Linear.Quaternion:$cexp from linear-1.19.1.3

Time bar (total: 10.3s)

analyze12.0ms (0.1%)

Memory
22.4MiB live, 22.4MiB 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
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample789.0ms (7.7%)

Memory
8.1MiB live, 1 039.3MiB allocated
Samples
619.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 424.0ms
ival-sin: 279.0ms (65.8% of total)
ival-mult: 69.0ms (16.3% of total)
ival-div: 67.0ms (15.8% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess55.0ms (0.5%)

Memory
-22.8MiB live, 57.0MiB allocated
Algorithm
egg-herbie
Rules
630×times-frac
300×associate-*r*
288×associate-*l*
182×unsub-neg
180×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01638
14938
212538
333138
4112038
5182538
6191838
7195238
8198038
9199238
10199238
056
186
2106
3126
4136
0136
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* x (/ (sin y) y))
Outputs
(* x (/ (sin y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
Call 2
Inputs
(* x (/ (sin y) y))
(* (neg x) (/ (sin y) y))
(* x (/ (sin (neg y)) (neg y)))
(neg (* (neg x) (/ (sin y) y)))
(neg (* x (/ (sin (neg y)) (neg y))))
(* y (/ (sin x) x))
Outputs
(* x (/ (sin y) y))
(/ (* x (sin y)) y)
(* (neg x) (/ (sin y) y))
(* (sin y) (/ x (neg y)))
(* x (/ (sin (neg y)) (neg y)))
(/ (* x (sin y)) y)
(neg (* (neg x) (/ (sin y) y)))
(/ (* x (sin y)) y)
(neg (* x (/ (sin (neg y)) (neg y))))
(* (sin y) (/ x (neg y)))
(* y (/ (sin x) x))
(/ (* y (sin x)) x)
Symmetry

(abs y)

(negabs x)

explain66.0ms (0.6%)

Memory
-1.2MiB live, 113.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
34.0ms512×0valid
Compiler

Compiled 48 to 24 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 13.0ms (63.2% of total)
ival-div: 4.0ms (19.4% of total)
ival-mult: 3.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 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))
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
*-commutative
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
1814
21014
31214
41314
01314
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x (/ (sin y) y))
x
(/ (sin y) y)
(sin y)
y
Outputs
(* x (/ (sin y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
y

localize26.0ms (0.3%)

Memory
-4.4MiB live, 35.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
accuracy99.8%
(/.f64 (sin.f64 y) y)
Samples
20.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 10.0ms (74% of total)
ival-div: 2.0ms (14.8% of total)
ival-mult: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#<alt (* x (/ (sin y) y))>
#<alt (/ (sin y) y)>
#<alt (sin y)>
Outputs
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* x (/ (sin y) y))
1.0ms
y
@-inf
(* x (/ (sin y) y))
1.0ms
y
@inf
(* x (/ (sin y) y))
1.0ms
x
@-inf
(* x (/ (sin y) y))
0.0ms
x
@inf
(* x (/ (sin y) y))

rewrite85.0ms (0.8%)

Memory
22.3MiB live, 99.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
836×*-lowering-*.f32
836×*-lowering-*.f64
718×/-lowering-/.f32
718×/-lowering-/.f64
220×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
11612
26912
333112
0179312
Stop Event
iter limit
iter limit
node limit
Counts
3 → 153
Calls
Call 1
Inputs
(* x (/ (sin y) y))
(/ (sin y) y)
(sin y)
Outputs
(+.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 0 binary64)) (/.f64 (*.f64 x (sin.f64 y)) y))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(fma.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) y))
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) y))
(neg.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 (*.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) #s(literal -1 binary64))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x (neg.f64 y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 x (neg.f64 y))) (sin.f64 y))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y))))
(*.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) #s(literal -1 binary64))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (sin.f64 y)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) y))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 y (sin.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)))) (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(+.f64 (sin.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y))))
(sin.f64 y)
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (sin.f64 y)))
(neg.f64 (sin.f64 (neg.f64 y)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)))

simplify971.0ms (9.5%)

Memory
3.4MiB live, 564.5MiB allocated
Algorithm
egg-herbie
Rules
16 120×accelerator-lowering-fma.f32
16 120×accelerator-lowering-fma.f64
4 374×*-lowering-*.f32
4 374×*-lowering-*.f64
2 386×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043306
1118306
2310296
3910294
41439294
52227294
63349294
73639294
84369294
96831294
08504276
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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 (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
Outputs
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/ (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) 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)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

eval213.0ms (2.1%)

Memory
-18.0MiB live, 60.0MiB allocated
Compiler

Compiled 2 208 to 442 computations (80% saved)

prune32.0ms (0.3%)

Memory
1.9MiB live, 81.5MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New18813201
Fresh000
Picked011
Done000
Total18814202
Accuracy
100.0%
Counts
202 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.3%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
45.4%
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
45.5%
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
56.4%
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y)))
92.2%
(/.f64 (*.f64 x (sin.f64 y)) y)
99.7%
(/.f64 x (/.f64 y (sin.f64 y)))
89.2%
(*.f64 (/.f64 x y) (sin.f64 y))
92.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
45.5%
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
99.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
64.4%
(*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
58.3%
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
46.0%
x
Compiler

Compiled 306 to 203 computations (33.7% saved)

simplify504.0ms (4.9%)

Memory
9.3MiB live, 332.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (sin.f64 y))
cost-diff0
(*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
cost-diff256
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y)))
cost-diff640
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff0
(/.f64 (*.f64 x (sin.f64 y)) y)
cost-diff0
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
cost-diff0
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 y (sin.f64 y))
cost-diff384
(/.f64 x (/.f64 y (sin.f64 y)))
Rules
5 536×accelerator-lowering-fma.f32
5 536×accelerator-lowering-fma.f64
3 044×*-lowering-*.f32
3 044×*-lowering-*.f64
1 360×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021108
162108
2214100
3845100
42791100
54603100
66081100
76729100
86856100
96918100
107480100
0812896
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ x (/ y (sin y)))
x
(/ y (sin y))
y
(sin y)
x
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)
(* y y)
y
(* x (+ (* y (* y 1/120)) -1/6))
x
(+ (* y (* y 1/120)) -1/6)
(* y 1/120)
1/120
-1/6
(/ (* x (sin y)) y)
(* x (sin y))
x
(sin y)
y
(* x (* (/ (neg (sin y)) (neg (* y y))) y))
x
(* (/ (neg (sin y)) (neg (* y y))) y)
(/ (neg (sin y)) (neg (* y y)))
(neg (sin y))
(sin y)
y
(neg (* y y))
(* y y)
Outputs
(/ x (/ y (sin y)))
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(/ y (sin y))
(/.f64 y (sin.f64 y))
y
(sin y)
(sin.f64 y)
x
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 x y)) x)
(* y y)
(*.f64 y y)
y
(* x (+ (* y (* y 1/120)) -1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
x
(+ (* y (* y 1/120)) -1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* y 1/120)
(*.f64 y #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
y
(* x (* (/ (neg (sin y)) (neg (* y y))) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(* (/ (neg (sin y)) (neg (* y y))) y)
(/.f64 (sin.f64 y) y)
(/ (neg (sin y)) (neg (* y y)))
(/.f64 (sin.f64 y) (*.f64 y y))
(neg (sin y))
(sin.f64 (neg.f64 y))
(sin y)
(sin.f64 y)
y
(neg (* y y))
(*.f64 y (neg.f64 y))
(* y y)
(*.f64 y y)

localize101.0ms (1%)

Memory
10.7MiB live, 166.0MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 (sin.f64 y))
accuracy99.8%
(*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
accuracy81.9%
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y)))
accuracy75.6%
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 x (sin.f64 y))
accuracy92.3%
(/.f64 (*.f64 x (sin.f64 y)) y)
accuracy99.9%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
accuracy99.9%
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
accuracy99.8%
(*.f64 y #s(literal 1/120 binary64))
accuracy93.6%
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
accuracy99.7%
(/.f64 y (sin.f64 y))
Samples
76.0ms256×0valid
Compiler

Compiled 112 to 23 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
const: 23.0ms (42% of total)
ival-mult: 11.0ms (20.1% of total)
ival-div: 9.0ms (16.4% of total)
ival-sin: 7.0ms (12.8% of total)
ival-add: 3.0ms (5.5% of total)
ival-neg: 2.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-8.8MiB live, 29.2MiB allocated
Counts
14 → 240
Calls
Call 1
Inputs
#<alt (/ x (/ y (sin y)))>
#<alt (/ y (sin y))>
#<alt (sin y)>
#<alt (+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)>
#<alt (* y y)>
#<alt (* x (+ (* y (* y 1/120)) -1/6))>
#<alt (+ (* y (* y 1/120)) -1/6)>
#<alt (/ (* x (sin y)) y)>
#<alt (* x (sin y))>
#<alt (* (/ (neg (sin y)) (neg (* y y))) y)>
#<alt (/ (neg (sin y)) (neg (* y y)))>
#<alt (* x (* (/ (neg (sin y)) (neg (* y y))) y))>
#<alt (neg (sin y))>
#<alt (* y 1/120)>
Outputs
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* -1/6 x)>
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))>
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))>
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt -1/6>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) y)>
#<alt (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) y)>
#<alt (/ (sin y) (pow y 2))>
#<alt (/ (sin y) (pow y 2))>
#<alt (/ (sin y) (pow y 2))>
#<alt (/ (sin y) (pow y 2))>
#<alt (/ (sin y) (pow y 2))>
#<alt (/ (sin y) (pow y 2))>
#<alt (/ (sin y) (pow y 2))>
#<alt (/ (sin y) (pow y 2))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (* -1 y)>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)
2.0ms
y
@-inf
(/ y (sin y))
1.0ms
x
@inf
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)
1.0ms
y
@inf
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)
0.0ms
y
@inf
(/ y (sin y))

rewrite402.0ms (3.9%)

Memory
10.5MiB live, 566.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 308×accelerator-lowering-fma.f32
7 308×accelerator-lowering-fma.f64
5 508×*-lowering-*.f32
5 508×*-lowering-*.f64
2 848×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02186
111682
280578
3779778
0851974
Stop Event
iter limit
node limit
Counts
14 → 941
Calls
Call 1
Inputs
(/ x (/ y (sin y)))
(/ y (sin y))
(sin y)
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)
(* y y)
(* x (+ (* y (* y 1/120)) -1/6))
(+ (* y (* y 1/120)) -1/6)
(/ (* x (sin y)) y)
(* x (sin y))
(* (/ (neg (sin y)) (neg (* y y))) y)
(/ (neg (sin y)) (neg (* y y)))
(* x (* (/ (neg (sin y)) (neg (* y y))) y))
(neg (sin y))
(* y 1/120)
Outputs
(+.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 0 binary64)) (/.f64 (*.f64 x (sin.f64 y)) y))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(fma.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) y))
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) y))
(neg.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 (*.f64 y y))) (*.f64 x y)))
(neg.f64 (*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y))))
(neg.f64 (*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 (*.f64 y y)))))
(neg.f64 (*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (neg.f64 (*.f64 y y)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x)) (*.f64 y y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (*.f64 x y) (/.f64 (*.f64 y y) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x)) (neg.f64 (*.f64 y y)))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (*.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x))) (*.f64 y y))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y)
(/.f64 (*.f64 (*.f64 y (sin.f64 y)) x) (*.f64 y y))
(/.f64 (*.f64 x (*.f64 y (sin.f64 y))) (*.f64 y y))
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x)) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (*.f64 x y) (sin.f64 y)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (sin.f64 y)))
(/.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (*.f64 x y)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (sin.f64 y))
(/.f64 (*.f64 y (*.f64 x (sin.f64 y))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 x y) (/.f64 (sin.f64 y) y)) y)
(/.f64 (*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (neg.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) (*.f64 x y)) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (*.f64 y y) (sin.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 (*.f64 y y) (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) y) (*.f64 y y))
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x)) y) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x)) (neg.f64 y)) y)
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y (sin.f64 y)) x)) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) y)
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(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (sin.f64 y)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 0 binary64))))
(*.f64 y (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (sin.f64 y) #s(literal -1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 (neg.f64 (*.f64 y (sin.f64 y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 y #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) y)

simplify422.0ms (4.1%)

Memory
-37.5MiB live, 812.6MiB allocated
Algorithm
egg-herbie
Rules
17 320×accelerator-lowering-fma.f32
17 320×accelerator-lowering-fma.f64
5 408×*-lowering-*.f32
5 408×*-lowering-*.f64
2 008×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01101741
13151697
28421671
327041661
457531661
086681541
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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 (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))))))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
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) (* 1/120 (* x (pow y 2))))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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 (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ 1 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)
(/ (sin y) (pow y 2))
(/ (sin y) (pow y 2))
(/ (sin y) (pow y 2))
(/ (sin y) (pow y 2))
(/ (sin y) (pow y 2))
(/ (sin y) (pow y 2))
(/ (sin y) (pow y 2))
(/ (sin y) (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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 (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -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))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
Outputs
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* 1/120 (* x (pow y 4)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 x (*.f64 y (*.f64 y y)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* 1/120 (* x (pow y 4)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 x (*.f64 y (*.f64 y y)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* 1/120 (pow y 2)) 1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* 1/120 (* x (pow y 2)))
(*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* 1/120 (* x (pow y 2)))
(*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (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) 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)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1/6 (pow y 2))) y)
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) y)
(/.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) y)
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) y)
(/ (sin y) (pow y 2))
(/.f64 (sin.f64 y) (*.f64 y y))
(/ (sin y) (pow y 2))
(/.f64 (sin.f64 y) (*.f64 y y))
(/ (sin y) (pow y 2))
(/.f64 (sin.f64 y) (*.f64 y y))
(/ (sin y) (pow y 2))
(/.f64 (sin.f64 y) (*.f64 y y))
(/ (sin y) (pow y 2))
(/.f64 (sin.f64 y) (*.f64 y y))
(/ (sin y) (pow y 2))
(/.f64 (sin.f64 y) (*.f64 y y))
(/ (sin y) (pow y 2))
(/.f64 (sin.f64 y) (*.f64 y y))
(/ (sin y) (pow y 2))
(/.f64 (sin.f64 y) (*.f64 y y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(* -1 y)
(neg.f64 y)
(* y (- (* 1/6 (pow y 2)) 1))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* -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))
(* -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))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))

eval299.0ms (2.9%)

Memory
14.1MiB live, 289.3MiB allocated
Compiler

Compiled 24 099 to 2 457 computations (89.8% saved)

prune284.0ms (2.8%)

Memory
3.8MiB live, 205.8MiB allocated
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New1 314121 326
Fresh538
Picked145
Done011
Total1 320201 340
Accuracy
100.0%
Counts
1 340 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.4%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
45.3%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
45.5%
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
99.5%
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
38.0%
(/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)
92.2%
(/.f64 (*.f64 x (sin.f64 y)) y)
38.4%
(/.f64 (*.f64 x y) y)
90.0%
(/.f64 (sin.f64 y) (/.f64 y x))
56.3%
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
56.3%
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
56.3%
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
45.5%
(/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
99.7%
(/.f64 x (/.f64 y (sin.f64 y)))
81.3%
(/.f64 x (*.f64 y (/.f64 y (*.f64 y (sin.f64 y)))))
89.2%
(*.f64 (/.f64 x y) (sin.f64 y))
92.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
45.5%
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
45.9%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
46.0%
x
Compiler

Compiled 396 to 246 computations (37.9% saved)

simplify258.0ms (2.5%)

Memory
-6.1MiB live, 228.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
(fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff320
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
cost-diff1024
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
cost-diff0
(*.f64 y #s(literal -1/6 binary64))
cost-diff0
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff1088
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
Rules
3 990×*-lowering-*.f32
3 990×*-lowering-*.f64
3 302×accelerator-lowering-fma.f32
3 302×accelerator-lowering-fma.f64
2 584×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033175
191173
2216173
3630173
41505173
52861173
63235173
73689173
84605173
94948173
105032173
117179173
127793173
08050156
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ (sin y) y) (/ 1 x))
(/ (sin y) y)
(sin y)
y
(/ 1 x)
1
x
(* x (+ (* y (* y -1/6)) 1))
x
(+ (* y (* y -1/6)) 1)
y
(* y -1/6)
-1/6
1
(* x (* (/ 1 y) y))
x
(* (/ 1 y) y)
(/ 1 y)
1
y
(/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1))
x
(+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)
(* y y)
y
(+ (* y (* y 7/360)) 1/6)
(* y 7/360)
7/360
1/6
1
(/ x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1))
x
(+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1)
(* y y)
y
(+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)
(* y (+ (* (* y y) 31/15120) 7/360))
(+ (* (* y y) 31/15120) 7/360)
31/15120
7/360
1/6
1
Outputs
(/ (/ (sin y) y) (/ 1 x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
y
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* x (+ (* y (* y -1/6)) 1))
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)
x
(+ (* y (* y -1/6)) 1)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
y
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(* x (* (/ 1 y) y))
x
x
(* (/ 1 y) y)
#s(literal 1 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
x
(+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* y y)
(*.f64 y y)
y
(+ (* y (* y 7/360)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))
(* y 7/360)
(*.f64 y #s(literal 7/360 binary64))
7/360
#s(literal 7/360 binary64)
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
(/ x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
x
(+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1)
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* y y)
(*.f64 y y)
y
(+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))
(* y (+ (* (* y y) 31/15120) 7/360))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)))
(+ (* (* y y) 31/15120) 7/360)
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
31/15120
#s(literal 31/15120 binary64)
7/360
#s(literal 7/360 binary64)
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)

localize170.0ms (1.7%)

Memory
13.0MiB live, 148.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
accuracy99.8%
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)))
accuracy99.7%
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
accuracy97.8%
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
accuracy99.9%
(fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64))
accuracy99.8%
(*.f64 y #s(literal 7/360 binary64))
accuracy97.0%
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
accuracy99.9%
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
accuracy93.8%
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(/.f64 (sin.f64 y) y)
accuracy99.6%
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
Samples
85.0ms256×0valid
Compiler

Compiled 170 to 35 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-sin: 21.0ms (31.4% of total)
ival-mult: 17.0ms (25.4% of total)
const: 12.0ms (17.9% of total)
ival-div: 10.0ms (14.9% of total)
ival-add: 7.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
-15.3MiB live, 22.3MiB allocated
Counts
20 → 300
Calls
Call 1
Inputs
#<alt (/ (/ (sin y) y) (/ 1 x))>
#<alt (/ (sin y) y)>
#<alt (sin y)>
#<alt (/ 1 x)>
#<alt (* x (+ (* y (* y -1/6)) 1))>
#<alt (+ (* y (* y -1/6)) 1)>
#<alt (* y -1/6)>
#<alt (* (/ 1 y) y)>
#<alt (* x (* (/ 1 y) y))>
#<alt (/ 1 y)>
#<alt (/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1))>
#<alt (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)>
#<alt (* y y)>
#<alt (+ (* y (* y 7/360)) 1/6)>
#<alt (/ x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1))>
#<alt (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1)>
#<alt (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)>
#<alt (* y 7/360)>
#<alt (+ (* (* y y) 31/15120) 7/360)>
#<alt (* y (+ (* (* y y) 31/15120) 7/360))>
Outputs
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 7/360 x))) (* -7/2160 x)))) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))>
#<alt (* 360/7 (/ x (pow y 4)))>
#<alt (/ (+ (* -21600/49 (/ x (pow y 2))) (* 360/7 x)) (pow y 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1296000/343 x) (* 129600/49 x)) (pow y 4))) (* 360/7 x)) (* 21600/49 (/ x (pow y 2)))) (pow y 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -7776000/343 x) (* -60/7 (+ (* -1296000/343 x) (* 129600/49 x)))) (pow y 6))) (* 360/7 x)) (+ (* -1296000/343 (/ x (pow y 4))) (+ (* 21600/49 (/ x (pow y 2))) (* 129600/49 (/ x (pow y 4)))))) (pow y 4))>
#<alt (* 360/7 (/ x (pow y 4)))>
#<alt (/ (+ (* -21600/49 (/ x (pow y 2))) (* 360/7 x)) (pow y 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1296000/343 x) (* 129600/49 x)) (pow y 4))) (* 360/7 x)) (* 21600/49 (/ x (pow y 2)))) (pow y 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -7776000/343 x) (* -60/7 (+ (* -1296000/343 x) (* 129600/49 x)))) (pow y 6))) (* 360/7 x)) (+ (* -1296000/343 (/ x (pow y 4))) (+ (* 21600/49 (/ x (pow y 2))) (* 129600/49 (/ x (pow y 4)))))) (pow y 4))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))>
#<alt (* 7/360 (pow y 4))>
#<alt (* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 7/360 (pow y 4))>
#<alt (* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt 1/6>
#<alt (+ 1/6 (* 7/360 (pow y 2)))>
#<alt (+ 1/6 (* 7/360 (pow y 2)))>
#<alt (+ 1/6 (* 7/360 (pow y 2)))>
#<alt (* 7/360 (pow y 2))>
#<alt (* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 7/360 (pow y 2))>
#<alt (* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt (/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 7/360 x))) (+ (* -7/2160 x) (* 31/15120 x))))) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))>
#<alt (* 15120/31 (/ x (pow y 6)))>
#<alt (/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6))>
#<alt (/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6))>
#<alt (* 15120/31 (/ x (pow y 6)))>
#<alt (/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6))>
#<alt (/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))>
#<alt (* 31/15120 (pow y 6))>
#<alt (* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 31/15120 (pow y 6))>
#<alt (* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt 1/6>
#<alt (+ 1/6 (* 7/360 (pow y 2)))>
#<alt (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))>
#<alt (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))>
#<alt (* 31/15120 (pow y 4))>
#<alt (* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))>
#<alt (* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))>
#<alt (* 31/15120 (pow y 4))>
#<alt (* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))>
#<alt (* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))>
#<alt (* 7/360 y)>
#<alt (* 7/360 y)>
#<alt (* 7/360 y)>
#<alt (* 7/360 y)>
#<alt (* 7/360 y)>
#<alt (* 7/360 y)>
#<alt (* 7/360 y)>
#<alt (* 7/360 y)>
#<alt (* 7/360 y)>
#<alt (* 7/360 y)>
#<alt (* 7/360 y)>
#<alt (* 7/360 y)>
#<alt 7/360>
#<alt (+ 7/360 (* 31/15120 (pow y 2)))>
#<alt (+ 7/360 (* 31/15120 (pow y 2)))>
#<alt (+ 7/360 (* 31/15120 (pow y 2)))>
#<alt (* 31/15120 (pow y 2))>
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* 31/15120 (pow y 2))>
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* 7/360 y)>
#<alt (* y (+ 7/360 (* 31/15120 (pow y 2))))>
#<alt (* y (+ 7/360 (* 31/15120 (pow y 2))))>
#<alt (* y (+ 7/360 (* 31/15120 (pow y 2))))>
#<alt (* 31/15120 (pow y 3))>
#<alt (* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* 31/15120 (pow y 3))>
#<alt (* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))>
Calls

75 calls:

TimeVariablePointExpression
8.0ms
y
@0
(* y -1/6)
3.0ms
x
@-inf
(* x (* (/ 1 y) y))
1.0ms
x
@0
(/ x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1))
1.0ms
x
@0
(/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1))
1.0ms
y
@inf
(/ x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1))

rewrite641.0ms (6.2%)

Memory
11.1MiB live, 476.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 248×accelerator-lowering-fma.f32
7 248×accelerator-lowering-fma.f64
4 224×*-lowering-*.f32
4 224×*-lowering-*.f64
3 802×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033153
1202149
21504149
08307132
Stop Event
iter limit
node limit
Counts
20 → 632
Calls
Call 1
Inputs
(/ (/ (sin y) y) (/ 1 x))
(/ (sin y) y)
(sin y)
(/ 1 x)
(* x (+ (* y (* y -1/6)) 1))
(+ (* y (* y -1/6)) 1)
(* y -1/6)
(* (/ 1 y) y)
(* x (* (/ 1 y) y))
(/ 1 y)
(/ x (+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1))
(+ (* (* y y) (+ (* y (* y 7/360)) 1/6)) 1)
(* y y)
(+ (* y (* y 7/360)) 1/6)
(/ x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1))
(+ (* (* y y) (+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)) 1)
(+ (* y (* y (+ (* (* y y) 31/15120) 7/360))) 1/6)
(* y 7/360)
(+ (* (* y y) 31/15120) 7/360)
(* y (+ (* (* y y) 31/15120) 7/360))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))) (/.f64 (sin.f64 y) (/.f64 y (neg.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)))
(neg.f64 (/.f64 (sin.f64 y) (/.f64 y (neg.f64 x))))
(neg.f64 (*.f64 x (neg.f64 (/.f64 (sin.f64 y) y))))
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (neg.f64 (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) x))) y)
(pow.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) y))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x))))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 x y) y) (/.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (sin.f64 y) y)))
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y)))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64))) y)
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(+.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)))
(fma.f64 y (/.f64 x y) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x)
(fma.f64 y (pow.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 (/.f64 x y) y (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 x y) (*.f64 y #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 1 binary64)) y (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal -7/360 binary64)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal -49/129600 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) #s(literal -31/777600 binary64))) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64)) #s(literal 343/46656000 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal -7/360 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal -49/129600 binary64)) y)))
(/.f64 (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64))) (*.f64 y (*.f64 y y)) (*.f64 #s(literal 343/46656000 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64)))) (*.f64 y #s(literal 7/360 binary64))))))
(/.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))) (*.f64 #s(literal -7/360 binary64) y))) (fma.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))) (*.f64 #s(literal -7/360 binary64) y)))
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64)) #s(literal 343/46656000 binary64))) (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) #s(literal -31/777600 binary64))))
(/.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal -49/129600 binary64))) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal -7/360 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64)) #s(literal 343/46656000 binary64)) y) (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) #s(literal -31/777600 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal -49/129600 binary64)) y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal -7/360 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64))) (*.f64 y (*.f64 y y)) (*.f64 #s(literal 343/46656000 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64)))) (*.f64 y #s(literal 7/360 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))) (*.f64 #s(literal -7/360 binary64) y)))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))) (*.f64 #s(literal -7/360 binary64) y))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64)) #s(literal 343/46656000 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) #s(literal -31/777600 binary64)))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal -49/129600 binary64)))) (fma.f64 (*.f64 y y) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64)) #s(literal 343/46656000 binary64)) y)) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) #s(literal -31/777600 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal -49/129600 binary64)) y)) (fma.f64 (*.f64 y y) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)))
(/.f64 (fma.f64 #s(literal 343/46656000 binary64) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y y) #s(literal 49/129600 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)))) (*.f64 (*.f64 y #s(literal 7/360 binary64)) (*.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64))))) (-.f64 (*.f64 y #s(literal 7/360 binary64)) (*.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))
(*.f64 (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) y)
(*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64))) (*.f64 y (*.f64 y y)) (*.f64 #s(literal 343/46656000 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64)))) (*.f64 y #s(literal 7/360 binary64)))))))
(*.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))) (*.f64 #s(literal -7/360 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))) (*.f64 #s(literal -7/360 binary64) y))))
(*.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64)) #s(literal 343/46656000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) #s(literal -31/777600 binary64)))))
(*.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal -49/129600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal -7/360 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64)) #s(literal 343/46656000 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) #s(literal -31/777600 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal -49/129600 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal -7/360 binary64))))

simplify855.0ms (8.3%)

Memory
25.8MiB live, 690.5MiB allocated
Algorithm
egg-herbie
Rules
15 698×accelerator-lowering-fma.f32
15 698×accelerator-lowering-fma.f64
5 754×*-lowering-*.f32
5 754×*-lowering-*.f64
2 362×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02082381
16192357
217982261
359862260
082322073
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
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 (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
1
1
1
1
1
1
1
1
1
1
1
1
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 7/360 x))) (* -7/2160 x)))) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))
(* 360/7 (/ x (pow y 4)))
(/ (+ (* -21600/49 (/ x (pow y 2))) (* 360/7 x)) (pow y 4))
(/ (- (+ (* -1 (/ (+ (* -1296000/343 x) (* 129600/49 x)) (pow y 4))) (* 360/7 x)) (* 21600/49 (/ x (pow y 2)))) (pow y 4))
(/ (- (+ (* -1 (/ (+ (* -7776000/343 x) (* -60/7 (+ (* -1296000/343 x) (* 129600/49 x)))) (pow y 6))) (* 360/7 x)) (+ (* -1296000/343 (/ x (pow y 4))) (+ (* 21600/49 (/ x (pow y 2))) (* 129600/49 (/ x (pow y 4)))))) (pow y 4))
(* 360/7 (/ x (pow y 4)))
(/ (+ (* -21600/49 (/ x (pow y 2))) (* 360/7 x)) (pow y 4))
(/ (- (+ (* -1 (/ (+ (* -1296000/343 x) (* 129600/49 x)) (pow y 4))) (* 360/7 x)) (* 21600/49 (/ x (pow y 2)))) (pow y 4))
(/ (- (+ (* -1 (/ (+ (* -7776000/343 x) (* -60/7 (+ (* -1296000/343 x) (* 129600/49 x)))) (pow y 6))) (* 360/7 x)) (+ (* -1296000/343 (/ x (pow y 4))) (+ (* 21600/49 (/ x (pow y 2))) (* 129600/49 (/ x (pow y 4)))))) (pow y 4))
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)))))
(* 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 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)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(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)))
(* 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)))))
(* 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)))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))))
x
(+ x (* -1/6 (* x (pow y 2))))
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(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 7/360 x))) (+ (* -7/2160 x) (* 31/15120 x))))) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))
(* 15120/31 (/ x (pow y 6)))
(/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6))
(/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6))
(/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6))
(* 15120/31 (/ x (pow y 6)))
(/ (+ (* -4445280/961 (/ x (pow y 2))) (* 15120/31 x)) (pow y 6))
(/ (- (+ (* -1 (/ (+ (* -1306912320/29791 x) (* 38102400/961 x)) (pow y 4))) (* 15120/31 x)) (* 4445280/961 (/ x (pow y 2)))) (pow y 6))
(/ (- (+ (* -1 (/ (+ (* -11202105600/29791 x) (+ (* -294/31 (+ (* -1306912320/29791 x) (* 38102400/961 x))) (* 228614400/961 x))) (pow y 6))) (* 15120/31 x)) (+ (* -1306912320/29791 (/ x (pow y 4))) (+ (* 4445280/961 (/ x (pow y 2))) (* 38102400/961 (/ x (pow y 4)))))) (pow y 6))
1
(+ 1 (* 1/6 (pow y 2)))
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(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(* 31/15120 (pow y 6))
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 31/15120 (pow y 6))
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))
(+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))
(* 31/15120 (pow y 4))
(* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* 31/15120 (pow y 4))
(* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* 7/360 y)
(* 7/360 y)
(* 7/360 y)
(* 7/360 y)
(* 7/360 y)
(* 7/360 y)
(* 7/360 y)
(* 7/360 y)
(* 7/360 y)
(* 7/360 y)
(* 7/360 y)
(* 7/360 y)
7/360
(+ 7/360 (* 31/15120 (pow y 2)))
(+ 7/360 (* 31/15120 (pow y 2)))
(+ 7/360 (* 31/15120 (pow y 2)))
(* 31/15120 (pow y 2))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* 31/15120 (pow y 2))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* 7/360 y)
(* y (+ 7/360 (* 31/15120 (pow y 2))))
(* y (+ 7/360 (* 31/15120 (pow y 2))))
(* y (+ 7/360 (* 31/15120 (pow y 2))))
(* 31/15120 (pow y 3))
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* 31/15120 (pow y 3))
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
Outputs
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (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) 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)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -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)
(* -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)
(* -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)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 7/360 x))) (* -7/2160 x)))) (+ (* -1/36 x) (* 7/360 x)))) (* 1/6 x))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal 1/540 binary64))) (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x)
(* 360/7 (/ x (pow y 4)))
(/.f64 (*.f64 x #s(literal 360/7 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))
(/ (+ (* -21600/49 (/ x (pow y 2))) (* 360/7 x)) (pow y 4))
(/.f64 (fma.f64 x #s(literal 360/7 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -21600/49 binary64))) (*.f64 y (*.f64 y (*.f64 y y))))
(/ (- (+ (* -1 (/ (+ (* -1296000/343 x) (* 129600/49 x)) (pow y 4))) (* 360/7 x)) (* 21600/49 (/ x (pow y 2)))) (pow y 4))
(/.f64 (fma.f64 x (-.f64 #s(literal 360/7 binary64) (/.f64 #s(literal -388800/343 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -21600/49 binary64))) (*.f64 y (*.f64 y (*.f64 y y))))
(/ (- (+ (* -1 (/ (+ (* -7776000/343 x) (* -60/7 (+ (* -1296000/343 x) (* 129600/49 x)))) (pow y 6))) (* 360/7 x)) (+ (* -1296000/343 (/ x (pow y 4))) (+ (* 21600/49 (/ x (pow y 2))) (* 129600/49 (/ x (pow y 4)))))) (pow y 4))
(/.f64 (+.f64 (/.f64 (*.f64 x #s(literal 31104000/2401 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x #s(literal 360/7 binary64) (fma.f64 (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 388800/343 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -21600/49 binary64))))) (*.f64 y (*.f64 y (*.f64 y y))))
(* 360/7 (/ x (pow y 4)))
(/.f64 (*.f64 x #s(literal 360/7 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))
(/ (+ (* -21600/49 (/ x (pow y 2))) (* 360/7 x)) (pow y 4))
(/.f64 (fma.f64 x #s(literal 360/7 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -21600/49 binary64))) (*.f64 y (*.f64 y (*.f64 y y))))
(/ (- (+ (* -1 (/ (+ (* -1296000/343 x) (* 129600/49 x)) (pow y 4))) (* 360/7 x)) (* 21600/49 (/ x (pow y 2)))) (pow y 4))
(/.f64 (fma.f64 x (-.f64 #s(literal 360/7 binary64) (/.f64 #s(literal -388800/343 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -21600/49 binary64))) (*.f64 y (*.f64 y (*.f64 y y))))
(/ (- (+ (* -1 (/ (+ (* -7776000/343 x) (* -60/7 (+ (* -1296000/343 x) (* 129600/49 x)))) (pow y 6))) (* 360/7 x)) (+ (* -1296000/343 (/ x (pow y 4))) (+ (* 21600/49 (/ x (pow y 2))) (* 129600/49 (/ x (pow y 4)))))) (pow y 4))
(/.f64 (+.f64 (/.f64 (*.f64 x #s(literal 31104000/2401 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x #s(literal 360/7 binary64) (fma.f64 (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 388800/343 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -21600/49 binary64))))) (*.f64 y (*.f64 y (*.f64 y y))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
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(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))

eval232.0ms (2.3%)

Memory
-10.6MiB live, 359.1MiB allocated
Compiler

Compiled 23 609 to 2 241 computations (90.5% saved)

prune305.0ms (3%)

Memory
-17.7MiB live, 314.9MiB allocated
Pruning

31 alts after pruning (23 fresh and 8 done)

PrunedKeptTotal
New95915974
Fresh2810
Picked235
Done055
Total96331994
Accuracy
100.0%
Counts
994 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.4%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
45.3%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
45.5%
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
45.5%
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
45.5%
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
45.4%
(/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) x))
99.5%
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
25.3%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x))
45.0%
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
38.0%
(/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)
92.2%
(/.f64 (*.f64 x (sin.f64 y)) y)
38.4%
(/.f64 (*.f64 x y) y)
14.3%
(/.f64 (*.f64 x #s(literal 360/7 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))
90.0%
(/.f64 (sin.f64 y) (/.f64 y x))
55.8%
(/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) #s(literal 1 binary64)))
56.3%
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
56.3%
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
99.7%
(/.f64 x (/.f64 y (sin.f64 y)))
81.3%
(/.f64 x (*.f64 y (/.f64 y (*.f64 y (sin.f64 y)))))
44.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x)))
45.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
89.2%
(*.f64 (/.f64 x y) (sin.f64 y))
45.0%
(*.f64 (/.f64 x y) y)
92.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
25.2%
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)))
45.5%
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
45.5%
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
45.9%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
2.9%
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
46.0%
x
Compiler

Compiled 701 to 420 computations (40.1% saved)

simplify686.0ms (6.7%)

Memory
28.8MiB live, 1 089.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (*.f64 y y))
cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
cost-diff1024
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)
cost-diff1088
(/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
cost-diff0
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
cost-diff0
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
cost-diff1024
(/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)
cost-diff0
(*.f64 x #s(literal -1/6 binary64))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
cost-diff0
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
Rules
34 146×accelerator-lowering-fma.f32
34 146×accelerator-lowering-fma.f64
5 368×+-lowering-+.f64
5 368×+-lowering-+.f32
5 010×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024136
166128
2132128
3221128
4425126
5918126
62291126
73004126
84753126
94825126
104831126
114831126
125475126
135679126
145708126
155736126
165770126
175806126
185844126
195884126
205926126
215970126
226016126
09508119
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ 1 y) (* (sin y) x))
(/ 1 y)
1
y
(* (sin y) x)
(sin y)
x
(* x (* -1/6 (* y y)))
x
(* -1/6 (* y y))
-1/6
(* y y)
y
(+ (* (* y y) (* x -1/6)) x)
(* y y)
y
(* x -1/6)
x
-1/6
(/ (* x (+ (* y (* -1/6 (* y y))) y)) y)
(* x (+ (* y (* -1/6 (* y y))) y))
x
(+ (* y (* -1/6 (* y y))) y)
y
(* -1/6 (* y y))
-1/6
(* y y)
(/ (/ (+ (* -1/6 (* y (* y y))) y) y) (/ 1 x))
(/ (+ (* -1/6 (* y (* y y))) y) y)
(+ (* -1/6 (* y (* y y))) y)
-1/6
(* y (* y y))
y
(* y y)
(/ 1 x)
1
x
Outputs
(* (/ 1 y) (* (sin y) x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(* (sin y) x)
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
x
(* x (* -1/6 (* y y)))
(*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
x
(* -1/6 (* y y))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
-1/6
#s(literal -1/6 binary64)
(* y y)
(*.f64 y y)
y
(+ (* (* y y) (* x -1/6)) x)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x)
(* y y)
(*.f64 y y)
y
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
x
-1/6
#s(literal -1/6 binary64)
(/ (* x (+ (* y (* -1/6 (* y y))) y)) y)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x)
(* x (+ (* y (* -1/6 (* y y))) y))
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
x
(+ (* y (* -1/6 (* y y))) y)
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
y
(* -1/6 (* y y))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
-1/6
#s(literal -1/6 binary64)
(* y y)
(*.f64 y y)
(/ (/ (+ (* -1/6 (* y (* y y))) y) y) (/ 1 x))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x)
(/ (+ (* -1/6 (* y (* y y))) y) y)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ (* -1/6 (* y (* y y))) y)
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
-1/6
#s(literal -1/6 binary64)
(* y (* y y))
(*.f64 y (*.f64 y y))
y
(* y y)
(*.f64 y y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize96.0ms (0.9%)

Memory
0.0MiB live, 212.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
accuracy99.8%
(*.f64 y (*.f64 y y))
accuracy93.6%
(/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) x))
accuracy93.0%
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y)
accuracy99.9%
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
accuracy97.4%
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
accuracy85.2%
(/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)
accuracy100.0%
(*.f64 y y)
accuracy99.6%
(*.f64 x #s(literal -1/6 binary64))
accuracy93.7%
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
accuracy100.0%
(*.f64 y y)
accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
accuracy89.6%
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 (sin.f64 y) x)
accuracy92.1%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
Samples
61.0ms256×0valid
Compiler

Compiled 145 to 26 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 15.0ms (34.4% of total)
ival-sin: 11.0ms (25.2% of total)
ival-div: 8.0ms (18.4% of total)
const: 5.0ms (11.5% of total)
ival-add: 3.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
-13.8MiB live, 24.6MiB allocated
Counts
16 → 276
Calls
Call 1
Inputs
#<alt (* (/ 1 y) (* (sin y) x))>
#<alt (/ 1 y)>
#<alt (* (sin y) x)>
#<alt (sin y)>
#<alt (* x (* -1/6 (* y y)))>
#<alt (* -1/6 (* y y))>
#<alt (* y y)>
#<alt (+ (* (* y y) (* x -1/6)) x)>
#<alt (* x -1/6)>
#<alt (/ (* x (+ (* y (* -1/6 (* y y))) y)) y)>
#<alt (* x (+ (* y (* -1/6 (* y y))) y))>
#<alt (+ (* y (* -1/6 (* y y))) y)>
#<alt (/ (/ (+ (* -1/6 (* y (* y y))) y) y) (/ 1 x))>
#<alt (/ (+ (* -1/6 (* y (* y y))) y) y)>
#<alt (+ (* -1/6 (* y (* y y))) y)>
#<alt (* y (* y y))>
Outputs
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x (+ y (* -1/6 (pow y 3))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
Calls

69 calls:

TimeVariablePointExpression
17.0ms
x
@0
(* x (* -1/6 (* y y)))
1.0ms
x
@0
(/ (* x (+ (* y (* -1/6 (* y y))) y)) y)
1.0ms
y
@inf
(/ (* x (+ (* y (* -1/6 (* y y))) y)) y)
1.0ms
y
@-inf
(/ (* x (+ (* y (* -1/6 (* y y))) y)) y)
0.0ms
y
@0
(/ (* x (+ (* y (* -1/6 (* y y))) y)) y)

rewrite455.0ms (4.4%)

Memory
-7.0MiB live, 863.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 474×accelerator-lowering-fma.f32
9 474×accelerator-lowering-fma.f64
6 294×*-lowering-*.f32
6 294×*-lowering-*.f64
3 700×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024111
113199
296499
0844392
Stop Event
iter limit
node limit
Counts
16 → 1 202
Calls
Call 1
Inputs
(* (/ 1 y) (* (sin y) x))
(/ 1 y)
(* (sin y) x)
(sin y)
(* x (* -1/6 (* y y)))
(* -1/6 (* y y))
(* y y)
(+ (* (* y y) (* x -1/6)) x)
(* x -1/6)
(/ (* x (+ (* y (* -1/6 (* y y))) y)) y)
(* x (+ (* y (* -1/6 (* y y))) y))
(+ (* y (* -1/6 (* y y))) y)
(/ (/ (+ (* -1/6 (* y (* y y))) y) y) (/ 1 x))
(/ (+ (* -1/6 (* y (* y y))) y) y)
(+ (* -1/6 (* y (* y y))) y)
(* y (* y y))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 y) x)))
(neg.f64 (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 y x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) y)
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) y)
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) x))) y)
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 (/.f64 y x)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) y)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 y) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (neg.f64 x))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 x))
(sin.f64 y)
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 y (*.f64 y x)) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 x (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y x)))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y))
(*.f64 (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)))
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x))
(*.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) y)
(*.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 y)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(+.f64 x (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) x)
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (*.f64 y (*.f64 y x)) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (+.f64 x (*.f64 (*.f64 y (*.f64 y x)) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) x)
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y x)) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x)
(fma.f64 (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y x)) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y (*.f64 y x)) #s(literal 1/6 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) y x)
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64) y)) (*.f64 y (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) y)))
(*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) y)) (*.f64 y (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) y))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1/1296 binary64) (*.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 y (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (fma.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 y (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))))) (*.f64 y (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) y)) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64))) (neg.f64 (*.f64 y (*.f64 y y))))) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) y) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) #s(literal -1 binary64))
(pow.f64 y #s(literal 3 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(*.f64 y (*.f64 y y))
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y y) y)
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))

simplify367.0ms (3.6%)

Memory
27.1MiB live, 774.0MiB allocated
Algorithm
egg-herbie
Rules
12 522×accelerator-lowering-fma.f32
12 522×accelerator-lowering-fma.f64
4 798×*-lowering-*.f32
4 798×*-lowering-*.f64
1 372×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0771864
12411778
26861770
322871766
450991766
085121637
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
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 (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x (+ y (* -1/6 (pow y 3))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
Outputs
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 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 (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 x (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
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(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* -1/6 (pow y 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* -1/6 (pow y 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))

eval327.0ms (3.2%)

Memory
9.5MiB live, 520.2MiB allocated
Compiler

Compiled 41 183 to 2 598 computations (93.7% saved)

prune435.0ms (4.2%)

Memory
-113.5MiB live, 539.6MiB allocated
Pruning

36 alts after pruning (26 fresh and 10 done)

PrunedKeptTotal
New1 564121 576
Fresh41418
Picked325
Done088
Total1 571361 607
Accuracy
100.0%
Counts
1 607 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.4%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
45.3%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
45.5%
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
15.3%
(/.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) y)
99.5%
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
45.2%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (neg.f64 y))) (/.f64 #s(literal 1 binary64) x))
45.0%
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
22.0%
(/.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))))) x) (*.f64 (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) y))
38.0%
(/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)
37.9%
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) y)
92.2%
(/.f64 (*.f64 x (sin.f64 y)) y)
38.4%
(/.f64 (*.f64 x y) y)
14.3%
(/.f64 (*.f64 x #s(literal 360/7 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))
2.9%
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) y)
90.0%
(/.f64 (sin.f64 y) (/.f64 y x))
55.8%
(/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) #s(literal 1 binary64)))
56.3%
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
56.3%
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
99.7%
(/.f64 x (/.f64 y (sin.f64 y)))
81.3%
(/.f64 x (*.f64 y (/.f64 y (*.f64 y (sin.f64 y)))))
45.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
89.2%
(*.f64 (/.f64 x y) (sin.f64 y))
45.0%
(*.f64 (/.f64 x y) y)
37.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x))
92.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
38.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))
2.9%
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64))
2.9%
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
2.9%
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)))
45.5%
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
45.5%
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
45.9%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
2.9%
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y))))
2.9%
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))))
46.0%
x
Compiler

Compiled 1 100 to 461 computations (58.1% saved)

regimes63.0ms (0.6%)

Memory
-32.5MiB live, 165.9MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
(/.f64 (*.f64 x y) y)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) y)
(/.f64 (*.f64 x #s(literal 360/7 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x))
(/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
(/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (neg.f64 y))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)))
(/.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))))) x) (*.f64 (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) y))
(/.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
(*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
(/.f64 x (*.f64 y (/.f64 y (*.f64 y (sin.f64 y)))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y)))
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
Calls

4 calls:

16.0ms
x
15.0ms
y
15.0ms
(/.f64 (sin.f64 y) y)
14.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(*.f64 x (/.f64 (sin.f64 y) y))
99.7%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes104.0ms (1%)

Memory
18.1MiB live, 96.3MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
(/.f64 (*.f64 x y) y)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) y)
(/.f64 (*.f64 x #s(literal 360/7 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x))
(/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
(/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (neg.f64 y))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)))
(/.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))))) x) (*.f64 (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) y))
(/.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
Calls

4 calls:

54.0ms
(/.f64 (sin.f64 y) y)
24.0ms
x
12.0ms
y
12.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(/.f64 (sin.f64 y) y)
99.7%1(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes48.0ms (0.5%)

Memory
19.0MiB live, 98.3MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
(/.f64 (*.f64 x y) y)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) y)
(/.f64 (*.f64 x #s(literal 360/7 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x))
(/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
(/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 31/15120 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (neg.f64 y))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x)))
(/.f64 (*.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))))) x) (*.f64 (-.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) y))
(/.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) y)
Outputs
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
Calls

4 calls:

12.0ms
(/.f64 (sin.f64 y) y)
12.0ms
y
11.0ms
x
11.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
56.3%1x
56.3%1y
56.3%1(*.f64 x (/.f64 (sin.f64 y) y))
56.3%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes23.0ms (0.2%)

Memory
-23.8MiB live, 52.7MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
(/.f64 (*.f64 x y) y)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
Calls

4 calls:

6.0ms
y
6.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms
x
4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
56.0%2y
55.8%2(/.f64 (sin.f64 y) y)
55.7%2x
55.5%2(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes15.0ms (0.1%)

Memory
-27.7MiB live, 33.2MiB allocated
Accuracy

Total -28.1b remaining (-81.3%)

Threshold costs -28.1b (-81.3%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
Outputs
x
Calls

4 calls:

6.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)
3.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
46.0%1(*.f64 x (/.f64 (sin.f64 y) y))
46.0%1x
46.0%1(/.f64 (sin.f64 y) y)
46.0%1y
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch15.0ms (0.1%)

Memory
34.4MiB live, 34.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
347294153760.2702
2697187888002637.5
Samples
10.0ms128×0valid
Compiler

Compiled 163 to 114 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 5.0ms (73.5% of total)
ival-div: 1.0ms (14.7% of total)
ival-mult: 1.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
-16.7MiB live, 22.0MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02138
12938
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal 1200000000000000 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x y) y))
x
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal 1200000000000000 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x y) y))
(if (<=.f64 y #s(literal 1200000000000000 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 y (/.f64 x y)))
x

soundness725.0ms (7.1%)

Memory
-0.1MiB live, 511.9MiB allocated
Rules
17 320×accelerator-lowering-fma.f32
17 320×accelerator-lowering-fma.f64
16 120×accelerator-lowering-fma.f32
16 120×accelerator-lowering-fma.f64
7 248×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043306
1118306
2310296
3910294
41439294
52227294
63349294
73639294
84369294
96831294
08504276
0512
11612
26912
333112
0179312
033153
1202149
21504149
08307132
01101741
13151697
28421671
327041661
457531661
086681541
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 97 to 59 computations (39.2% saved)

preprocess95.0ms (0.9%)

Memory
4.0MiB live, 202.8MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 160 to 92 computations (42.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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