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

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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)

sample1.7s (22.7%)

Memory
-176.3MiB live, 1 541.8MiB allocated
Samples
1.3s8 253×0valid
0.0ms3valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 621.0ms
ival-sin: 226.0ms (36.4% of total)
ival-cos: 208.0ms (33.5% of total)
ival-add: 124.0ms (20% of total)
ival-mult: 54.0ms (8.7% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain183.0ms (2.4%)

Memory
-13.2MiB live, 195.7MiB 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
97.0ms512×0valid
Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-cos: 37.0ms (45.9% of total)
ival-add: 26.0ms (32.3% of total)
ival-sin: 14.0ms (17.4% of total)
ival-mult: 3.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess72.0ms (0.9%)

Memory
10.3MiB live, 44.9MiB 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)

prune0.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory
7.8MiB live, 7.8MiB 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)

localize34.0ms (0.4%)

Memory
-5.4MiB live, 69.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x (sin.f64 y))
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.11328125
(*.f64 z (cos.f64 y))
Samples
28.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 8.0ms (39.4% of total)
ival-add: 6.0ms (29.6% of total)
ival-cos: 5.0ms (24.6% of total)
ival-mult: 2.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-19.6MiB live, 26.4MiB 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))

simplify143.0ms (1.9%)

Memory
28.9MiB live, 217.5MiB 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)

rewrite198.0ms (2.6%)

Memory
-1.0MiB live, 365.7MiB 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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eval39.0ms (0.5%)

Memory
5.2MiB live, 119.5MiB allocated
Compiler

Compiled 5 953 to 603 computations (89.9% saved)

prune12.0ms (0.2%)

Memory
11.1MiB live, 50.4MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New26310273
Fresh000
Picked101
Done000
Total26410274
Accuracy
100.0%
Counts
274 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 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)))
55.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))))
58.0%
#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)))
59.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
55.6%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
64.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
62.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
68.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
39.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
Compiler

Compiled 256 to 196 computations (23.4% saved)

simplify16.0ms (0.2%)

Memory
-39.5MiB live, 47.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (sin.f64 y))
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
cost-diff0
(sin.f64 y)
cost-diff0
(+.f64 (sin.f64 y) x)
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))
cost-diff0
#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)))
cost-diff0
(+.f64 z x)
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
cost-diff0
(cos.f64 y)
cost-diff0
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026160
040152
163152
293152
3191152
4269152
5276152
6293152
7317152
0317152
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.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)
#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 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
#s(literal 1 binary64)
(+.f64 z x)
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(cos.f64 y)
y
z
(sin.f64 y)
Outputs
(/.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)
#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 (*.f64 #s(literal -1/2 binary64) y) z #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 x z)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
#s(literal 1 binary64)
(+.f64 z x)
(+.f64 x z)
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y)))
(+.f64 (sin.f64 y) x)
(+.f64 x (sin.f64 y))
(sin.f64 y)
y
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(cos.f64 y)
y
z
(sin.f64 y)

localize117.0ms (1.5%)

Memory
3.1MiB live, 161.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.05078125
(fma.f64 (cos.f64 y) z (sin.f64 y))
accuracy28.356436721819474
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
accuracy0
(+.f64 (sin.f64 y) x)
accuracy0
(sin.f64 y)
accuracy24.15650510896453
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
accuracy0
(+.f64 z x)
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy0.03515625
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))
accuracy26.24574360028874
#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)))
accuracy0
(+.f64 z x)
accuracy20.449092593534452
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
accuracy0
(cos.f64 y)
accuracy0.03515625
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
accuracy0.11328125
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))
accuracy0.234375
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
Samples
80.0ms255×0valid
1.0ms3valid
Compiler

Compiled 265 to 46 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-cos: 36.0ms (55.7% of total)
ival-add: 9.0ms (13.9% of total)
ival-mult: 8.0ms (12.4% of total)
ival-sin: 5.0ms (7.7% of total)
ival-pow: 4.0ms (6.2% of total)
ival-div: 2.0ms (3.1% 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)

series31.0ms (0.4%)

Memory
26.6MiB live, 63.7MiB allocated
Counts
15 → 420
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (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 #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 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) z (sin.f64 y)) (patch (fma.f64 (cos.f64 y) z (sin.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ x (sin y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) (taylor 0 z) (#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 (+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) (taylor 0 z) (#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 (+ (* 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)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (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>) () ())) ())
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#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>) () ())) ())
#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #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))) (patch #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))) #<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 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) (patch #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))) #<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 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) (patch #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))) #<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 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #<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 (cos.f64 y) z (sin.f64 y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #<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 (cos.f64 y) z (sin.f64 y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #<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 (cos.f64 y) z (sin.f64 y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify186.0ms (2.4%)

Memory
-33.5MiB live, 258.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03374315
110064275
230364081
081283752
Stop Event
iter limit
node limit
Counts
420 → 395
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))))
(/ 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))))
(+ 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)
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
1
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -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))))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(sin y)
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(/ 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))
(* 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 z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (/ 1 z)))
(* z (+ (* -1/2 y) (/ 1 z)))
(* z (+ (* -1/2 y) (/ 1 z)))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(/ 1 (* z (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))
(* 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) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1/2 (* y z))
(* -1 (* z (- (* 1/2 y) (/ 1 z))))
(* -1 (* z (- (* 1/2 y) (/ 1 z))))
(* -1 (* z (- (* 1/2 y) (/ 1 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 (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin 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 (+ 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 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 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 (* -1/2 (* y z))))))
1
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 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))))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
z
(+ y z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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) (* 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))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (/ 1 y)))
(* y (+ (* -1/2 z) (/ 1 y)))
(* y (+ (* -1/2 z) (/ 1 y)))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 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)
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(/ 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) (* 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))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(* -1/2 (* y z))
(* -1 (* y (- (* 1/2 z) (/ 1 y))))
(* -1 (* y (- (* 1/2 z) (/ 1 y))))
(* -1 (* y (- (* 1/2 z) (/ 1 y))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 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)
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(/ 1 (+ (sin y) (* z (cos y))))
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y)))))
(+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ (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 (* -1/2 (* y z)))))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* -1/2 (* 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))))
(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))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x)
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* x (+ 1 (/ (sin y) x)))
(* 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
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(/ 1 x)
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* 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 (/ (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)))
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))
(/ 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)))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64))
(+ 1 (* -1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64))
(+ 1 (* -1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #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 (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))
(sin y)
(sin.f64 y)
(+ (sin y) (* z (cos y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+ (sin y) (* z (cos y)))
(fma.f64 (cos.f64 y) z (sin.f64 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)
(/ 1 (* z (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
(/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z)
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(* x (+ 1 (/ z x)))
(fma.f64 (/.f64 z x) x x)
(* x (+ 1 (/ z x)))
(fma.f64 (/.f64 z 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)
x
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x)
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x)
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) x) y (/.f64 z 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)
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 (+ (/ (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
(* -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 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) 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 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 3 binary64)))) 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)))
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)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z 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)))
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(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z y) x)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z y) x)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z y) x)))
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(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
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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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(* -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)))

rewrite155.0ms (2%)

Memory
20.5MiB live, 289.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026131
040123
1175123
21327123
08256123
Stop Event
iter limit
node limit
iter limit
Counts
15 → 454
Calls
Call 1
Inputs
(/.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))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(cos.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 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(sin.f64 y)
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
Outputs
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eval209.0ms (2.7%)

Memory
5.7MiB live, 318.6MiB allocated
Compiler

Compiled 20 965 to 2 047 computations (90.2% saved)

prune79.0ms (1%)

Memory
6.6MiB live, 93.0MiB allocated
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New95918977
Fresh415
Picked235
Done000
Total96522987
Accuracy
100.0%
Counts
987 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64))
37.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
39.1%
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64)))
55.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x))))
62.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))))
44.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
58.0%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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)))
64.0%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
39.1%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
55.6%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
32.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z)))))
58.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
62.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
68.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
7.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
40.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
24.5%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
2.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
29.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin 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 z)))
29.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
19.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
63.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
Compiler

Compiled 452 to 384 computations (15% saved)

simplify28.0ms (0.4%)

Memory
-7.9MiB live, 28.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043233
060233
1102219
2171219
3300219
4519219
5659219
6707219
7798219
8798219
0798210
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#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))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))
(+.f64 z y)
z
y
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(*.f64 z y)
z
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) 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
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
Outputs
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 x (+.f64 y z)))
(+.f64 (+.f64 z y) x)
(+.f64 x (+.f64 y z))
(+.f64 z y)
(+.f64 y z)
z
y
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 y z)))
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 y z))
(+.f64 z y)
(+.f64 y z)
z
y
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)
(*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(*.f64 z y)
(*.f64 y z)
z
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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)) (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
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
y
z

localize109.0ms (1.4%)

Memory
9.5MiB live, 164.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 y)
accuracy0.11328125
(*.f64 (cos.f64 y) z)
accuracy38.921700044160936
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
accuracy0.01953125
(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))
accuracy0.02734375
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
accuracy0.16796875
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
accuracy26.84992140244246
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 #s(literal -1/2 binary64) y)
accuracy0.078125
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)
accuracy26.24574360028874
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
accuracy34.037672104393806
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))
accuracy0
(+.f64 z y)
accuracy28.356436721819474
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
accuracy29.950934190291356
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))
accuracy0
(+.f64 z y)
accuracy0.00390625
(+.f64 (+.f64 z y) x)
accuracy23.050350431801757
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
Samples
80.0ms255×0valid
6.0ms3valid
Compiler

Compiled 304 to 63 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 26.0ms (40.2% of total)
ival-add: 16.0ms (24.7% of total)
ival-cos: 7.0ms (10.8% of total)
ival-sin: 6.0ms (9.3% of total)
const: 4.0ms (6.2% of total)
ival-pow: 4.0ms (6.2% of total)
ival-div: 2.0ms (3.1% 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)

series42.0ms (0.5%)

Memory
-18.3MiB live, 61.1MiB allocated
Counts
16 → 456
Calls
Call 1
Inputs
#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))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) (patch #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (+ x (sin y)) (taylor 0 z) (#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 (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#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 (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#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 (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#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 (+ x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 (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 (* -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 (* -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 (* -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 #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify194.0ms (2.5%)

Memory
37.5MiB live, 269.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02634213
18064125
225564006
361233905
084363475
Stop Event
iter limit
node limit
Counts
456 → 426
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 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))))
(sin y)
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (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 (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
y
(+ y (* -1/2 (* (pow y 2) z)))
(+ y (* -1/2 (* (pow y 2) z)))
(+ y (* -1/2 (* (pow y 2) 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))
(* 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 (cos y))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (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 (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* -1/2 (* (pow y 2) z))
(* z (+ (* -1/2 (pow y 2)) (/ y z)))
(* z (+ (* -1/2 (pow y 2)) (/ y z)))
(* z (+ (* -1/2 (pow y 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 (+ 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))
(* -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)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1/2 (* (pow y 2) z))
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 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)))))
(* -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))
(+ 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)))))))
z
(+ y z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(+ 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 (* -1/2 (* y z))))))
y
(* y (+ 1 (* -1/2 (* y z))))
(* y (+ 1 (* -1/2 (* y z))))
(* y (+ 1 (* -1/2 (* y z))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 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)))))))
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))))
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))))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
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(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 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))
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(* 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))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(cos y)
(cos y)
(cos y)
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(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
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(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
y
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Outputs
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
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(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))
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(+.f64 (+.f64 z x) y)
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y
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(+.f64 (sin.f64 y) x)
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(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))
(sin y)
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(fma.f64 (cos.f64 y) z (sin.f64 y))
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(fma.f64 (cos.f64 y) z (sin.f64 y))
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(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))
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(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
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(*.f64 (cos.f64 y) z)
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(fma.f64 (cos.f64 y) z (sin.f64 y))
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(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
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(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y z) x) x x)
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y z) x) x x)
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #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 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(fma.f64 (/.f64 (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 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 -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) 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 -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) 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)

rewrite231.0ms (3%)

Memory
6.0MiB live, 242.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043205
060199
1274191
22236191
08302182
Stop Event
iter limit
node limit
iter limit
Counts
16 → 241
Calls
Call 1
Inputs
#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))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) 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(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
Outputs
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eval115.0ms (1.5%)

Memory
1.4MiB live, 113.7MiB allocated
Compiler

Compiled 13 459 to 1 318 computations (90.2% saved)

prune65.0ms (0.8%)

Memory
-15.1MiB live, 69.6MiB allocated
Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New6929701
Fresh31114
Picked145
Done033
Total69627723
Accuracy
100.0%
Counts
723 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64))
37.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
39.1%
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64)))
55.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x))))
62.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))))
44.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
58.6%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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)))
64.0%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
39.1%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
24.3%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (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))
24.5%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
25.0%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
46.9%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y)))
49.8%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z)))
40.9%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
24.4%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (* (cos 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)))
55.6%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
32.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z)))))
58.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
62.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
68.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
7.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
2.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
2.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))
29.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
19.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
63.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
Compiler

Compiled 522 to 441 computations (15.5% saved)

simplify280.0ms (3.7%)

Memory
-24.0MiB live, 161.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)
cost-diff0
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
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
(/.f64 z x)
cost-diff0
#s(approx (+ z x) (fma.f64 (/.f64 z x) x x))
cost-diff0
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
cost-diff896
(fma.f64 (/.f64 z x) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041254
059249
199241
2156229
3299229
4511229
51230229
63011229
73501229
84115229
95432229
105598229
115858229
126983229
137115229
147337229
08611223
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ z x) (fma.f64 (/.f64 z x) x x))
(fma.f64 (/.f64 z x) x x)
(/.f64 z x)
z
x
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
(*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1 binary64)
z
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
(+.f64 x z)
x
Outputs
#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 (+ z x) (+.f64 x z)))
#s(approx (+ z x) (fma.f64 (/.f64 z x) x x))
#s(approx (+ z x) (+.f64 x z))
(fma.f64 (/.f64 z x) x x)
(+.f64 x z)
(/.f64 z x)
z
x
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z))
(*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)
(*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1 binary64)
z
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
(+.f64 x z)
x

localize131.0ms (1.7%)

Memory
-13.9MiB live, 107.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))
accuracy0.13460613840754043
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
accuracy0.1953125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))
accuracy26.24574360028874
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.234375
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
accuracy35.29330617014166
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))
accuracy0
(*.f64 y y)
accuracy0.11328125
(*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)
accuracy30.257876682017663
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy38.921700044160936
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
accuracy0
(+.f64 y x)
accuracy20.653817505345522
#s(approx (+ (+ z y) x) (+.f64 y x))
accuracy23.050350431801757
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
accuracy0
(/.f64 z x)
accuracy0
#s(approx (+ z x) (fma.f64 (/.f64 z x) x x))
accuracy6.531453153185248
(fma.f64 (/.f64 z x) x x)
accuracy20.449092593534452
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
Samples
107.0ms256×0valid
Compiler

Compiled 349 to 64 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-add: 44.0ms (48.9% of total)
ival-mult: 22.0ms (24.4% of total)
ival-div: 8.0ms (8.9% of total)
ival-sin: 6.0ms (6.7% of total)
ival-cos: 5.0ms (5.6% of total)
ival-pow: 4.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series58.0ms (0.8%)

Memory
10.4MiB live, 48.6MiB allocated
Counts
19 → 528
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 z x) x x) (patch (fma.f64 (/.f64 z x) x x) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) #<representation binary64>) () ())
#s(alt #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) (patch #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) #<representation binary64>) () ())
#s(alt (/.f64 z x) (patch (/.f64 z x) #<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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) #<representation binary64>) () ())
#s(alt #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (/.f64 z x) x x) (patch (fma.f64 (/.f64 z x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z x) x x) (patch (fma.f64 (/.f64 z x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z x) x x) (patch (fma.f64 (/.f64 z x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z x) x x) (patch (fma.f64 (/.f64 z x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) (patch #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) (patch #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) (patch #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) (patch #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #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 (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#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 (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#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 (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#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 (+ x y) (taylor 0 z) (#s(alt #s(approx (+ (+ z y) x) (+.f64 y x)) (patch #s(approx (+ (+ z y) x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ z y) x) (+.f64 y x)) (patch #s(approx (+ (+ z y) x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ z y) x) (+.f64 y x)) (patch #s(approx (+ (+ z y) x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ z y) x) (+.f64 y x)) (patch #s(approx (+ (+ z y) x) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ x (sin y))) (taylor 0 z) (#s(alt #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) (taylor 0 z) (#s(alt #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) #<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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) #<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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) #<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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2) x) (+ z (* y (+ 1 (* -1/2 (* y z)))))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 3) x) (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2)) x)) (+ z (* y (+ 1 (* -1/2 (* y z)))))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify215.0ms (2.8%)

Memory
-1.7MiB live, 153.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05596173
117126098
256335958
081645513
Stop Event
iter limit
node limit
Counts
528 → 489
Calls
Call 1
Inputs
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
(+ x z)
(+ x z)
(+ x z)
(/ z x)
(/ z x)
(/ z x)
(/ z 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))))
(* 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))))
(+ x y)
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(/ 1 (+ x y))
(+ (* -1 (* z (+ (* -1/2 (/ (pow y 2) (pow (+ x y) 2))) (/ 1 (pow (+ x y) 2))))) (/ 1 (+ x y)))
(+ (* z (- (/ (* z (* (+ 1 (* -1/2 (pow y 2))) (+ (* -1/2 (/ (pow y 2) (pow (+ x y) 2))) (/ 1 (pow (+ x y) 2))))) (+ x y)) (+ (* -1/2 (/ (pow y 2) (pow (+ x y) 2))) (/ 1 (pow (+ x y) 2))))) (/ 1 (+ x y)))
(+ (* z (- (* z (- (* -1 (/ (* z (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (+ (* -1/2 (/ (pow y 2) (pow (+ x y) 2))) (/ 1 (pow (+ x y) 2))))) (pow (+ x y) 2))) (* -1 (/ (* (+ 1 (* -1/2 (pow y 2))) (+ (* -1/2 (/ (pow y 2) (pow (+ x y) 2))) (/ 1 (pow (+ x y) 2)))) (+ x y))))) (+ (* -1/2 (/ (pow y 2) (pow (+ x y) 2))) (/ 1 (pow (+ x y) 2))))) (/ 1 (+ x y)))
(+ x y)
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
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
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(/ z x)
(/ z x)
(/ z x)
(/ z 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 (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 (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ 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))))
(/ 1 (* z (+ 1 (* -1/2 (pow y 2)))))
(/ (+ (* -1 (/ (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ y (pow (+ 1 (* -1/2 (pow y 2))) 2))) z)) (/ 1 (+ 1 (* -1/2 (pow y 2))))) z)
(/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (+ x y) (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ y (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (* (pow z 2) (+ 1 (* -1/2 (pow y 2)))))) (+ (/ x (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ y (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))))) z)
(/ (- (+ (* -1 (/ (* (pow (+ x y) 2) (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ y (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (* (pow z 3) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (+ x y) (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ y (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (* (pow z 2) (+ 1 (* -1/2 (pow y 2)))))) (+ (/ x (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ y (* z (pow (+ 1 (* -1/2 (pow y 2))) 2)))))) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ 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)))))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(* 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 (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))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(* 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)))
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(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
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(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))
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(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x))
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(* x (+ 1 (/ z x)))
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(* x (+ 1 (/ z x)))
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x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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(* 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)
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(* x (+ 1 (/ z x)))
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(* x (+ 1 (/ z x)))
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(/ z x)
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(/ z x)
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(/ z x)
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x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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(* 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 (+ (/ y x) (/ z x))))
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(* x (+ 1 (+ (/ y x) (/ z x))))
(fma.f64 (+.f64 (/.f64 y x) (/.f64 z x)) x x)
x
(* x (+ 1 (/ y x)))
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(* x (+ 1 (/ y x)))
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(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(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) (/ (* 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))))
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(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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(/ 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)
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(/ (- (+ 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)
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(/ 1 x)
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(/ 1 x)
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(/ 1 x)
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(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
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(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
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(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
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(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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(/ (- (+ 1 (/ (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2) (pow x 2))) (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))) x)
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x
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) y (/.f64 z x)) x x)
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
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(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) y (/.f64 z x)) x x)
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(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z 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)))
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(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z 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)))
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.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)))
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 (fma.f64 (/.f64 (cos.f64 y) x) z (-.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) (neg.f64 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))) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal 1 binary64)) (neg.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) 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)))
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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 (/ (- (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) y (-.f64 (/.f64 z x) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2) x) (+ z (* y (+ 1 (* -1/2 (* y z)))))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) #s(literal 2 binary64)) x) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 3) x) (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2)) x)) (+ z (* y (+ 1 (* -1/2 (* y z)))))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) #s(literal 2 binary64))) x) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) x) #s(literal 1 binary64)) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x)))

rewrite191.0ms (2.5%)

Memory
-3.9MiB live, 153.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041227
059215
1285211
22233208
08586199
Stop Event
iter limit
node limit
iter limit
Counts
19 → 527
Calls
Call 1
Inputs
(fma.f64 (/.f64 z x) x x)
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ z x) (fma.f64 (/.f64 z x) x x))
(/.f64 z x)
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
(*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))
(*.f64 y y)
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eval265.0ms (3.5%)

Memory
11.1MiB live, 242.2MiB allocated
Compiler

Compiled 25 027 to 2 686 computations (89.3% saved)

prune131.0ms (1.7%)

Memory
5.7MiB live, 127.8MiB allocated
Pruning

32 alts after pruning (21 fresh and 11 done)

PrunedKeptTotal
New1 00791 016
Fresh31215
Picked145
Done077
Total1 011321 043
Accuracy
100.0%
Counts
1 043 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64))
37.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
39.1%
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64)))
55.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x))))
62.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))))
44.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
58.6%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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)))
64.0%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
39.1%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
24.3%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (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))
24.5%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
2.8%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z))
25.0%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z))
46.9%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y)))
49.8%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z)))
40.9%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
24.4%
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (* (cos 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)))
55.6%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
32.7%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z)))))
40.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y x)))))
7.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))))
24.5%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))))
2.8%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y))))
62.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
68.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
2.9%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y)))
7.3%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
29.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
19.0%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
63.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
63.2%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x)))
41.1%
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z))))))
Compiler

Compiled 869 to 501 computations (42.3% saved)

regimes93.0ms (1.2%)

Memory
11.1MiB live, 91.2MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
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#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
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#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin 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 z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y 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)) (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 (* (cos 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)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (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))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

33.0ms
z
32.0ms
x
13.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
13.0ms
y
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)

regimes84.0ms (1.1%)

Memory
-1.7MiB live, 74.0MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z))
#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 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin 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 z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y 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)) (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 (* (cos 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)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (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))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

4 calls:

32.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
28.0ms
y
11.0ms
z
11.0ms
x
Results
AccuracySegmentsBranch
90.8%3x
85.2%3y
88.2%4z
85.6%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes34.0ms (0.4%)

Memory
-13.1MiB live, 26.6MiB allocated
Counts
39 → 4
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z))
#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 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin 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 z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y 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)) (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 (* (cos 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)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (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))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#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 (cos.f64 y) z))
Calls

2 calls:

11.0ms
x
11.0ms
z
Results
AccuracySegmentsBranch
88.2%4z
74.6%3x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes22.0ms (0.3%)

Memory
30.0MiB live, 30.0MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z))
#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 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin 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 z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y 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)) (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 (* (cos 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)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (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))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (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 (sin.f64 y) x))
Calls

2 calls:

10.0ms
z
10.0ms
y
Results
AccuracySegmentsBranch
85.2%3y
81.7%3z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes37.0ms (0.5%)

Memory
-2.0MiB live, 40.0MiB allocated
Counts
35 → 5
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z))
#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 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin 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 z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y 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)) (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 (* (cos 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)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (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))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

3 calls:

16.0ms
y
10.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.0ms
z
Results
AccuracySegmentsBranch
68.0%1z
84.7%5(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
73.5%3y
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes45.0ms (0.6%)

Memory
2.4MiB live, 41.5MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z))
#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 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin 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 z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y 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)) (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 (* (cos 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)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (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))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z))))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y))))
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

3 calls:

24.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
73.5%3y
73.1%3x
73.3%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes49.0ms (0.6%)

Memory
-21.9MiB live, 17.2MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z))
#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 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin 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 z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.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)) (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

2 calls:

41.0ms
y
7.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
AccuracySegmentsBranch
73.3%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
73.3%3y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes13.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z))
#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 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y)))
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

2 calls:

6.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
6.0ms
y
Results
AccuracySegmentsBranch
73.3%3y
73.1%3(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes11.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z))
#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 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x 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:

5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
72.9%3x
73.1%3y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes28.0ms (0.4%)

Memory
-23.0MiB live, 16.6MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
Calls

3 calls:

22.0ms
y
3.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
3.0ms
x
Results
AccuracySegmentsBranch
71.4%3x
68.0%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
68.0%1y
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes7.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))
Calls

4 calls:

2.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
52.0%3z
40.9%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
40.9%1y
52.4%3x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.2%)

Memory
-39.4MiB live, 11.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

7.0ms
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
29.2%1y
29.2%1(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
29.2%1z
29.2%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch42.0ms (0.5%)

Memory
6.1MiB live, 43.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
2035895898.6922987
64503414040850.23
18.0ms
-1.0566120597794619e-16
-2.5567190505650747e-26
Samples
23.0ms272×0valid
Compiler

Compiled 199 to 252 computations (-26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (37.9% of total)
ival-cos: 5.0ms (31.6% of total)
ival-add: 2.0ms (12.6% of total)
ival-mult: 2.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch58.0ms (0.8%)

Memory
7.8MiB live, 46.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
7.407552315135842e+29
4.23649508851522e+33
11.0ms
-2.390169863296847e-6
-3.720653858626945e-7
20.0ms
-3.0861625618457946e+137
-1.286930173573612e+127
Samples
39.0ms384×0valid
Compiler

Compiled 236 to 334 computations (-41.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sin: 9.0ms (40.9% of total)
ival-cos: 7.0ms (31.8% of total)
ival-add: 3.0ms (13.6% of total)
ival-mult: 3.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch59.0ms (0.8%)

Memory
20.8MiB live, 59.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
37.0ms
1.0869757278482384e+28
4.196706950711178e+39
19.0ms
-4.1384672200471817e+46
-1.640092999476043e+43
Samples
43.0ms288×0valid
Compiler

Compiled 372 to 374 computations (-0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-cos: 21.0ms (58.2% of total)
ival-sin: 10.0ms (27.7% of total)
ival-add: 3.0ms (8.3% of total)
ival-mult: 2.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9402758463080607
1483.8595481184877
0.0ms
8.934424170675268e-21
0.00032144781168408414
0.0ms
-0.18009037115843327
-3.693166873231795e-5
0.0ms
-86.6928886460346
-0.9990765141310632
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch52.0ms (0.7%)

Memory
-0.6MiB live, 43.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
49.0ms
0.0003214478172198816
3878.1883596595403
1.0ms
-4.1384672200471817e+46
-1.640092999476043e+43
Samples
43.0ms144×0valid
Compiler

Compiled 335 to 337 computations (-0.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 5.0ms (42.9% of total)
ival-cos: 4.0ms (34.3% of total)
ival-add: 1.0ms (8.6% of total)
ival-mult: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00032144781168408414
0.1593109209594876
0.0ms
-0.18009037115843327
-3.693166873231795e-5
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch19.0ms (0.2%)

Memory
-6.9MiB live, 30.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
3.5295104358115383e+46
4.170995646600405e+46
11.0ms
-4.1384672200471817e+46
-1.640092999476043e+43
Samples
7.0ms64×0valid
Compiler

Compiled 188 to 201 computations (-6.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 2.0ms (38.4% of total)
ival-sin: 2.0ms (38.4% of total)
ival-add: 1.0ms (19.2% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch96.0ms (1.3%)

Memory
-21.4MiB live, 101.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
58.0ms
1.3204271458830798e+67
6.206883664864834e+80
35.0ms
-9.475395080998913e+122
-6.569443228489604e+112
Samples
54.0ms320×0valid
Compiler

Compiled 212 to 274 computations (-29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-cos: 17.0ms (37.2% of total)
ival-mult: 14.0ms (30.6% of total)
ival-sin: 12.0ms (26.2% of total)
ival-add: 3.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch133.0ms (1.7%)

Memory
-6.2MiB live, 70.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
99.0ms
1.712501667296788e-158
2.1472685952039952e-142
20.0ms
-6.879693111851513e-120
-8.621909126912164e-142
Samples
27.0ms336×0valid
Compiler

Compiled 201 to 287 computations (-42.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 7.0ms (38.2% of total)
ival-cos: 6.0ms (32.8% of total)
ival-add: 3.0ms (16.4% of total)
ival-mult: 2.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Memory
3.0MiB live, 40.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
9.991652748279867e+72
1.1454468536102086e+73
15.0ms
-7.83465497695462e-9
-1.116115498692817e-11
Samples
13.0ms160×0valid
Compiler

Compiled 112 to 154 computations (-37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 4.0ms (42% of total)
ival-cos: 3.0ms (31.5% of total)
ival-add: 1.0ms (10.5% of total)
ival-mult: 1.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify45.0ms (0.6%)

Memory
23.4MiB live, 63.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128737
1141737
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 x #s(literal -7788445287802241/1298074214633706907132624082305024 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 2050000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 z #s(literal -99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7177997053961861/18889465931478580854784 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 38000000000000001318565697290240 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y #s(literal -16500000000000000663243006732916359780368384 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 10999999999999999321529384960 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 (sin.f64 y) x))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -50 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))))
(if (<=.f64 y #s(literal -16500000000000000663243006732916359780368384 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 35/2 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 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 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 1152921504606847/2305843009213693952 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 -17500000000000000553386214500319742203527168 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 35999999999999998738913005111509245414210535424 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 -279999999999999997521478001303803783131026931395330434614881290979344594895598451883092786678163525275859080445952 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 13499999999999999542459821588873869492187716576813186756927910051840 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 x #s(literal -6711759383179383/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 3251168171837857/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 x #s(literal -290142196707511/9671406556917033397649408 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) (if (<=.f64 x #s(literal 9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))
Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(if (<=.f64 x #s(literal -7788445287802241/1298074214633706907132624082305024 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 2050000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 z #s(literal -99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7177997053961861/18889465931478580854784 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 38000000000000001318565697290240 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y #s(literal -16500000000000000663243006732916359780368384 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 10999999999999999321529384960 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 (sin.f64 y) x))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -50 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) #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 -50 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 -3602879701896397/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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))) (if (<=.f64 (+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))))
(if (<=.f64 y #s(literal -16500000000000000663243006732916359780368384 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 35/2 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 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 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 1152921504606847/2305843009213693952 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 (+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal -3602879701896397/36028797018963968 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 1152921504606847/2305843009213693952 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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 -17500000000000000553386214500319742203527168 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 35999999999999998738913005111509245414210535424 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 -279999999999999997521478001303803783131026931395330434614881290979344594895598451883092786678163525275859080445952 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 13499999999999999542459821588873869492187716576813186756927910051840 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 x #s(literal -6711759383179383/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 3251168171837857/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 x #s(literal -290142196707511/9671406556917033397649408 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) (if (<=.f64 x #s(literal 9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)))

soundness1.3s (17.1%)

Memory
-28.1MiB live, 939.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109647
1310643
2846633
32177631
44214631
57324631
08046578
0821
01321
14321
236221
3554821
0832020
02634213
18064125
225564006
361233905
084363475
03374315
110064275
230364081
081283752
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 541 to 294 computations (45.7% saved)

preprocess78.0ms (1%)

Memory
19.5MiB live, 213.3MiB allocated
Compiler

Compiled 714 to 226 computations (68.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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