Linear.Quaternion:$ctanh from linear-1.19.1.3

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze78.0ms (0.9%)

Memory
-16.0MiB live, 142.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
65.6%65.5%34.3%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
76.6%76.5%23.4%0.1%0%0%0%11
82%81.9%17.9%0.1%0%0%0%12
Compiler

Compiled 10 to 9 computations (10% saved)

sample825.0ms (9.5%)

Memory
32.8MiB live, 1 336.4MiB allocated
Samples
574.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 381.0ms
ival-sin: 194.0ms (50.9% of total)
ival-div: 129.0ms (33.8% of total)
ival-mult: 50.0ms (13.1% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain98.0ms (1.1%)

Memory
-28.3MiB live, 141.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-3(-3.753936429765604e-216 -6.074627209408676e+106 -6.744689423073766e-82)(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (/.f64 (sin.f64 y) y))
00-0-(/.f64 (sin.f64 y) y)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)u/n80
(*.f64 x (/.f64 (sin.f64 y) y))underflow23
Confusion
Predicted +Predicted -
+83
-0245
Precision
1.0
Recall
0.7272727272727273
Confusion?
Predicted +Predicted MaybePredicted -
+803
-00245
Precision?
1.0
Recall?
0.7272727272727273
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms512×0valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 17.0ms (53.1% of total)
ival-sin: 11.0ms (34.3% of total)
ival-mult: 3.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess276.0ms (3.2%)

Memory
6.2MiB live, 44.2MiB allocated
Algorithm
egg-herbie
Rules
1 504×unsub-neg
992×distribute-lft-in
920×distribute-rgt-in
632×div-sub
602×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02981
18775
225275
391175
4289975
5494275
6588675
7598375
8602875
9606975
10611975
11665975
12691775
13692975
14692975
15692975
16708775
17720775
18733975
19739575
20739575
21739575
078
0118
1168
2248
3378
4488
5488
0488
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)
Symmetry

(abs y)

(negabs z)

(negabs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.2%
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify4.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
(*.f64 x (/.f64 (sin.f64 y) y))
cost-diff0
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Rules
40×lower-*.f32
38×lower-*.f64
30×lower-/.f32
26×lower-/.f64
14×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
11623
22423
33723
44823
54823
04823
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
z
Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
z

localize63.0ms (0.7%)

Memory
-2.8MiB live, 41.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0.11328125
(*.f64 x (/.f64 (sin.f64 y) y))
accuracy0.1171875
(/.f64 (sin.f64 y) y)
accuracy2.3930058352270493
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Samples
58.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sin: 33.0ms (86.8% of total)
ival-div: 3.0ms (7.9% of total)
ival-mult: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series49.0ms (0.6%)

Memory
-16.5MiB live, 21.3MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) 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 (/ (* x (sin y)) (* y z)) (taylor inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) 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 (/ (* x (sin y)) (* y z)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) 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 (/ (* x (sin y)) (* y z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
35.0ms
x
@0
((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y))
3.0ms
x
@inf
((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y))
2.0ms
y
@-inf
((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y))
2.0ms
x
@-inf
((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms
z
@0
((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y))

simplify254.0ms (2.9%)

Memory
26.3MiB live, 181.5MiB allocated
Algorithm
egg-herbie
Rules
13 374×lower-fma.f64
13 374×lower-fma.f32
6 064×lower-*.f64
6 064×lower-*.f32
2 056×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062634
1181634
2523614
31580606
42550606
54169606
64849606
75080606
85581606
08769582
Stop Event
iter limit
node limit
Counts
84 → 82
Calls
Call 1
Inputs
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (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 (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
Outputs
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ x z)
(/.f64 x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z)
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z))
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
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)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)

rewrite141.0ms (1.6%)

Memory
11.2MiB live, 208.0MiB allocated
Rules
3 156×lower-*.f32
3 154×lower-*.f64
2 052×lower-/.f32
2 048×lower-/.f64
1 672×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
13120
215120
3104820
4527120
0808420
Stop Event
iter limit
node limit
iter limit
Counts
4 → 347
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
Outputs
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eval92.0ms (1.1%)

Memory
-26.8MiB live, 138.0MiB allocated
Compiler

Compiled 5 308 to 1 053 computations (80.2% saved)

prune16.0ms (0.2%)

Memory
13.1MiB live, 50.9MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New41910429
Fresh000
Picked011
Done000
Total41911430
Accuracy
100.0%
Counts
430 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
84.7%
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
83.4%
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
96.2%
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
52.3%
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
87.8%
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
96.3%
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
88.9%
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x))
97.0%
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
82.5%
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y)))
57.5%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Compiler

Compiled 174 to 157 computations (9.8% saved)

simplify6.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (sin.f64 y))
cost-diff0
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 y (sin.f64 y))
cost-diff0
(*.f64 (/.f64 y (sin.f64 y)) z)
cost-diff0
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
cost-diff-384
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
cost-diff0
(*.f64 z y)
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(/.f64 x z)
cost-diff0
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
(/.f64 (/.f64 (sin.f64 y) y) z)
cost-diff0
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
Rules
48×lower-*.f32
46×lower-/.f32
38×lower-*.f64
30×lower-/.f64
18×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022105
036105
157105
271105
375105
477105
577105
077105
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
z
x
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(/.f64 x z)
x
z
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 z y)
z
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
x
(*.f64 (/.f64 y (sin.f64 y)) z)
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
z
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
x
y
(sin.f64 y)
z
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
z
x
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(/.f64 x z)
x
z
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
(*.f64 z y)
z
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
x
(*.f64 (/.f64 y (sin.f64 y)) z)
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
z
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x y)
x
y
(sin.f64 y)
z

localize68.0ms (0.8%)

Memory
-14.6MiB live, 106.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0
(sin.f64 y)
accuracy2.3930058352270493
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
accuracy9.79629226134648
(*.f64 (/.f64 x y) (sin.f64 y))
accuracy0
(sin.f64 y)
accuracy0.13671875
(*.f64 (/.f64 y (sin.f64 y)) z)
accuracy0.14453125
(/.f64 y (sin.f64 y))
accuracy2.3254003818522064
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
accuracy0
(*.f64 z y)
accuracy0
(sin.f64 y)
accuracy0.1328125
(*.f64 (sin.f64 y) x)
accuracy10.523820435515935
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
accuracy0
(/.f64 x z)
accuracy27.186966100831754
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
accuracy0
(sin.f64 y)
accuracy0.1171875
(/.f64 (sin.f64 y) y)
accuracy0.125
(/.f64 (/.f64 (sin.f64 y) y) z)
accuracy1.9110902571257098
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
Samples
56.0ms256×0valid
Compiler

Compiled 103 to 21 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 26.0ms (64.2% of total)
ival-mult: 8.0ms (19.8% of total)
ival-sin: 6.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series187.0ms (2.2%)

Memory
-0.1MiB live, 38.8MiB allocated
Counts
15 → 384
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sin.f64 y) y) z) (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (patch (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y (sin.f64 y)) z) (patch (*.f64 (/.f64 y (sin.f64 y)) z) #<representation binary64>) () ())
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) (patch (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (sin.f64 y) y) z) (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (sin.f64 y) y) z) (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (sin.f64 y) y) z) (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (sin.f64 y) y) z) (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<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 (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (patch (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (patch (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (patch (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (patch (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (sin.f64 y)) z) (patch (*.f64 (/.f64 y (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (sin.f64 y)) z) (patch (*.f64 (/.f64 y (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (sin.f64 y)) z) (patch (*.f64 (/.f64 y (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (sin.f64 y)) z) (patch (*.f64 (/.f64 y (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) (patch (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) (patch (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) (patch (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) (patch (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) (* y z)) (taylor inf z) (#s(alt (/.f64 (/.f64 (sin.f64 y) y) z) (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) (* y z)) (taylor inf z) (#s(alt (/.f64 (/.f64 (sin.f64 y) y) z) (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) (* y z)) (taylor inf z) (#s(alt (/.f64 (/.f64 (sin.f64 y) y) z) (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) (* y z)) (taylor inf z) (#s(alt (/.f64 (/.f64 (sin.f64 y) y) z) (patch (/.f64 (/.f64 (sin.f64 y) y) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) (patch (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) (patch (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) (patch (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) (patch (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
162.0ms
y
@-inf
((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y))
2.0ms
z
@-inf
((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y))
2.0ms
x
@-inf
((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y))
2.0ms
y
@inf
((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y))
2.0ms
x
@inf
((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y))

simplify376.0ms (4.3%)

Memory
1.5MiB live, 234.9MiB allocated
Algorithm
egg-herbie
Rules
30 578×lower-fma.f64
30 578×lower-fma.f32
6 552×lower-*.f64
6 552×lower-*.f32
3 826×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01272738
13852731
211872659
340252618
475192618
081982546
Stop Event
iter limit
node limit
Counts
384 → 381
Calls
Call 1
Inputs
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* y z)
(* y z)
(* y z)
(* y z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* y z)
(* y z)
(* y z)
(* y z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* y z)
(* y z)
(* y z)
(* y z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/ 1 z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (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)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* y z)
(* y z)
(* y z)
(* y z)
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
z
(+ z (* 1/6 (* (pow y 2) z)))
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z))))
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* y z)
(* y z)
(* y z)
(* y z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* y z)
(* y z)
(* y z)
(* y z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/ (sin y) (* y z))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ x z)
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(/ x z)
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(/ x z)
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(/ x z)
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(* x (sin y))
(*.f64 (sin.f64 y) x)
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(*.f64 (sin.f64 y) x)
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(/ (* x (sin y)) (* y z))
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(/ (* x (sin y)) (* y z))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
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(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ x y)
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(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
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(/.f64 x y)

rewrite188.0ms (2.2%)

Memory
22.8MiB live, 143.4MiB allocated
Rules
4 092×lower-*.f32
4 082×lower-*.f64
3 374×lower-/.f32
3 358×lower-/.f64
2 120×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02285
03685
110785
245585
3291085
0817285
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 862
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(/.f64 (/.f64 (sin.f64 y) y) z)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(/.f64 x z)
(*.f64 (sin.f64 y) x)
(*.f64 z y)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(/.f64 y (sin.f64 y))
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
Outputs
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eval391.0ms (4.5%)

Memory
15.1MiB live, 464.5MiB allocated
Compiler

Compiled 33 204 to 3 071 computations (90.8% saved)

prune155.0ms (1.8%)

Memory
-61.6MiB live, 218.6MiB allocated
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New2 323132 336
Fresh235
Picked145
Done011
Total2 326212 347
Accuracy
100.0%
Counts
2 347 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
83.4%
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
96.2%
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
52.3%
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
87.8%
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
47.2%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
96.3%
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
64.9%
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
66.5%
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z))
66.5%
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))
88.9%
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
97.0%
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
87.8%
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
52.1%
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z) x)
57.4%
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
82.5%
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y)))
52.1%
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)
40.8%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 (neg.f64 z) x))))
43.7%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z)))
57.5%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
57.5%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
Compiler

Compiled 374 to 321 computations (14.2% saved)

simplify350.0ms (4%)

Memory
21.2MiB live, 60.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (sin.f64 y))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) y)
cost-diff0
(/.f64 x (*.f64 (neg.f64 z) y))
cost-diff0
(/.f64 (*.f64 y y) z)
cost-diff0
#s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)))
cost-diff0
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)
cost-diff704
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))
cost-diff0
(*.f64 (*.f64 y y) z)
cost-diff0
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)
cost-diff0
#s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))
cost-diff0
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))
cost-diff0
#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z)
cost-diff0
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) z)
cost-diff0
(/.f64 (/.f64 (sin.f64 y) z) y)
cost-diff0
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
Rules
2 136×lower-fma.f32
2 132×lower-fma.f64
1 816×lower-*.f32
1 802×lower-*.f64
964×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033194
055192
196192
2193192
3499192
41345192
52236192
63076192
74040192
84335192
94448192
104513192
114523192
124769192
134873192
144873192
154873192
164981192
175117192
185173192
195200192
205209192
215213192
225213189
235221189
245249189
255251189
265251189
275323189
285794189
05794186
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))
x
#s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)
(*.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
#s(literal 1/6 binary64)
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)
#s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
x
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y)))
(/.f64 x (*.f64 (neg.f64 z) y))
x
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(neg.f64 (sin.f64 y))
(sin.f64 y)
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z)))
x
#s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))
#s(approx (* (/ y (sin y)) z) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z))
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z)
(*.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
#s(literal 1/6 binary64)
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z)) x)
#s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (/ (sin y) y) z) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z))
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) z)
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
x
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y))
(/.f64 x (*.f64 (neg.f64 z) y))
x
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(neg.f64 (sin.f64 y))
(sin.f64 y)

localize192.0ms (2.2%)

Memory
13.8MiB live, 93.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (sin.f64 y))
accuracy0
(neg.f64 z)
accuracy4.9599487757757466
(/.f64 x (*.f64 (neg.f64 z) y))
accuracy6.282957897759315
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y)))
accuracy0.08984375
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))
accuracy1.9110902571257098
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)
accuracy6.55646668198665
(/.f64 (*.f64 y y) z)
accuracy31.4629568142091
#s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)))
accuracy0.109375
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)
accuracy2.3254003818522064
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))
accuracy8.045176030403955
(*.f64 (*.f64 y y) z)
accuracy28.010830624946898
#s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))
accuracy0.125
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z)
accuracy1.9110902571257098
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
accuracy31.202612976566947
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0
(sin.f64 y)
accuracy0.15625
(/.f64 (sin.f64 y) z)
accuracy1.9110902571257098
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
accuracy7.587608979424053
(/.f64 (/.f64 (sin.f64 y) z) y)
Samples
174.0ms256×0valid
Compiler

Compiled 152 to 31 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-div: 63.0ms (45% of total)
ival-sin: 53.0ms (37.8% of total)
ival-mult: 13.0ms (9.3% of total)
const: 7.0ms (5% of total)
ival-add: 2.0ms (1.4% of total)
ival-neg: 2.0ms (1.4% 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
2.3MiB live, 40.5MiB allocated
Counts
20 → 504
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sin.f64 y) z) y) (patch (/.f64 (/.f64 (sin.f64 y) z) y) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) (patch (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)) (patch #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) (patch (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) z) (patch (*.f64 (*.f64 y y) z) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) (patch (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y y) z) (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 (neg.f64 z) y)) (patch (/.f64 x (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (neg.f64 (sin.f64 y)) (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) (patch (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) (patch (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) (patch (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) (patch (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 z) y)) (patch (/.f64 x (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 z) y)) (patch (/.f64 x (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 z) y)) (patch (/.f64 x (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 z) y)) (patch (/.f64 x (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
9.0ms
z
@0
((* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* (* y y) z) 1/6) z) (* (* y y) z) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (* y y) z) (/ x (* (neg z) y)) (* (neg z) y) (neg z) (neg (sin y)) (* (/ x (* (neg z) y)) (neg (sin y))))
4.0ms
z
@-inf
((* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* (* y y) z) 1/6) z) (* (* y y) z) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (* y y) z) (/ x (* (neg z) y)) (* (neg z) y) (neg z) (neg (sin y)) (* (/ x (* (neg z) y)) (neg (sin y))))
3.0ms
y
@-inf
((* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* (* y y) z) 1/6) z) (* (* y y) z) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (* y y) z) (/ x (* (neg z) y)) (* (neg z) y) (neg z) (neg (sin y)) (* (/ x (* (neg z) y)) (neg (sin y))))
3.0ms
y
@inf
((* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* (* y y) z) 1/6) z) (* (* y y) z) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (* y y) z) (/ x (* (neg z) y)) (* (neg z) y) (neg z) (neg (sin y)) (* (/ x (* (neg z) y)) (neg (sin y))))
3.0ms
z
@inf
((* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* (* y y) z) 1/6) z) (* (* y y) z) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (* y y) z) (/ x (* (neg z) y)) (* (neg z) y) (neg z) (neg (sin y)) (* (/ x (* (neg z) y)) (neg (sin y))))

simplify329.0ms (3.8%)

Memory
-20.2MiB live, 253.9MiB allocated
Algorithm
egg-herbie
Rules
24 990×lower-fma.f64
24 990×lower-fma.f32
5 350×lower-*.f64
5 350×lower-*.f32
3 766×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01353695
14073688
211963606
343013567
081073450
Stop Event
iter limit
node limit
Counts
504 → 501
Calls
Call 1
Inputs
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* -1 (/ (- (* 1/6 (pow y 2)) 1) z))
(* -1 (/ (- (* 1/6 (pow y 2)) 1) z))
(* -1 (/ (- (* 1/6 (pow y 2)) 1) z))
(* -1 (/ (- (* 1/6 (pow y 2)) 1) z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/ 1 z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
y
(* 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)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/ 1 z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
z
(+ z (* 1/6 (* (pow y 2) z)))
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z))))
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z))))
z
(+ z (* 1/6 (* (pow y 2) z)))
(+ z (* 1/6 (* (pow y 2) z)))
(+ z (* 1/6 (* (pow y 2) z)))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(/ 1 z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/ 1 z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* -1/6 (/ (pow y 2) z))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* -1/6 (/ (pow y 2) z))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* -1 (/ x (* y z)))
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(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
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(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
(* -1 (/ x (* y z)))
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(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
Outputs
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (sin y) (* y z))
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(/.f64 (/.f64 (sin.f64 y) y) z)
(/ (sin y) (* y z))
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(/ (sin y) (* y z))
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(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
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(/.f64 (sin.f64 y) z)
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(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(/.f64 (/.f64 (sin.f64 y) y) z)
(/ (sin y) (* y z))
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(/ (sin y) (* y z))
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(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* y z) (sin y))
(*.f64 (/.f64 y (sin.f64 y)) z)
(/ (* y z) (sin y))
(*.f64 (/.f64 y (sin.f64 y)) z)
(/ (* y z) (sin y))
(*.f64 (/.f64 y (sin.f64 y)) z)
(/ (* y z) (sin y))
(*.f64 (/.f64 y (sin.f64 y)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
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(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
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(/ (sin y) (* y z))
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(/ (pow y 2) z)
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(/ (pow y 2) z)
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(/ (pow y 2) z)
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(* -1 (/ x (* y z)))
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(* -1 (* y z))
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(* -1 (* y z))
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(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
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(/ (* x (sin y)) (* y z))
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(/ (sin y) (* y z))
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(/.f64 (sin.f64 y) z)
(/ (sin y) z)
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(/ (sin y) z)
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(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (sin y) (* y z))
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(/ (sin y) (* y z))
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(/ (sin y) (* y z))
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(/ (sin y) (* y z))
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(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* y z) (sin y))
(*.f64 (/.f64 y (sin.f64 y)) z)
(/ (* y z) (sin y))
(*.f64 (/.f64 y (sin.f64 y)) z)
(/ (* y z) (sin y))
(*.f64 (/.f64 y (sin.f64 y)) z)
(/ (* y z) (sin y))
(*.f64 (/.f64 y (sin.f64 y)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
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(*.f64 (*.f64 y y) z)
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(*.f64 (*.f64 y y) z)
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(*.f64 (*.f64 y y) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(/ (+ 1 (* -1/6 (pow y 2))) z)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (sin y) (* y z))
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(/ (sin y) (* y z))
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(/ (sin y) (* y z))
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(/ (sin y) (* y z))
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(/ (pow y 2) z)
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(/ (pow y 2) z)
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(/ (pow y 2) z)
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(* -1 (/ x (* y z)))
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(* -1 (/ x (* y z)))
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(* -1 (/ x (* y z)))
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(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
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(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
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(*.f64 (/.f64 y (sin.f64 y)) z)
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(*.f64 (/.f64 y (sin.f64 y)) z)
(/ (* y z) (sin y))
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(* 1/6 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
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(*.f64 (*.f64 y y) z)
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(*.f64 (*.f64 y y) z)
(* -1/6 (/ (pow y 2) z))
(*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64))
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z))))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(* -1 (/ x (* y z)))
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(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(* -1 (/ x (* y z)))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(* -1 (/ x (* y z)))
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(/.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ x (* y z)))
(/.f64 (/.f64 (neg.f64 x) z) y)
(* -1 (/ x (* y z)))
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(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(/ (* x (sin y)) (* y z))
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(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))

rewrite186.0ms (2.1%)

Memory
-2.3MiB live, 233.2MiB allocated
Rules
7 124×lower-fma.f32
7 120×lower-fma.f64
5 650×lower-*.f32
5 636×lower-*.f64
3 352×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033165
055163
1175163
21098163
08704163
Stop Event
iter limit
node limit
iter limit
Counts
20 → 866
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) z)
(sin.f64 y)
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))
#s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)
(*.f64 (*.f64 y y) z)
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)
#s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 y y) z)
(/.f64 x (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
(neg.f64 (sin.f64 y))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y)))
Outputs
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eval192.0ms (2.2%)

Memory
41.4MiB live, 388.4MiB allocated
Compiler

Compiled 18 731 to 2 592 computations (86.2% saved)

prune71.0ms (0.8%)

Memory
-37.6MiB live, 173.3MiB allocated
Pruning

28 alts after pruning (20 fresh and 8 done)

PrunedKeptTotal
New1 386121 398
Fresh3811
Picked235
Done055
Total1 391281 419
Accuracy
100.0%
Counts
1 419 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
83.4%
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
96.2%
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
87.8%
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
47.2%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
96.3%
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
64.9%
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
66.6%
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y z)))
66.6%
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)))
66.6%
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) y z)))
66.4%
(/.f64 x #s(approx (* (/ y (sin y)) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z)))))
66.5%
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)))
53.7%
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z z))))))
25.0%
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
88.9%
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
97.0%
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
87.8%
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
57.4%
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
82.5%
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y)))
52.3%
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
66.4%
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z))))
37.7%
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (-.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z))) (*.f64 z z))) x)
9.8%
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x)
40.8%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 (neg.f64 z) x))))
43.7%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z)))
57.5%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
57.5%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
54.1%
#s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)))
Compiler

Compiled 562 to 460 computations (18.1% saved)

simplify50.0ms (0.6%)

Memory
9.2MiB live, 47.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)
cost-diff0
(*.f64 z y)
cost-diff0
(fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)
cost-diff0
#s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z))
cost-diff0
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)))
cost-diff0
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
cost-diff0
#s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))
cost-diff0
#s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))
cost-diff0
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* (sin y) x) (*.f64 y x))
cost-diff0
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
cost-diff-384
(/.f64 (sin.f64 y) (*.f64 z y))
cost-diff0
(*.f64 z y)
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
Rules
540×lower-*.f32
524×lower-*.f64
344×times-frac
228×associate-*r*
196×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036267
057267
196264
2152264
3208264
4235264
5244264
6244264
7333264
8349264
9401264
10411264
11481264
12671264
13764264
14790264
15796264
16800264
17804264
0804264
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (*.f64 z y))
(sin.f64 y)
y
(*.f64 z y)
z
x
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 z y)
z
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
x
#s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))
#s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
(*.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
#s(literal 1/6 binary64)
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)))
x
#s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)
(*.f64 z y)
z
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
x
(*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
z
Outputs
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) y) z)
(sin.f64 y)
y
(*.f64 z y)
z
x
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y))
#s(approx (* (sin y) x) (*.f64 y x))
#s(approx (* (sin y) x) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 z y)
z
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
x
#s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))
#s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
(*.f64 (*.f64 y y) z)
(*.f64 y y)
y
z
#s(literal 1/6 binary64)
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)))
x
#s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z))
#s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)
(*.f64 z y)
z
y
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 (/.f64 x z) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
x
(*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
z

localize124.0ms (1.4%)

Memory
4.2MiB live, 238.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)
accuracy0.31009955475651413
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy2.3254003818522064
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
accuracy31.21417059748841
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.09765625
(fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)
accuracy0.296875
(*.f64 y #s(literal 1/6 binary64))
accuracy2.3254003818522064
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)))
accuracy28.010830624946898
#s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z))
accuracy2.3254003818522064
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
accuracy8.045176030403955
(*.f64 (*.f64 y y) z)
accuracy28.010830624946898
#s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))
accuracy30.5412353246341
#s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))
accuracy0
(*.f64 z y)
accuracy0
(*.f64 y x)
accuracy10.523820435515935
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
accuracy31.113038598754194
#s(approx (* (sin y) x) (*.f64 y x))
accuracy0
(*.f64 z y)
accuracy0
(sin.f64 y)
accuracy1.9110902571257098
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
accuracy8.674787824145197
(/.f64 (sin.f64 y) (*.f64 z y))
Samples
97.0ms256×0valid
Compiler

Compiled 167 to 29 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-sin: 41.0ms (53.9% of total)
ival-mult: 17.0ms (22.3% of total)
const: 8.0ms (10.5% of total)
ival-div: 6.0ms (7.9% of total)
ival-add: 4.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series92.0ms (1.1%)

Memory
14.6MiB live, 53.6MiB allocated
Counts
21 → 504
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) (*.f64 z y)) (patch (/.f64 (sin.f64 y) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) (patch (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #<representation binary64>) () ())
#s(alt #s(approx (* (sin y) x) (*.f64 y x)) (patch #s(approx (* (sin y) x) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (patch (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))) (patch #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z))) (patch (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)) (patch #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z) (patch (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) #<representation binary64>) () ())
#s(alt #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) z) (patch (*.f64 (*.f64 y y) z) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) (patch (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #<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 (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) (*.f64 z y)) (patch (/.f64 (sin.f64 y) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) (*.f64 z y)) (patch (/.f64 (sin.f64 y) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) (*.f64 z y)) (patch (/.f64 (sin.f64 y) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) (*.f64 z y)) (patch (/.f64 (sin.f64 y) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) (patch (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) (patch (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) (patch (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) (patch (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (patch (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (patch (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (patch (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (patch (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))) (patch #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))) (patch #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))) (patch #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))) (patch #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) (patch (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) (patch (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) (patch (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
63.0ms
y
@-inf
((* (/ (sin y) (* z y)) x) (sin y) (* z y) (/ (sin y) (* z y)) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* y x) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* (* y y) z) 1/6) z) (* (* (* y y) z) 1/6) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* z y) (* y 1/6)) z) (* (/ y (sin y)) z) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* (* y y) z) (* y 1/6) (/ x (* (/ y (sin y)) z)))
3.0ms
y
@inf
((* (/ (sin y) (* z y)) x) (sin y) (* z y) (/ (sin y) (* z y)) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* y x) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* (* y y) z) 1/6) z) (* (* (* y y) z) 1/6) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* z y) (* y 1/6)) z) (* (/ y (sin y)) z) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* (* y y) z) (* y 1/6) (/ x (* (/ y (sin y)) z)))
3.0ms
z
@-inf
((* (/ (sin y) (* z y)) x) (sin y) (* z y) (/ (sin y) (* z y)) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* y x) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* (* y y) z) 1/6) z) (* (* (* y y) z) 1/6) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* z y) (* y 1/6)) z) (* (/ y (sin y)) z) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* (* y y) z) (* y 1/6) (/ x (* (/ y (sin y)) z)))
2.0ms
z
@inf
((* (/ (sin y) (* z y)) x) (sin y) (* z y) (/ (sin y) (* z y)) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* y x) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* (* y y) z) 1/6) z) (* (* (* y y) z) 1/6) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* z y) (* y 1/6)) z) (* (/ y (sin y)) z) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* (* y y) z) (* y 1/6) (/ x (* (/ y (sin y)) z)))
2.0ms
z
@0
((* (/ (sin y) (* z y)) x) (sin y) (* z y) (/ (sin y) (* z y)) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* y x) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* (* y y) z) 1/6) z) (* (* (* y y) z) 1/6) (/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (+ (* (* z y) (* y 1/6)) z) (* (/ y (sin y)) z) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* (* y y) z) (* y 1/6) (/ x (* (/ y (sin y)) z)))

simplify171.0ms (2%)

Memory
11.5MiB live, 239.7MiB allocated
Algorithm
egg-herbie
Rules
16 106×lower-fma.f64
16 106×lower-fma.f32
5 290×lower-+.f64
5 290×lower-+.f32
4 142×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01453730
14533709
213433613
332473600
086433468
Stop Event
iter limit
node limit
Counts
504 → 498
Calls
Call 1
Inputs
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(* z (+ 1 (* 1/6 (pow y 2))))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* y z)
(* y z)
(* y z)
(* y z)
(/ 1 z)
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
z
(+ z (* 1/6 (* (pow y 2) z)))
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z))))
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z))))
z
(+ z (* 1/6 (* (pow y 2) z)))
(+ z (* 1/6 (* (pow y 2) z)))
(+ z (* 1/6 (* (pow y 2) z)))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
z
(+ z (* 1/6 (* (pow y 2) z)))
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z))))
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z))))
z
(+ z (* 1/6 (* (pow y 2) z)))
(+ z (* 1/6 (* (pow y 2) z)))
(+ z (* 1/6 (* (pow y 2) z)))
z
(+ z (* 1/6 (* (pow y 2) z)))
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z))))
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* 7/360 (pow y 2)))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(/ x z)
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(sin y)
(sin y)
(sin y)
(sin y)
(* y z)
(* y z)
(* y z)
(* y z)
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 7/360 (pow y 2))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(sin y)
(sin y)
(sin y)
(sin y)
(* y z)
(* y z)
(* y z)
(* y z)
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (sin y) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ (* y z) (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 7/360 (pow y 2))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
(/ (* x (sin y)) (* y z))
Outputs
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(* y z)
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(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/ (sin y) (* y z))
(/.f64 (/.f64 (sin.f64 y) y) z)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* 1/6 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
(* 1/6 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
(* 1/6 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
(* 1/6 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(* y z)
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(/ (* x (sin y)) (* y z))
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(/ (* x (sin y)) (* y z))
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(/ (* x (sin y)) (* y z))
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(/ (* x (sin y)) (* y z))
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(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* y z) (sin y))
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(/ (* y z) (sin y))
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(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
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(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
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(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
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(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
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(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
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(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
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(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
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(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
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(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
(*.f64 (/.f64 z (sin.f64 y)) y)
(/ (* y z) (sin y))
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(/ (* x (sin y)) (* y z))
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(/ (* x (sin y)) (* y z))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(* y z)
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(/ (sin y) (* y z))
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(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
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(/ (* x (sin y)) (* y z))
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(/ (* y z) (sin y))
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(* -1 (* z (- (* -1/6 (pow y 2)) 1)))
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(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
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(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
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(/ x z)
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(fma.f64 (/.f64 y z) (*.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) y) (/.f64 x z))
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 x z) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z))
y
(* y (+ 1 (* -1/6 (pow y 2))))
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(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
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(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
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(* y z)
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(/ x z)
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(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
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(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
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(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
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(* 1/6 (* (pow y 2) z))
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(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* (pow y 2) (+ (* 1/6 z) (/ z (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(/ (* y z) (sin y))
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(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 7/360 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 7/360 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 7/360 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* 7/360 (pow y 2))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(/ (* x (sin y)) (* y z))
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(/ (* x (sin y)) (* y z))
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(/ (* x (sin y)) (* y z))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(* x (sin y))
(*.f64 (sin.f64 y) x)
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(*.f64 (sin.f64 y) x)
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(/ (* x (sin y)) (* y z))
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(/ (* x (sin y)) (* y z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))

rewrite246.0ms (2.8%)

Memory
-22.9MiB live, 267.3MiB allocated
Rules
9 542×lower-fma.f32
9 536×lower-fma.f64
5 944×lower-*.f32
5 928×lower-*.f64
3 180×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036235
057235
1184232
21041232
08096232
Stop Event
iter limit
node limit
iter limit
Counts
21 → 618
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(sin.f64 y)
(*.f64 z y)
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
#s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))
#s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)))
#s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z))
(fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)
(*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 (*.f64 y y) z)
(*.f64 y #s(literal 1/6 binary64))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
Outputs
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eval245.0ms (2.8%)

Memory
10.2MiB live, 420.2MiB allocated
Compiler

Compiled 20 080 to 2 418 computations (88% saved)

prune54.0ms (0.6%)

Memory
-6.9MiB live, 155.7MiB allocated
Pruning

29 alts after pruning (19 fresh and 10 done)

PrunedKeptTotal
New1 18971 196
Fresh31215
Picked325
Done088
Total1 195291 224
Accuracy
100.0%
Counts
1 224 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
83.4%
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
96.2%
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
87.8%
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
40.0%
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)) (*.f64 z y))
47.2%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
96.3%
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
64.7%
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) z))
53.8%
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) z) y) (/.f64 (*.f64 z y) (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)))))))
66.6%
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) y z)))
66.4%
(/.f64 x #s(approx (* (/ y (sin y)) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z)))))
53.7%
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z z))))))
25.0%
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y))))
25.0%
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z))))
25.0%
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)))))
88.9%
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
97.0%
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
87.8%
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
57.4%
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
82.5%
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y)))
52.3%
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
25.0%
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 x))
37.7%
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (-.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z))) (*.f64 z z))) x)
9.8%
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x)
40.8%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 (neg.f64 z) x))))
43.7%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z)))
57.5%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
57.5%
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
54.1%
#s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)))
Compiler

Compiled 869 to 467 computations (46.3% saved)

regimes136.0ms (1.6%)

Memory
-16.0MiB live, 179.1MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
#s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z))))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)) (*.f64 z y))
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (-.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z))) (*.f64 z z))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z)))))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 (neg.f64 z) x))))
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z z))))))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) z) y) (/.f64 (*.f64 z y) (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)))))))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x))
Outputs
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Calls

6 calls:

44.0ms
y
38.0ms
z
13.0ms
(/.f64 (sin.f64 y) y)
13.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
12.0ms
x
Results
AccuracySegmentsBranch
99.8%2x
97.0%1y
99.8%2z
97.0%1(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
98.7%2(*.f64 x (/.f64 (sin.f64 y) y))
97.0%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 21 to 27 computations (-28.6% saved)

regimes26.0ms (0.3%)

Memory
29.1MiB live, 65.9MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
#s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z))))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)) (*.f64 z y))
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (-.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z))) (*.f64 z z))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z)))))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 (neg.f64 z) x))))
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z z))))))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) z) y) (/.f64 (*.f64 z y) (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)))))))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
Outputs
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
Calls

2 calls:

13.0ms
z
11.0ms
x
Results
AccuracySegmentsBranch
98.7%2z
97.0%1x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes79.0ms (0.9%)

Memory
12.8MiB live, 166.4MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
#s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z))))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)) (*.f64 z y))
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (-.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z))) (*.f64 z z))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z)))))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 (neg.f64 z) x))))
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z z))))))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) z) y) (/.f64 (*.f64 z y) (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)))))))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
Calls

5 calls:

25.0ms
y
15.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
14.0ms
(/.f64 (sin.f64 y) y)
12.0ms
z
10.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Results
AccuracySegmentsBranch
97.0%1y
97.0%1(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
97.0%1(/.f64 (sin.f64 y) y)
97.0%1(*.f64 x (/.f64 (sin.f64 y) y))
97.0%1z
Compiler

Compiled 20 to 24 computations (-20% saved)

regimes96.0ms (1.1%)

Memory
-28.3MiB live, 143.4MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
#s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z))))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)) (*.f64 z y))
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (-.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z))) (*.f64 z z))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z)))))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 (neg.f64 z) x))))
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z z))))))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) z) y) (/.f64 (*.f64 z y) (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)))))))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) (neg.f64 (sin.f64 y)))
Outputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Calls

6 calls:

34.0ms
(/.f64 (sin.f64 y) y)
15.0ms
z
14.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
12.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
87.8%1x
96.3%2y
87.8%1z
90.1%2(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
87.8%1(*.f64 x (/.f64 (sin.f64 y) y))
96.3%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 21 to 27 computations (-28.6% saved)

regimes21.0ms (0.2%)

Memory
12.2MiB live, 49.1MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
#s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z))))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)) (*.f64 z y))
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (-.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z))) (*.f64 z z))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z)))))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 (neg.f64 z) x))))
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z z))))))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) z) y) (/.f64 (*.f64 z y) (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)))))))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
Outputs
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Calls

2 calls:

11.0ms
(/.f64 (sin.f64 y) y)
9.0ms
y
Results
AccuracySegmentsBranch
96.3%2y
96.3%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes60.0ms (0.7%)

Memory
-25.0MiB live, 133.9MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
#s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z)
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (* (/ y (sin y)) z) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z))))
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)) (*.f64 z y))
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (-.f64 z (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z))) (*.f64 z z))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z)))))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 (neg.f64 z) x))))
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) z) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z z))))))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) z) y) (/.f64 (*.f64 z y) (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) z)))))))
Outputs
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) y z)))
Calls

6 calls:

11.0ms
(/.f64 (sin.f64 y) y)
10.0ms
z
9.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
9.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
66.6%1x
66.6%1z
66.6%1(*.f64 x (/.f64 (sin.f64 y) y))
66.6%1(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
66.6%1y
66.6%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 21 to 27 computations (-28.6% saved)

regimes30.0ms (0.3%)

Memory
24.9MiB live, 67.8MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
#s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)))
Outputs
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)))
Calls

6 calls:

8.0ms
z
4.0ms
x
4.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
y
4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
66.5%1y
66.5%1(/.f64 (sin.f64 y) y)
66.5%1z
66.5%1x
66.5%1(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
66.5%1(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 21 to 27 computations (-28.6% saved)

regimes28.0ms (0.3%)

Memory
-9.5MiB live, 66.8MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
#s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)))
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z) x)
Outputs
#s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)))))
Calls

6 calls:

6.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms
z
4.0ms
x
4.0ms
(/.f64 (sin.f64 y) y)
4.0ms
y
Results
AccuracySegmentsBranch
67.4%2y
62.3%2z
66.6%2(/.f64 (sin.f64 y) y)
57.5%1x
66.1%2(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
64.5%2(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 21 to 27 computations (-28.6% saved)

regimes11.0ms (0.1%)

Memory
-6.3MiB live, 29.8MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x)
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) z) y) y))))
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64)))))
Outputs
(/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)))))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Calls

2 calls:

7.0ms
(/.f64 (sin.f64 y) y)
4.0ms
y
Results
AccuracySegmentsBranch
66.3%2(/.f64 (sin.f64 y) y)
66.3%2y
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes6.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x)
Outputs
(*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y)))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Calls

2 calls:

3.0ms
(/.f64 (sin.f64 y) y)
2.0ms
y
Results
AccuracySegmentsBranch
66.1%2y
66.1%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes14.0ms (0.2%)

Memory
5.2MiB live, 50.5MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x)))
Outputs
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Calls

5 calls:

5.0ms
y
2.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
2.0ms
(/.f64 (sin.f64 y) y)
2.0ms
z
2.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Results
AccuracySegmentsBranch
59.7%2z
59.1%2(*.f64 x (/.f64 (sin.f64 y) y))
60.2%2(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
60.1%2y
60.1%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 24 computations (-20% saved)

regimes9.0ms (0.1%)

Memory
-12.1MiB live, 27.3MiB allocated
Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x)
Outputs
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Calls

5 calls:

2.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
2.0ms
z
2.0ms
y
1.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
57.5%1(*.f64 x (/.f64 (sin.f64 y) y))
57.5%1z
57.5%1(/.f64 (sin.f64 y) y)
57.5%1y
57.5%1(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 20 to 24 computations (-20% saved)

bsearch6.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
1.0888443531969539e-65
1.3926706589495671e-65
Samples
3.0ms48×0valid
Compiler

Compiled 59 to 61 computations (-3.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (47.7% of total)
ival-sin: 1.0ms (47.7% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
-4.7MiB live, 34.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
5.416298196624028e+88
1.242407418580661e+93
Samples
9.0ms128×0valid
Compiler

Compiled 139 to 141 computations (-1.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 3.0ms (54% of total)
ival-div: 2.0ms (36% of total)
ival-mult: 1.0ms (18% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999997570675
0.9999999999999999
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999997570675
0.9999999999999999
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch15.0ms (0.2%)

Memory
-14.9MiB live, 24.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.803125783716146e+19
3.435142339546643e+20
Samples
9.0ms112×0valid
Compiler

Compiled 165 to 167 computations (-1.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 4.0ms (69.6% of total)
ival-div: 1.0ms (17.4% of total)
ival-mult: 1.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2957042709512169e-120
1.2221260606403719e-111
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.7689983054366975e-126
1.2957042709512169e-120
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.192181198255755e-308
3.921323365515745e-306
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify35.0ms (0.4%)

Memory
7.4MiB live, 56.5MiB allocated
Algorithm
egg-herbie
Rules
46×*-commutative-binary64-*.f64
16×neg-sub0-binary64--.f64-neg.f64
16×neg-mul-1-binary64-*.f64-neg.f64
14×+-commutative-binary64-+.f64
14×sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086309
1110309
2120309
3132309
4144309
5151309
6155309
7156309
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 1600709841616659/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))
(if (<=.f64 z #s(literal 31999999999999998927491606894844801594405954963844016095349587113893752173996135381968355328 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 281474976654361/281474976710656 binary64)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 281474976654361/281474976710656 binary64)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)))
(if (<=.f64 y #s(literal 35500000000000000000 binary64)) #s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5814709794364855/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y))))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))
Outputs
(if (<=.f64 x #s(literal 1600709841616659/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))
(if (<=.f64 x #s(literal 1600709841616659/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z))
(if (<=.f64 z #s(literal 31999999999999998927491606894844801594405954963844016095349587113893752173996135381968355328 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)))
(if (<=.f64 z #s(literal 31999999999999998927491606894844801594405954963844016095349587113893752173996135381968355328 binary64)) (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 281474976654361/281474976710656 binary64)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 281474976654361/281474976710656 binary64)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 z y)) y z)))
(/.f64 x #s(approx (* (/ y (sin y)) z) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)))
(if (<=.f64 y #s(literal 35500000000000000000 binary64)) #s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y))))))
(if (<=.f64 y #s(literal 35500000000000000000 binary64)) #s(approx (/ x (* (/ y (sin y)) z)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 z y))))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5814709794364855/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y))))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5814709794364855/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (/.f64 x #s(approx (* (/ y (sin y)) z) #s(approx (+ (* (* (* y y) z) 1/6) z) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 z y))))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (*.f64 (/.f64 x (*.f64 (neg.f64 z) y)) #s(approx (neg (sin y)) (neg.f64 y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 z) y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal 1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))

soundness1.8s (20.2%)

Memory
6.9MiB live, 1 200.1MiB allocated
Rules
30 578×lower-fma.f64
30 578×lower-fma.f32
24 990×lower-fma.f64
24 990×lower-fma.f32
13 374×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02285
03685
110785
245585
3291085
0817285
0720
01120
13120
215120
3104820
4527120
0808420
036235
057235
1184232
21041232
08096232
062634
1181634
2523614
31580606
42550606
54169606
64849606
75080606
85581606
08769582
033165
055163
1175163
21098163
08704163
01353695
14073688
211963606
343013567
081073450
01272738
13852731
211872659
340252618
475192618
081982546
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 584 to 353 computations (39.6% saved)

preprocess718.0ms (8.3%)

Memory
-30.9MiB live, 370.4MiB allocated
Remove

(negabs z)

(abs y)

Compiler

Compiled 656 to 298 computations (54.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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