.9272789949988687
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
accuracy22.950278489044084
#s(approx (+ x (sin y)) (+.f64 y x))
accuracy31.47523583253329
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))
accuracy0.00390625
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
accuracy0.03515625
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))
accuracy29.986066241984886
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
accuracy41.156600686676384
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
accuracy0
(+.f64 (+.f64 z y) x)
accuracy0
(+.f64 z y)
accuracy24.247640239953682
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
accuracy0.00390625
(sin.f64 y)
accuracy0.05859375
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
accuracy0.078125
(fma.f64 (/.f64 (sin.f64 y) x) x x)
accuracy0.078125
(/.f64 (sin.f64 y) x)
Samples
246.0ms256×0valid
Compiler

Compiled 378 to 72 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-add: 74.0ms (40.2% of total)
ival-mult: 63.0ms (34.2% of total)
const: 25.0ms (13.6% of total)
ival-cos: 7.0ms (3.8% of total)
ival-sin: 6.0ms (3.3% of total)
ival-div: 4.0ms (2.2% of total)
ival-pow: 4.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series54.0ms (0.7%)

Memory
12.4MiB live, 51.5MiB allocated
Counts
21 → 552
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (sin.f64 y) x) x x) (patch (fma.f64 (/.f64 (sin.f64 y) x) x x) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) (patch #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) (patch #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) (patch (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) (patch #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) #<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 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (patch (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 x (taylor -inf x) (#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<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 (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
4.0ms
y
@0
((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* z y) -1/2) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* 1/24 (* y y)) -1/2))
3.0ms
z
@0
((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* z y) -1/2) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* 1/24 (* y y)) -1/2))
2.0ms
z
@-inf
((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* z y) -1/2) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* 1/24 (* y y)) -1/2))
2.0ms
z
@inf
((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* z y) -1/2) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* 1/24 (* y y)) -1/2))
2.0ms
y
@inf
((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* z y) -1/2) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* 1/24 (* y y)) -1/2))

simplify185.0ms (2.4%)

Memory
5.0MiB live, 81.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02754442
18254339
224544229
357684059
083173717
Stop Event
iter limit
node limit
Counts
552 → 508
Calls
Call 1
Inputs
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
y
(+ y z)
(+ y z)
(+ y z)
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* 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))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ 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))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* 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))))
(* 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 (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* 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))
(* 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 (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
x
(+ x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
x
(+ x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+ 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 z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
z
(+ y z)
(+ y z)
(+ y z)
(+ 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 z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
1
(+ 1 (* -1/2 (* y z)))
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(+ 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)))))
x
(+ x y)
(+ x y)
(+ x y)
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(+ 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))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(+ x (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))))
(cos y)
(cos y)
(cos y)
(cos y)
(+ x (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))))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z 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))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* 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)
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(+ x (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))))
(cos y)
(cos y)
(cos y)
(cos y)
(+ x (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))))
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 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z 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))))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* 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)
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(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))))
(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))))
(+ y z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y 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 (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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))
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))))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin 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 (/ (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 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ 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 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) 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))))
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(/ (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)))
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
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(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y 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 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 (/ (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 (/ (+ (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)
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 y)
(+.f64 y x)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (* y (+ 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 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z y)
(* z (+ 1 (+ (/ x z) (/ y z))))
(fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z y)
(* z (+ 1 (+ (/ x z) (/ y z))))
(fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z y)
z
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(fma.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) (/.f64 x z)) z z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(fma.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) (/.f64 x z)) z z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(fma.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) (/.f64 x z)) z z)
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(fma.f64 (fma.f64 (*.f64 (/.f64 y z) y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(fma.f64 (fma.f64 (*.f64 (/.f64 y z) y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(fma.f64 (fma.f64 (*.f64 (/.f64 y z) y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (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))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (fma.f64 #s(literal 1 binary64) (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (fma.f64 #s(literal 1 binary64) (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (fma.f64 #s(literal 1 binary64) (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (fma.f64 #s(literal 1 binary64) (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (fma.f64 #s(literal 1 binary64) (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 (cos.f64 y) z (fma.f64 #s(literal 1 binary64) (sin.f64 y) x))
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(fma.f64 (/.f64 (+.f64 y x) z) z z)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(fma.f64 (/.f64 (+.f64 y x) z) z z)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
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(/ (sin y) x)
(/.f64 (sin.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(fma.f64 (/.f64 (+.f64 z y) x) x x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(fma.f64 (/.f64 (+.f64 z y) x) x x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(fma.f64 (/.f64 (+.f64 z y) x) x x)
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) x x)
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) x x)
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) x x)
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(fma.f64 #s(literal 1 binary64) (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)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)

rewrite214.0ms (2.8%)

Memory
22.7MiB live, 176.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048234
073232
1344230
22675227
08503216
Stop Event
iter limit
node limit
iter limit
Counts
21 → 301
Calls
Call 1
Inputs
(fma.f64 (/.f64 (sin.f64 y) x) x x)
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
(cos.f64 y)
#s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
(+.f64 (+.f64 z y) x)
(+.f64 z y)
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ x (sin y)) (+.f64 y x))
(+.f64 y x)
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))
(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 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
Outputs
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eval206.0ms (2.7%)

Memory
-35.0MiB live, 176.8MiB allocated
Compiler

Compiled 14 813 to 1 587 computations (89.3% saved)

prune63.0ms (0.8%)

Memory
25.4MiB live, 65.3MiB allocated
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New8286834
Fresh21517
Picked235
Done022
Total83226858
Accuracy
100.0%
Counts
858 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
72.2%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
57.0%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
79.7%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
53.1%
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
22.9%
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
53.1%
(/.f64 #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)))
44.3%
(/.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)))
66.5%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
43.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
57.0%
(+.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (sin.f64 y)))
52.8%
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
52.4%
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
85.5%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))))
44.7%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) x))
57.2%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
44.4%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
40.9%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
54.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
52.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
48.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
32.4%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
66.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
23.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
59.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
58.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
Compiler

Compiled 550 to 440 computations (20% saved)

simplify227.0ms (2.9%)

Memory
0.1MiB live, 119.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 y))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
cost-diff0
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
cost-diff0
(/.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)))
cost-diff0
#s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (+ x (sin y)) (+.f64 y x))
cost-diff0
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
cost-diff0
#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y))
cost-diff0
(fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (+ (+ z y) x) (+.f64 y x))
cost-diff0
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
cost-diff0
(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
cost-diff0
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))))
cost-diff320
(*.f64 #s(literal 1 binary64) (sin.f64 y))
cost-diff896
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054367
080361
1127353
2186353
3311353
4472349
5557349
6908349
72195349
82307349
92314349
102320349
112320349
123635349
133955349
144025349
154068349
164100349
174134349
184170349
194237349
204277349
214319349
224363349
236007349
246472349
256974349
267403349
277951349
08002333
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))))
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
z
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(sin.f64 y)
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#s(approx (+ (+ z y) x) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
(fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y))
(*.f64 #s(literal -1/6 binary64) y)
#s(literal -1/6 binary64)
y
#s(literal 1 binary64)
(+.f64 z x)
z
x
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
#s(approx (+ x (sin y)) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))
(fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)
(*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))))
z
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/24 binary64) (*.f64 y y))
#s(literal 1/24 binary64)
(*.f64 y y)
(/.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(literal 1 binary64)
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(cos.f64 y)
y
z
Outputs
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)))
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
(fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64))
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
z
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(sin.f64 y)
(sin.f64 y)
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 x y)))
#s(approx (+ (+ z y) x) (+.f64 y x))
#s(approx (+ (+ z y) x) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
(fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y))
(*.f64 #s(literal -1/6 binary64) y)
#s(literal -1/6 binary64)
y
#s(literal 1 binary64)
(+.f64 z x)
z
x
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
(+.f64 #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z)) #s(approx (+ x (sin y)) (+.f64 x y)))
#s(approx (+ x (sin y)) (+.f64 y x))
#s(approx (+ x (sin y)) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
x
#s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))
#s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))
(fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)
(fma.f64 (*.f64 (*.f64 y y) z) #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z)
(*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))))
(*.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z)
z
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
(/.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(literal 1 binary64)
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(cos.f64 y)
y
z

localize268.0ms (3.5%)

Memory
-19.9MiB live, 177.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
accuracy0.1171875
(/.f64 #s(literal 1 binary64) (cos.f64 y))
accuracy0.19921875
(/.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)))
accuracy35.480364643879255
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
accuracy1.9272789949988687
(*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))))
accuracy22.71066437838302
#s(approx (+ x (sin y)) (+.f64 y x))
accuracy31.092986794701535
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))
accuracy31.238658378032653
#s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))
accuracy0.03515625
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
accuracy0.3671875
(*.f64 #s(literal -1/6 binary64) y)
accuracy29.736615564780042
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
accuracy31.755986564114657
#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y))
accuracy0
(+.f64 y x)
accuracy20.427762548692986
#s(approx (+ (+ z y) x) (+.f64 y x))
accuracy24.03923293261812
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
accuracy0.00390625
(sin.f64 y)
accuracy0.0703125
(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
accuracy0.14453125
(/.f64 (cos.f64 y) x)
accuracy9.016430373967419
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))
Samples
223.0ms255×0valid
2.0ms5exit
Compiler

Compiled 455 to 79 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 203.0ms
ival-sin: 124.0ms (61% of total)
ival-mult: 34.0ms (16.7% of total)
ival-add: 17.0ms (8.4% of total)
const: 10.0ms (4.9% of total)
ival-div: 7.0ms (3.4% of total)
ival-cos: 7.0ms (3.4% of total)
ival-pow: 4.0ms (2% of total)
exact: 1.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series79.0ms (1%)

Memory
-0.9MiB live, 75.6MiB allocated
Counts
23 → 612
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) (patch (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1 binary64) (sin.f64 y)) (patch (*.f64 #s(literal 1 binary64) (sin.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ z y) x) (+.f64 y x)) (patch #s(approx (+ (+ z y) x) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) (patch #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)) (patch #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (patch #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) (patch (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 y)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) y) (patch (*.f64 #s(literal -1/6 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (patch #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (patch (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) #<representation binary64>) () ())
Outputs
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) (patch (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) (patch (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) (patch (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) (patch (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (patch #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (patch #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) #<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 #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (patch #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) #<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 #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (patch #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
21.0ms
y
@-inf
((+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (* 1 (sin y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (* (/ (cos y) x) z) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (/ (cos y) x) (sin y) (* -1/6 y) (+ (* 1/24 (* y y)) -1/2) (* z (+ (* 1/24 (* y y)) -1/2)))
4.0ms
y
@inf
((+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (* 1 (sin y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (* (/ (cos y) x) z) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (/ (cos y) x) (sin y) (* -1/6 y) (+ (* 1/24 (* y y)) -1/2) (* z (+ (* 1/24 (* y y)) -1/2)))
3.0ms
z
@-inf
((+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (* 1 (sin y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (* (/ (cos y) x) z) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (/ (cos y) x) (sin y) (* -1/6 y) (+ (* 1/24 (* y y)) -1/2) (* z (+ (* 1/24 (* y y)) -1/2)))
2.0ms
z
@0
((+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (* 1 (sin y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (* (/ (cos y) x) z) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (/ (cos y) x) (sin y) (* -1/6 y) (+ (* 1/24 (* y y)) -1/2) (* z (+ (* 1/24 (* y y)) -1/2)))
2.0ms
z
@inf
((+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (* 1 (sin y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (* (/ (cos y) x) z) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (/ 1 (cos y)) z) (/ 1 (cos y)) (/ (cos y) x) (sin y) (* -1/6 y) (+ (* 1/24 (* y y)) -1/2) (* z (+ (* 1/24 (* y y)) -1/2)))

simplify278.0ms (3.6%)

Memory
1.7MiB live, 246.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04876081
114755969
246345837
086975379
Stop Event
iter limit
node limit
Counts
612 → 580
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))))
1
(+ 1 (/ (* z (cos y)) x))
(+ 1 (/ (* z (cos y)) x))
(+ 1 (/ (* 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 y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(* -1/6 y)
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(/ 1 (+ x (sin y)))
(+ (* -1 (/ (* z (cos y)) (pow (+ x (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))))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* 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))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(/ (* z (cos y)) x)
(* z (+ (/ 1 z) (/ (cos y) x)))
(* z (+ (/ 1 z) (/ (cos y) x)))
(* z (+ (/ 1 z) (/ (cos y) x)))
(* 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) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ 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))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* -1/2 z)
(* z (- (* -1/6 (/ y z)) 1/2))
(* z (- (* -1/6 (/ y z)) 1/2))
(* z (- (* -1/6 (/ y z)) 1/2))
(* 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))
(* 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))))
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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)))
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 (/ (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)))
(/ 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))
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (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))
1
#s(literal 1 binary64)
(+ 1 (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
(+ 1 (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
(+ 1 (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x y)
(+.f64 y x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z 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 (* y (+ 1 (* -1/6 (pow y 2)))))
(+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(+ (* -1/2 z) (* -1/6 y))
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y))
(+ (* -1/2 z) (* -1/6 y))
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y))
(+ (* -1/2 z) (* -1/6 y))
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ 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 (cos.f64 y) (/.f64 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 (/.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)))
(+ (* 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 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 z (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)))
(/ 1 (* z (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
(/ 1 (* z (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
(/ 1 (* z (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
(/ 1 (* z (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(/ (* z (cos y)) x)
(/.f64 (*.f64 (cos.f64 y) z) x)
(* z (+ (/ 1 z) (/ (cos y) x)))
(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
(* z (+ (/ 1 z) (/ (cos y) x)))
(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
(* z (+ (/ 1 z) (/ (cos y) x)))
(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z)
(* z (+ 1 (+ (/ x z) (/ y z))))
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z)
(* z (+ 1 (+ (/ x z) (/ y z))))
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) (/.f64 x z))) z z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) (/.f64 x z))) z z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (+.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) (/.f64 x z))) z z)
(* -1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(fma.f64 (fma.f64 (*.f64 y (/.f64 y z)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(fma.f64 (fma.f64 (*.f64 y (/.f64 y z)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(fma.f64 (fma.f64 (*.f64 y (/.f64 y z)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) y)) z #s(literal 1 binary64))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* z (- (* -1/6 (/ y z)) 1/2))
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)
(* z (- (* -1/6 (/ y z)) 1/2))
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)
(* z (- (* -1/6 (/ y z)) 1/2))
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
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(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z)
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(/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z)
(/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (/.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)))) (*.f64 (cos.f64 y) z)) (+.f64 (sin.f64 y) x) (/.f64 (sin.f64 y) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)
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(*.f64 (+.f64 (/.f64 (+.f64 (sin.f64 y) x) z) (cos.f64 y)) z)
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(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x))) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x)) (neg.f64 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))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal 1 binary64)) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)

rewrite174.0ms (2.2%)

Memory
17.1MiB live, 332.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054311
080301
1356297
22657297
08632284
Stop Event
iter limit
node limit
iter limit
Counts
23 → 278
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))))
(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#s(approx (+ (+ z y) x) (+.f64 y x))
(+.f64 y x)
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
(fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
#s(approx (+ x (sin y)) (+.f64 y x))
#s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y 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) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/.f64 (cos.f64 y) x)
(sin.f64 y)
(*.f64 #s(literal -1/6 binary64) y)
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))
(*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))))
Outputs
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eval156.0ms (2%)

Memory
11.8MiB live, 397.9MiB allocated
Compiler

Compiled 18 164 to 1 800 computations (90.1% saved)

prune99.0ms (1.3%)

Memory
5.4MiB live, 131.3MiB allocated
Pruning

28 alts after pruning (19 fresh and 9 done)

PrunedKeptTotal
New8848892
Fresh51116
Picked145
Done055
Total89028918
Accuracy
100.0%
Counts
918 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
72.2%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
57.0%
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
79.7%
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
53.1%
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
34.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) z)))
44.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y))))
44.3%
(/.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)))
24.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z)))
44.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))))
43.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
57.0%
(+.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (sin.f64 y)))
52.8%
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
52.4%
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
57.2%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
44.4%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
21.2%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))))
21.5%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))))
40.9%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
31.5%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
59.3%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
54.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
52.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
48.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
32.4%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
66.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
23.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
58.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
Compiler

Compiled 844 to 439 computations (48% saved)

regimes71.0ms (0.9%)

Memory
-10.4MiB live, 145.4MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) 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)))
(/.f64 #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) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) x))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.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)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))))
(/.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 (+ (+ 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)))
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y))))
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) z)))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(/.f64 #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)))
(fma.f64 (pow.f64 (-.f64 x (sin.f64 y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (cos.f64 y) z))
(*.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 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

24.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.0ms
z
14.0ms
y
14.0ms
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)

regimes46.0ms (0.6%)

Memory
-20.3MiB live, 101.7MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) 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)))
(/.f64 #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) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) x))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.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)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))))
(/.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 (+ (+ 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)))
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
Outputs
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
Calls

4 calls:

12.0ms
y
11.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.0ms
x
10.0ms
z
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)

regimes47.0ms (0.6%)

Memory
-9.2MiB live, 119.5MiB allocated
Counts
36 → 4
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) 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)))
(/.f64 #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) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) x))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.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)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))))
(/.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 (+ (+ 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)))
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (sin.f64 y)))
Outputs
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
Calls

4 calls:

11.0ms
y
11.0ms
z
10.0ms
x
10.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
89.0%3x
86.1%4y
92.2%4z
86.3%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes19.0ms (0.3%)

Memory
12.5MiB live, 51.4MiB allocated
Counts
29 → 6
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) 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)))
(/.f64 #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) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) x))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.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
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
Calls

2 calls:

9.0ms
x
8.0ms
z
Results
AccuracySegmentsBranch
78.7%4x
91.4%6z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes18.0ms (0.2%)

Memory
18.4MiB live, 57.4MiB allocated
Counts
27 → 5
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) 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)))
(/.f64 #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) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) x))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Calls

2 calls:

9.0ms
z
8.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
81.5%6(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
88.2%5z
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes17.0ms (0.2%)

Memory
9.5MiB live, 48.5MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) 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)))
(/.f64 #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) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) x))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

2 calls:

8.0ms
z
7.0ms
y
Results
AccuracySegmentsBranch
78.2%3y
78.9%3z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes45.0ms (0.6%)

Memory
-9.3MiB live, 72.3MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) 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)))
(/.f64 #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) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) x))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

4 calls:

21.0ms
x
7.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
7.0ms
y
7.0ms
z
Results
AccuracySegmentsBranch
72.0%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
71.5%3x
72.4%3y
66.7%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes35.0ms (0.5%)

Memory
-13.4MiB live, 26.1MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) 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)))
(/.f64 #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) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) x))
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.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 (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

1 calls:

34.0ms
y
Results
AccuracySegmentsBranch
72.4%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
-14.4MiB live, 23.8MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) 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)))
(/.f64 #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) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(approx (/ 1 (cos y)) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.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

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
72.3%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.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 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
72.1%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.2%)

Memory
-11.9MiB live, 28.2MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

2 calls:

7.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
4.0ms
y
Results
AccuracySegmentsBranch
72.0%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
72.0%3y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

3 calls:

2.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
66.7%1x
70.8%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
66.7%1y
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes3.0ms (0%)

Memory
12.3MiB live, 12.3MiB 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))) (+.f64 z x))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

2 calls:

1.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
z
Results
AccuracySegmentsBranch
66.7%1z
66.7%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch60.0ms (0.8%)

Memory
-8.5MiB live, 150.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
9.536385098495197e+107
1.0541975648235181e+111
11.0ms
-8.998894360130718e+87
-3.1222949967912037e+87
26.0ms
-2.1358434039351004e+185
-7.964311932827107e+172
Samples
39.0ms368×0valid
Compiler

Compiled 387 to 406 computations (-4.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-cos: 10.0ms (35.1% of total)
ival-sin: 10.0ms (35.1% of total)
ival-add: 5.0ms (17.6% of total)
ival-mult: 3.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch79.0ms (1%)

Memory
-2.6MiB live, 114.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.536385098495197e+107
1.0541975648235181e+111
42.0ms
7.464387173433756e-57
3.6000566691872755e-50
32.0ms
-9.33437122063391e-29
-2.40760841874363e-38
0.0ms
-8.998894360130718e+87
-3.1222949967912037e+87
1.0ms
-2.1358434039351004e+185
-7.964311932827107e+172
Samples
50.0ms288×0valid
Compiler

Compiled 445 to 575 computations (-29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-sin: 29.0ms (68.4% of total)
ival-cos: 6.0ms (14.2% of total)
ival-add: 5.0ms (11.8% of total)
ival-mult: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.5%)

Memory
-25.4MiB live, 61.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
5.172045860842538e+266
9.948118883913466e+271
1.0ms
7.464387173433756e-57
3.6000566691872755e-50
1.0ms
-9.33437122063391e-29
-2.40760841874363e-38
0.0ms
-8.998894360130718e+87
-3.1222949967912037e+87
Samples
27.0ms144×0valid
Compiler

Compiled 300 to 430 computations (-43.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-add: 15.0ms (64.4% of total)
ival-sin: 4.0ms (17.2% of total)
ival-cos: 3.0ms (12.9% of total)
ival-mult: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.9MiB live, 5.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.464387173433756e-57
3.6000566691872755e-50
1.0ms
-9.33437122063391e-29
-2.40760841874363e-38
Compiler

Compiled 174 to 248 computations (-42.5% saved)

bsearch60.0ms (0.8%)

Memory
6.1MiB live, 162.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
8.678512301342234e-5
11.867861188495237
31.0ms
-2.283537648367221e+19
-0.3490896894611242
Samples
42.0ms320×0valid
Compiler

Compiled 472 to 414 computations (12.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sin: 12.0ms (42.1% of total)
ival-cos: 9.0ms (31.6% of total)
ival-mult: 4.0ms (14% of total)
ival-add: 3.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.5%)

Memory
-3.4MiB live, 115.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
8.678512301342234e-5
11.867861188495237
24.0ms
-8.152781242909706e+25
-2.7921244027811235e+21
Samples
26.0ms192×0valid
Compiler

Compiled 335 to 337 computations (-0.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 9.0ms (43.6% of total)
ival-cos: 8.0ms (38.8% of total)
ival-add: 2.0ms (9.7% of total)
ival-mult: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.678512301342234e-5
11.867861188495237
3.0ms
-8.152781242909706e+25
-2.7921244027811235e+21
Samples
2.0ms16×0valid
Compiler

Compiled 284 to 303 computations (-6.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-cos: 1.0ms (67.3% of total)
ival-sin: 1.0ms (67.3% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch56.0ms (0.7%)

Memory
-18.2MiB live, 178.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
7.436702666316087e-21
2.3418562285800506e-8
29.0ms
-2.283537648367221e+19
-0.3490896894611242
Samples
37.0ms320×0valid
Compiler

Compiled 369 to 392 computations (-6.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 9.0ms (37.3% of total)
ival-cos: 8.0ms (33.2% of total)
ival-add: 4.0ms (16.6% of total)
ival-mult: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.436702666316087e-21
2.3418562285800506e-8
1.0ms
-2.283537648367221e+19
-0.3490896894611242
Compiler

Compiled 222 to 287 computations (-29.3% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.058017170400839e-131
2.542765456686502e-103
0.0ms
-9.33437122063391e-29
-8.810232630499076e-32
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify27.0ms (0.4%)

Memory
11.4MiB live, 90.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124687
1139687
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -3600000000000000026816329807467551609191181778899353940494713148725503468884138176949391554946065410270476169370024726621411561798115183459126049268018459813547540030497581170688 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) (if (<=.f64 z #s(literal -8800000000000000349606001127236923870448565886073779000087262036546577770610879461588992 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 1650000000000000095209427072076793438011715504986342470915353837868470210557178002537144622484274944491388928 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))))))
(if (<=.f64 z #s(literal -3600000000000000026816329807467551609191181778899353940494713148725503468884138176949391554946065410270476169370024726621411561798115183459126049268018459813547540030497581170688 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) (if (<=.f64 z #s(literal -8800000000000000349606001127236923870448565886073779000087262036546577770610879461588992 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -4224653170409641/11417981541647679048466287755595961091061972992 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 7371860416799003/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 1650000000000000095209427072076793438011715504986342470915353837868470210557178002537144622484274944491388928 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))))))))
(if (<=.f64 z #s(literal -8800000000000000349606001127236923870448565886073779000087262036546577770610879461588992 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -4224653170409641/11417981541647679048466287755595961091061972992 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 7371860416799003/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 520000000000000027427898566767262333419358516275635776948034955759055543688398792808835258036153707745086909951422941397163922059051633316461021354626412889529861258851837989217039435232081478458411217961651799975760678191366280711452616006339365422696859337196830720 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 z #s(literal -4224653170409641/11417981541647679048466287755595961091061972992 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 7371860416799003/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -6980579422424269/2251799813685248 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 7093169413108531/2251799813685248 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -2800000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 5291729562160333/1125899906842624 binary64)) #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 (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -3300000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 5291729562160333/1125899906842624 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))))
(if (<=.f64 y #s(literal -3300000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 3475661731392059/151115727451828646838272 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -6980579422424269/2251799813685248 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 3475661731392059/151115727451828646838272 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #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 -8920298079412249/178405961588244985132285746181186892047843328 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 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -3600000000000000026816329807467551609191181778899353940494713148725503468884138176949391554946065410270476169370024726621411561798115183459126049268018459813547540030497581170688 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) (if (<=.f64 z #s(literal -8800000000000000349606001127236923870448565886073779000087262036546577770610879461588992 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 1650000000000000095209427072076793438011715504986342470915353837868470210557178002537144622484274944491388928 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))))))
(if (<=.f64 z #s(literal -3600000000000000026816329807467551609191181778899353940494713148725503468884138176949391554946065410270476169370024726621411561798115183459126049268018459813547540030497581170688 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) (if (<=.f64 z #s(literal -8800000000000000349606001127236923870448565886073779000087262036546577770610879461588992 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -4224653170409641/11417981541647679048466287755595961091061972992 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 7371860416799003/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 1650000000000000095209427072076793438011715504986342470915353837868470210557178002537144622484274944491388928 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))))))))
(if (<=.f64 z #s(literal -8800000000000000349606001127236923870448565886073779000087262036546577770610879461588992 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -4224653170409641/11417981541647679048466287755595961091061972992 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 7371860416799003/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 520000000000000027427898566767262333419358516275635776948034955759055543688398792808835258036153707745086909951422941397163922059051633316461021354626412889529861258851837989217039435232081478458411217961651799975760678191366280711452616006339365422696859337196830720 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))))
(if (<=.f64 z #s(literal -4224653170409641/11417981541647679048466287755595961091061972992 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 7371860416799003/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -6980579422424269/2251799813685248 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 7093169413108531/2251799813685248 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -6980579422424269/2251799813685248 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 7093169413108531/2251799813685248 binary64)) (+.f64 #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) (*.f64 y y) z)) #s(approx (+ x (sin y)) (+.f64 y x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -2800000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 5291729562160333/1125899906842624 binary64)) #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 (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -3300000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 5291729562160333/1125899906842624 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))))
(if (<=.f64 y #s(literal -3300000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 3475661731392059/151115727451828646838272 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -6980579422424269/2251799813685248 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 3475661731392059/151115727451828646838272 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #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 -8920298079412249/178405961588244985132285746181186892047843328 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 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 (+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal -8920298079412249/178405961588244985132285746181186892047843328 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))

soundness1.5s (19.6%)

Memory
-168.2MiB live, 1 015.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109647
1310643
2846633
32177631
44214631
57324631
08046578
04014590
111954489
237644360
082304014
02754442
18254339
224544229
357684059
083173717
0821
01321
14321
236221
3554821
0832020
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 649 to 327 computations (49.6% saved)

preprocess80.0ms (1%)

Memory
-18.1MiB live, 136.8MiB allocated
Compiler

Compiled 742 to 228 computations (69.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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