Linear.Quaternion:$ccosh from linear-1.19.1.3

Time bar (total: 12.7s)

analyze9.0ms (0.1%)

Memory
25.6MiB live, 25.6MiB 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
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
87.5%87.4%12.5%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
93.8%93.7%6.2%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
96.9%96.8%3.1%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
98.4%98.3%1.6%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.4s (11%)

Memory
-11.0MiB live, 1 309.8MiB allocated
Samples
1000.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 601.0ms
ival-sin: 297.0ms (49.4% of total)
ival-mult: 176.0ms (29.3% of total)
ival-sinh: 65.0ms (10.8% of total)
ival-div: 55.0ms (9.2% of total)
ival-true: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess412.0ms (3.3%)

Memory
-6.5MiB live, 203.3MiB allocated
Algorithm
egg-herbie
Rules
2 532×accelerator-lowering-fma.f32
2 532×accelerator-lowering-fma.f64
1 668×*-lowering-*.f32
1 668×*-lowering-*.f64
934×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
16041
219237
370837
4223137
5529237
6733437
067
1157
2357
3747
41607
53407
68617
717627
830317
940237
1045177
1145967
1245967
1345967
1450167
1552007
1652007
1752007
1852007
1952387
2053047
2153047
2253047
053047
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(/ (* (sin x) (sinh y)) x)
Outputs
(/ (* (sin x) (sinh y)) x)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
Symmetry

(abs x)

(negabs y)

explain139.0ms (1.1%)

Memory
-7.0MiB live, 109.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-3(5.710814660608053e-293 1.180208338290647e-19)(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
00-0-(sinh.f64 y)
00-0-y
00-0-(*.f64 (sin.f64 x) (sinh.f64 y))
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)u/n370
(*.f64 (sin.f64 x) (sinh.f64 y))underflow37
Confusion
Predicted +Predicted -
+373
-0216
Precision
1.0
Recall
0.925
Confusion?
Predicted +Predicted MaybePredicted -
+3703
-00216
Precision?
1.0
Recall?
0.925
Freqs
test
numberfreq
0219
137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
103.0ms512×0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-sin: 11.0ms (44.3% of total)
ival-mult: 7.0ms (28.2% of total)
ival-div: 3.0ms (12.1% of total)
ival-sinh: 3.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.2%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify312.0ms (2.5%)

Memory
2.1MiB live, 115.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 y)
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (sinh.f64 y))
cost-diff0
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Rules
2 532×accelerator-lowering-fma.f32
2 532×accelerator-lowering-fma.f64
1 668×*-lowering-*.f32
1 668×*-lowering-*.f64
934×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11518
23518
37418
416018
534018
686118
7176218
8303118
9402318
10451718
11459618
12459618
13459618
14501618
15520018
16520018
17520018
18520018
19523818
20530418
21530418
22530418
0530418
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* (sin x) (sinh y)) x)
(* (sin x) (sinh y))
(sin x)
x
(sinh y)
y
Outputs
(/ (* (sin x) (sinh y)) x)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(* (sin x) (sinh y))
(*.f64 (sin.f64 x) (sinh.f64 y))
(sin x)
(sin.f64 x)
x
(sinh y)
(sinh.f64 y)
y

localize51.0ms (0.4%)

Memory
4.8MiB live, 43.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sinh.f64 y)
accuracy100.0%
(sin.f64 x)
accuracy99.9%
(*.f64 (sin.f64 x) (sinh.f64 y))
accuracy86.2%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Samples
43.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 28.0ms (76.3% of total)
ival-sin: 6.0ms (16.4% of total)
ival-div: 2.0ms (5.5% of total)
ival-sinh: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/ (* (sin x) (sinh y)) x)>
#<alt (* (sin x) (sinh y))>
#<alt (sin x)>
#<alt (sinh y)>
Outputs
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))>
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))>
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (/ (* y (sin x)) x)>
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))>
#<alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))>
#<alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* y (sin x))>
#<alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))>
#<alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))>
#<alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
Calls

18 calls:

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

rewrite255.0ms (2%)

Memory
-27.3MiB live, 494.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 860×*-lowering-*.f32
4 860×*-lowering-*.f64
4 172×/-lowering-/.f32
4 172×/-lowering-/.f64
1 474×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
12316
211316
383516
0822116
Stop Event
iter limit
node limit
Counts
4 → 495
Calls
Call 1
Inputs
(/ (* (sin x) (sinh y)) x)
(* (sin x) (sinh y))
(sin x)
(sinh y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 x))) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 x))))
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(fma.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal -2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 x (sin.f64 x)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 4 binary64)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (*.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 3 binary64))) (*.f64 (neg.f64 x) (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (*.f64 (/.f64 x (sin.f64 x)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 x (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) x)) #s(literal -2 binary64))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (/.f64 x (sin.f64 x)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 #s(literal -1 binary64) (sinh.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (*.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y)))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y)))))
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(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 y y)) #s(literal 1 binary64))))
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(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (+.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 y y)) (expm1.f64 (-.f64 (neg.f64 y) y))))

simplify391.0ms (3.1%)

Memory
9.1MiB live, 679.3MiB allocated
Algorithm
egg-herbie
Rules
15 192×accelerator-lowering-fma.f32
15 192×accelerator-lowering-fma.f64
6 376×+-lowering-+.f64
6 376×+-lowering-+.f32
3 958×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113944
1373889
21229849
33047828
08158792
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
Outputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(/ (* y (sin x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(*.f64 y (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y 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 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(*.f64 y (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (sin.f64 x) (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))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))

eval63.0ms (0.5%)

Memory
3.0MiB live, 156.4MiB allocated
Compiler

Compiled 9 378 to 1 544 computations (83.5% saved)

prune70.0ms (0.6%)

Memory
27.7MiB live, 185.8MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5616567
Fresh000
Picked101
Done000
Total5626568
Accuracy
100.0%
Counts
568 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
39.0%
(/.f64 (*.f64 (sin.f64 x) y) x)
51.3%
(/.f64 (*.f64 x (sinh.f64 y)) x)
99.2%
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
99.9%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
52.7%
(*.f64 y (/.f64 (sin.f64 x) x))
Compiler

Compiled 114 to 72 computations (36.8% saved)

simplify402.0ms (3.2%)

Memory
-6.3MiB live, 606.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y))
cost-diff1024
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) y)
cost-diff0
(/.f64 (*.f64 (sin.f64 x) y) x)
cost-diff0
(sinh.f64 y)
cost-diff0
(*.f64 x (sinh.f64 y))
cost-diff1024
(/.f64 (*.f64 x (sinh.f64 y)) x)
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) x)
cost-diff0
(*.f64 y (/.f64 (sin.f64 x) x))
cost-diff0
(sin.f64 x)
cost-diff0
(sinh.f64 y)
cost-diff0
(/.f64 (sinh.f64 y) x)
cost-diff0
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
Rules
11 472×accelerator-lowering-fma.f32
11 472×accelerator-lowering-fma.f64
4 930×*-lowering-*.f32
4 930×*-lowering-*.f64
2 552×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019103
14497
29697
320895
463895
5273095
6510895
0824192
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (sinh y) x) (sin x))
(/ (sinh y) x)
(sinh y)
y
x
(sin x)
(* y (/ (sin x) x))
y
(/ (sin x) x)
(sin x)
x
(/ (* x (sinh y)) x)
(* x (sinh y))
x
(sinh y)
y
(/ (* (sin x) y) x)
(* (sin x) y)
(sin x)
x
y
(/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x)
(* (+ (* x (* (* x x) -1/6)) x) (sinh y))
(+ (* x (* (* x x) -1/6)) x)
x
(* (* x x) -1/6)
(* x x)
-1/6
(sinh y)
y
Outputs
(* (/ (sinh y) x) (sin x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(/ (sinh y) x)
(/.f64 (sinh.f64 y) x)
(sinh y)
(sinh.f64 y)
y
x
(sin x)
(sin.f64 x)
(* y (/ (sin x) x))
(*.f64 y (/.f64 (sin.f64 x) x))
y
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
x
(/ (* x (sinh y)) x)
(sinh.f64 y)
(* x (sinh y))
(*.f64 (sinh.f64 y) x)
x
(sinh y)
(sinh.f64 y)
y
(/ (* (sin x) y) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(* (sin x) y)
(*.f64 y (sin.f64 x))
(sin x)
(sin.f64 x)
x
y
(/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x)
(*.f64 (sinh.f64 y) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* (+ (* x (* (* x x) -1/6)) x) (sinh y))
(*.f64 (sinh.f64 y) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(+ (* x (* (* x x) -1/6)) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
x
(* (* x x) -1/6)
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* x x)
(*.f64 x x)
-1/6
#s(literal -1/6 binary64)
(sinh y)
(sinh.f64 y)
y

localize309.0ms (2.4%)

Memory
-14.0MiB live, 153.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
accuracy93.7%
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y))
accuracy82.2%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
accuracy100.0%
(sin.f64 x)
accuracy99.8%
(*.f64 (sin.f64 x) y)
accuracy86.1%
(/.f64 (*.f64 (sin.f64 x) y) x)
accuracy100.0%
(sinh.f64 y)
accuracy100.0%
(*.f64 x (sinh.f64 y))
accuracy86.2%
(/.f64 (*.f64 x (sinh.f64 y)) x)
accuracy100.0%
(sin.f64 x)
accuracy99.9%
(*.f64 y (/.f64 (sin.f64 x) x))
accuracy99.8%
(/.f64 (sin.f64 x) x)
accuracy100.0%
(/.f64 (sinh.f64 y) x)
accuracy100.0%
(sinh.f64 y)
accuracy100.0%
(sin.f64 x)
accuracy99.9%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
Samples
49.0ms256×0valid
Compiler

Compiled 106 to 21 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 11.0ms (31.2% of total)
ival-sin: 9.0ms (25.5% of total)
ival-div: 8.0ms (22.7% of total)
const: 4.0ms (11.3% of total)
ival-sinh: 2.0ms (5.7% of total)
ival-add: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory
-6.1MiB live, 33.0MiB allocated
Counts
14 → 276
Calls
Call 1
Inputs
#<alt (* (/ (sinh y) x) (sin x))>
#<alt (/ (sinh y) x)>
#<alt (sinh y)>
#<alt (sin x)>
#<alt (* y (/ (sin x) x))>
#<alt (/ (sin x) x)>
#<alt (/ (* x (sinh y)) x)>
#<alt (* x (sinh y))>
#<alt (/ (* (sin x) y) x)>
#<alt (* (sin x) y)>
#<alt (/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x)>
#<alt (* (+ (* x (* (* x x) -1/6)) x) (sinh y))>
#<alt (+ (* x (* (* x x) -1/6)) x)>
#<alt (* (* x x) -1/6)>
Outputs
#<alt (/ (* y (sin x)) x)>
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))>
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))>
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (/ y x)>
#<alt (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt y>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))>
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (/ (sin x) x)>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* x y)>
#<alt (* y (+ x (* 1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt y>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))>
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (* x y)>
#<alt (* x (+ y (* -1/6 (* (pow x 2) y))))>
#<alt (* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))))>
#<alt (* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* y (sin x))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))>
#<alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))>
#<alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))>
#<alt (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))>
#<alt (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))>
#<alt (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))>
#<alt (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)) (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)) (* 1/120 (/ (+ x (* -1/6 (pow x 3))) x)))))))))>
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))>
#<alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))>
#<alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))>
#<alt (* -1/12 (* (pow x 3) (- (exp y) (/ 1 (exp y)))))>
#<alt (* (pow x 3) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))>
#<alt (* (pow x 3) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))>
#<alt (* (pow x 3) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))>
#<alt (* -1/12 (* (pow x 3) (- (exp y) (/ 1 (exp y)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) (* 1/12 (- (exp y) (/ 1 (exp y)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) (* 1/12 (- (exp y) (/ 1 (exp y)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) (* 1/12 (- (exp y) (/ 1 (exp y)))))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))>
#<alt (* y (+ x (+ (* -1/6 (pow x 3)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ x (* -1/6 (pow x 3))))) (* 1/6 (+ x (* -1/6 (pow x 3)))))))))>
#<alt (* y (+ x (+ (* -1/6 (pow x 3)) (* (pow y 2) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ x (* -1/6 (pow x 3))))) (* 1/120 (+ x (* -1/6 (pow x 3)))))))))))>
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
Calls

69 calls:

TimeVariablePointExpression
29.0ms
y
@-inf
(* x (sinh y))
1.0ms
y
@inf
(/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x)
1.0ms
x
@inf
(/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x)
1.0ms
y
@0
(/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x)
1.0ms
x
@-inf
(* y (/ (sin x) x))

rewrite596.0ms (4.7%)

Memory
3.4MiB live, 680.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 996×*-lowering-*.f32
4 996×*-lowering-*.f64
4 844×accelerator-lowering-fma.f32
4 844×accelerator-lowering-fma.f64
2 918×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01981
18575
252473
3583873
0826570
Stop Event
iter limit
node limit
Counts
14 → 1 015
Calls
Call 1
Inputs
(* (/ (sinh y) x) (sin x))
(/ (sinh y) x)
(sinh y)
(sin x)
(* y (/ (sin x) x))
(/ (sin x) x)
(/ (* x (sinh y)) x)
(* x (sinh y))
(/ (* (sin x) y) x)
(* (sin x) y)
(/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x)
(* (+ (* x (* (* x x) -1/6)) x) (sinh y))
(+ (* x (* (* x x) -1/6)) x)
(* (* x x) -1/6)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (sinh.f64 y))) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) #s(literal -1 binary64))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 x)))
(neg.f64 (*.f64 (sinh.f64 y) (neg.f64 (/.f64 (sin.f64 x) x))))
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (sinh.f64 y) x))))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) x))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x)))) x)
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (sin.f64 x) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x)) (sin.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) #s(literal -1 binary64))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(*.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) x))
(*.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sinh.f64 y))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (sinh.f64 y))) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) #s(literal -1 binary64)) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sinh.f64 y) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (/.f64 (sinh.f64 y) x)))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) x))
(-.f64 (/.f64 (exp.f64 y) (*.f64 x #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 x #s(literal 2 binary64))))
(neg.f64 (neg.f64 (/.f64 (sinh.f64 y) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sinh.f64 y) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sinh.f64 y))))
(/.f64 (sinh.f64 y) x)
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sinh.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 y))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x))) #s(literal -2 binary64))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sinh.f64 y) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (sinh.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sinh.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x (sinh.f64 y)))) #s(literal -1 binary64))
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sinh.f64 y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) (*.f64 x #s(literal 2 binary64))))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 y))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (sinh.f64 y) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sinh.f64 y) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 x (sinh.f64 y))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 x (sinh.f64 y))) #s(literal -1 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y)))
(-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
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(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) x)

simplify571.0ms (4.5%)

Memory
28.8MiB live, 1 052.9MiB allocated
Algorithm
egg-herbie
Rules
18 586×accelerator-lowering-fma.f32
18 586×accelerator-lowering-fma.f64
5 922×*-lowering-*.f32
5 922×*-lowering-*.f64
4 738×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02263034
17872862
227452752
367072752
085152623
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x y)
(* y (+ x (* 1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(* x y)
(* x (+ y (* -1/6 (* (pow x 2) y))))
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))))
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* y (sin x))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))
(* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))
(* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))
(* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))
(* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))
(* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))
(* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))
(* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)) (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)) (* 1/120 (/ (+ x (* -1/6 (pow x 3))) x)))))))))
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* -1/12 (* (pow x 3) (- (exp y) (/ 1 (exp y)))))
(* (pow x 3) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))
(* (pow x 3) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))
(* (pow x 3) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))
(* -1/12 (* (pow x 3) (- (exp y) (/ 1 (exp y)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) (* 1/12 (- (exp y) (/ 1 (exp y)))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) (* 1/12 (- (exp y) (/ 1 (exp y)))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) (* 1/12 (- (exp y) (/ 1 (exp y)))))))
(* y (+ x (* -1/6 (pow x 3))))
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))
(* y (+ x (+ (* -1/6 (pow x 3)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ x (* -1/6 (pow x 3))))) (* 1/6 (+ x (* -1/6 (pow x 3)))))))))
(* y (+ x (+ (* -1/6 (pow x 3)) (* (pow y 2) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ x (* -1/6 (pow x 3))))) (* 1/120 (+ x (* -1/6 (pow x 3)))))))))))
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
Outputs
(/ (* y (sin x)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (sin.f64 x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(fma.f64 x (*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
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x
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(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
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(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
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(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
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eval182.0ms (1.4%)

Memory
-1.5MiB live, 467.5MiB allocated
Compiler

Compiled 28 897 to 2 737 computations (90.5% saved)

prune277.0ms (2.2%)

Memory
-17.8MiB live, 440.4MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1 488191 507
Fresh101
Picked415
Done000
Total1 493201 513
Accuracy
100.0%
Counts
1 513 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
60.6%
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
40.9%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y)
64.0%
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y)
39.6%
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
37.8%
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
56.9%
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
50.2%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x)
46.9%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
26.1%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x)
39.0%
(/.f64 (*.f64 (sin.f64 x) y) x)
48.7%
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)
21.9%
(/.f64 (*.f64 y x) x)
63.3%
(/.f64 (sin.f64 x) (/.f64 x y))
64.4%
(*.f64 (/.f64 y x) (sin.f64 x))
40.9%
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
39.6%
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
39.5%
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x))
65.0%
(sinh.f64 y)
30.6%
y
Compiler

Compiled 610 to 339 computations (44.4% saved)

simplify389.0ms (3.1%)

Memory
18.7MiB live, 533.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
cost-diff1024
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y)
cost-diff1024
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
cost-diff0
(sinh.f64 y)
Rules
17 558×accelerator-lowering-fma.f32
17 558×accelerator-lowering-fma.f64
3 808×*-lowering-*.f32
3 808×*-lowering-*.f64
3 150×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019142
154132
2145126
3477126
41509124
52579124
65140124
77298124
08023114
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(sinh y)
y
y
(+ (* y (* (* x x) -1/6)) y)
y
(* (* x x) -1/6)
(* x x)
x
-1/6
(/ (* (+ (* x (* (* x x) -1/6)) x) y) x)
(* (+ (* x (* (* x x) -1/6)) x) y)
(+ (* x (* (* x x) -1/6)) x)
x
(* (* x x) -1/6)
(* x x)
-1/6
y
(/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x)
(* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y))
(+ (* x (* (* x x) -1/6)) x)
x
(* (* x x) -1/6)
(* x x)
-1/6
(+ (* y (* 1/6 (* y y))) y)
y
(* 1/6 (* y y))
1/6
(* y y)
Outputs
(sinh y)
(sinh.f64 y)
y
y
(+ (* y (* (* x x) -1/6)) y)
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
y
(* (* x x) -1/6)
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* x x)
(*.f64 x x)
x
-1/6
#s(literal -1/6 binary64)
(/ (* (+ (* x (* (* x x) -1/6)) x) y) x)
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
(* (+ (* x (* (* x x) -1/6)) x) y)
(*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(+ (* x (* (* x x) -1/6)) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
x
(* (* x x) -1/6)
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* x x)
(*.f64 x x)
-1/6
#s(literal -1/6 binary64)
y
(/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x)
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y))
(*.f64 y (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(+ (* x (* (* x x) -1/6)) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
x
(* (* x x) -1/6)
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* x x)
(*.f64 x x)
-1/6
#s(literal -1/6 binary64)
(+ (* y (* 1/6 (* y y))) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
y
(* 1/6 (* y y))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* y y)
(*.f64 y y)

localize112.0ms (0.9%)

Memory
-12.3MiB live, 141.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
accuracy89.3%
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
accuracy82.1%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
accuracy100.0%
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
accuracy93.7%
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y)
accuracy81.4%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x)
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
accuracy95.9%
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
accuracy100.0%
(sinh.f64 y)
Samples
80.0ms256×0valid
Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 50.0ms (75.7% of total)
const: 6.0ms (9.1% of total)
ival-div: 5.0ms (7.6% of total)
ival-add: 3.0ms (4.5% of total)
ival-sinh: 2.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-2.7MiB live, 33.8MiB allocated
Counts
10 → 180
Calls
Call 1
Inputs
#<alt (sinh y)>
#<alt (+ (* y (* (* x x) -1/6)) y)>
#<alt (* (* x x) -1/6)>
#<alt (* x x)>
#<alt (/ (* (+ (* x (* (* x x) -1/6)) x) y) x)>
#<alt (* (+ (* x (* (* x x) -1/6)) x) y)>
#<alt (+ (* x (* (* x x) -1/6)) x)>
#<alt (/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x)>
#<alt (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y))>
#<alt (* 1/6 (* y y))>
Outputs
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))>
#<alt y>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt y>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (* x y)>
#<alt (* x (+ y (* -1/6 (* (pow x 2) y))))>
#<alt (* x (+ y (* -1/6 (* (pow x 2) y))))>
#<alt (* x (+ y (* -1/6 (* (pow x 2) y))))>
#<alt (* -1/6 (* (pow x 3) y))>
#<alt (* (pow x 3) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 3) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 3) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* -1/6 (* (pow x 3) y))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 2))) (* 1/6 y))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 2))) (* 1/6 y))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 2))) (* 1/6 y))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (+ y (* 1/6 (pow y 3)))>
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))>
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))>
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))>
#<alt (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))>
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))>
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))>
#<alt (* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))>
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))>
#<alt (* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))>
#<alt (* x (+ y (* 1/6 (pow y 3))))>
#<alt (* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))))>
#<alt (* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))))>
#<alt (* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))))>
#<alt (* -1/6 (* (pow x 3) (+ y (* 1/6 (pow y 3)))))>
#<alt (* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* -1/6 (* (pow x 3) (+ y (* 1/6 (pow y 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3)))))))>
#<alt (* y (+ x (* -1/6 (pow x 3))))>
#<alt (* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))>
#<alt (* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))>
#<alt (* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))>
#<alt (* 1/6 (* (pow y 3) (+ x (* -1/6 (pow x 3)))))>
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2)))))>
#<alt (* 1/6 (* (pow y 3) (+ x (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3)))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3)))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3)))))))>
#<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))>
Calls

45 calls:

TimeVariablePointExpression
9.0ms
y
@inf
(* 1/6 (* y y))
1.0ms
x
@0
(/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x)
1.0ms
y
@inf
(/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x)
1.0ms
x
@-inf
(/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x)
1.0ms
y
@inf
(+ (* y (* (* x x) -1/6)) y)

rewrite624.0ms (4.9%)

Memory
28.2MiB live, 898.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 474×accelerator-lowering-fma.f32
11 474×accelerator-lowering-fma.f64
7 680×*-lowering-*.f32
7 680×*-lowering-*.f64
3 730×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01997
110283
277783
0876175
Stop Event
iter limit
node limit
Counts
10 → 1 026
Calls
Call 1
Inputs
(sinh y)
(+ (* y (* (* x x) -1/6)) y)
(* (* x x) -1/6)
(* x x)
(/ (* (+ (* x (* (* x x) -1/6)) x) y) x)
(* (+ (* x (* (* x x) -1/6)) x) y)
(+ (* x (* (* x x) -1/6)) x)
(/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x)
(* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y))
(* 1/6 (* y y))
Outputs
(+.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -2 binary64)))
(sinh.f64 y)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1/2 binary64))
(+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y)
(+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x))))))
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y)
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)) y)
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y y)
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(fma.f64 (*.f64 y (*.f64 x x)) #s(literal -1/6 binary64) y)
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x y) y)
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x x) y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) x y)
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
(fma.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x y)
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x)))))))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (neg.f64 (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x))))))))
(neg.f64 (/.f64 (neg.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x)))))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 y y (*.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x)))) (*.f64 y (-.f64 y (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))))))
(/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y))) (neg.f64 (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))))) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y))) (*.f64 (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 9 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1/46656 binary64) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))))) (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x))))))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x))))))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 x x))))) #s(literal 1/1296 binary64) (*.f64 (*.f64 y y) (fma.f64 y y (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) y)) (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y))) #s(literal 1 binary64)) (*.f64 (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) y)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x)))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)))) (neg.f64 (neg.f64 (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))))) (neg.f64 (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) #s(literal -1 binary64))
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(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)

simplify649.0ms (5.1%)

Memory
7.3MiB live, 1 044.8MiB allocated
Algorithm
egg-herbie
Rules
23 804×accelerator-lowering-fma.f32
23 804×accelerator-lowering-fma.f64
4 334×*-lowering-*.f32
4 334×*-lowering-*.f64
4 250×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332170
14722100
217281998
347321796
083741649
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* y (+ 1 (* -1/6 (pow x 2))))
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(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
y
(+ y (* -1/6 (* (pow x 2) y)))
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(* -1/6 (* (pow x 2) y))
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(pow x 2)
(pow x 2)
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(pow x 2)
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y
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(/ (* y (+ x (* -1/6 (pow x 3)))) x)
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(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(* x y)
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x
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(* -1/6 (* (pow x 3) (+ y (* 1/6 (pow y 3)))))
(* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(* -1/6 (* (pow x 3) (+ y (* 1/6 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3)))))))
(* y (+ x (* -1/6 (pow x 3))))
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))
(* 1/6 (* (pow y 3) (+ x (* -1/6 (pow x 3)))))
(* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2)))))
(* 1/6 (* (pow y 3) (+ x (* -1/6 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3)))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3)))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3)))))))
(* 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))
Outputs
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(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) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* y (+ 1 (* -1/6 (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* y (+ 1 (* -1/6 (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* y (+ 1 (* -1/6 (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* y (+ 1 (* -1/6 (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* y (+ 1 (* -1/6 (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* y (+ 1 (* -1/6 (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* y (+ 1 (* -1/6 (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* y (+ 1 (* -1/6 (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
y
(+ y (* -1/6 (* (pow x 2) y)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(+ y (* -1/6 (* (pow x 2) y)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(+ y (* -1/6 (* (pow x 2) y)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* -1/6 (* (pow x 2) y))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* -1/6 (* (pow x 2) y))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(+ y (* -1/6 (* (pow x 2) y)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(+ y (* -1/6 (* (pow x 2) y)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* -1/6 (* (pow x 2) y))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* -1/6 (* (pow x 2) y))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(* x y)
(*.f64 y x)
(* x (+ y (* -1/6 (* (pow x 2) y))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* x (+ y (* -1/6 (* (pow x 2) y))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* x (+ y (* -1/6 (* (pow x 2) y))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* -1/6 (* (pow x 3) y))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x (*.f64 x x))))
(* (pow x 3) (+ (* -1/6 y) (/ y (pow x 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* (pow x 3) (+ (* -1/6 y) (/ y (pow x 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* (pow x 3) (+ (* -1/6 y) (/ y (pow x 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* -1/6 (* (pow x 3) y))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 2))) (* 1/6 y))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 2))) (* 1/6 y))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 2))) (* 1/6 y))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(* -1/6 (pow x 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(* -1/6 (pow x 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(+ y (* 1/6 (pow y 3)))
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y))
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y))
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y))
(* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
(* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(* x (+ y (* 1/6 (pow y 3))))
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y))
(* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))))
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
(* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))))
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
(* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))))
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
(* -1/6 (* (pow x 3) (+ y (* 1/6 (pow y 3)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
(* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) y) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) y) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) y) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(* -1/6 (* (pow x 3) (+ y (* 1/6 (pow y 3)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3)))))))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) y) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3)))))))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) y) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3)))))))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) y) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(* y (+ x (* -1/6 (pow x 3))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
(* 1/6 (* (pow y 3) (+ x (* -1/6 (pow x 3)))))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))))
(* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y))))
(* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y))))
(* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y))))
(* 1/6 (* (pow y 3) (+ x (* -1/6 (pow x 3)))))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3)))))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3)))))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3)))))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y))))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))

eval177.0ms (1.4%)

Memory
-3.3MiB live, 477.5MiB allocated
Compiler

Compiled 50 525 to 2 954 computations (94.2% saved)

prune221.0ms (1.7%)

Memory
-0.2MiB live, 433.0MiB allocated
Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New1 326121 338
Fresh41014
Picked145
Done011
Total1 331271 358
Accuracy
100.0%
Counts
1 358 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
60.6%
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
39.6%
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
39.6%
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
39.6%
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
41.7%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
39.6%
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
56.9%
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
37.8%
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
56.9%
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
50.2%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x)
26.1%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x)
35.7%
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x)
39.0%
(/.f64 (*.f64 (sin.f64 x) y) x)
48.7%
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)
21.9%
(/.f64 (*.f64 y x) x)
63.3%
(/.f64 (sin.f64 x) (/.f64 x y))
63.0%
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
64.4%
(*.f64 (/.f64 y x) (sin.f64 x))
55.3%
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
27.5%
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
40.0%
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
14.8%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
40.9%
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
12.8%
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
65.0%
(sinh.f64 y)
30.6%
y
Compiler

Compiled 733 to 432 computations (41.1% saved)

simplify472.0ms (3.7%)

Memory
1.4MiB live, 635.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff1024
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 y (*.f64 y y))
cost-diff0
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
cost-diff320
(*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))
cost-diff0
(*.f64 x #s(literal -1/6 binary64))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 y (*.f64 x x))
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 (/.f64 y x) (sin.f64 x))
Rules
22 156×accelerator-lowering-fma.f32
22 156×accelerator-lowering-fma.f64
4 358×*-lowering-*.f32
4 358×*-lowering-*.f64
2 458×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029162
179148
2204148
3486148
41543146
52769146
67333146
08041137
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ y x) (sin x))
(/ y x)
y
x
(sin x)
(* -1/6 (* y (* x x)))
-1/6
(* y (* x x))
y
(* x x)
x
(+ (* (* y x) (* x -1/6)) y)
(* y x)
y
x
(* x -1/6)
-1/6
(* (* y (* y y)) (* -1/6 (+ (* 1/6 (* x x)) -1)))
(* y (* y y))
y
(* y y)
(* -1/6 (+ (* 1/6 (* x x)) -1))
-1/6
(+ (* 1/6 (* x x)) -1)
1/6
(* x x)
x
-1
(* (+ (* x (* (* x x) -1/6)) x) (/ (+ (* y (* 1/6 (* y y))) y) x))
(+ (* x (* (* x x) -1/6)) x)
x
(* (* x x) -1/6)
(* x x)
-1/6
(/ (+ (* y (* 1/6 (* y y))) y) x)
(+ (* y (* 1/6 (* y y))) y)
y
(* 1/6 (* y y))
1/6
(* y y)
Outputs
(* (/ y x) (sin x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/ y x)
(/.f64 y x)
y
x
(sin x)
(sin.f64 x)
(* -1/6 (* y (* x x)))
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
-1/6
#s(literal -1/6 binary64)
(* y (* x x))
(*.f64 y (*.f64 x x))
y
(* x x)
(*.f64 x x)
x
(+ (* (* y x) (* x -1/6)) y)
(fma.f64 x (*.f64 y (*.f64 x #s(literal -1/6 binary64))) y)
(* y x)
(*.f64 y x)
y
x
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (* y (* y y)) (* -1/6 (+ (* 1/6 (* x x)) -1)))
(*.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))
(* y (* y y))
(*.f64 y (*.f64 y y))
y
(* y y)
(*.f64 y y)
(* -1/6 (+ (* 1/6 (* x x)) -1))
(fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(+ (* 1/6 (* x x)) -1)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
-1
#s(literal -1 binary64)
(* (+ (* x (* (* x x) -1/6)) x) (/ (+ (* y (* 1/6 (* y y))) y) x))
(*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(+ (* x (* (* x x) -1/6)) x)
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
x
(* (* x x) -1/6)
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* x x)
(*.f64 x x)
-1/6
#s(literal -1/6 binary64)
(/ (+ (* y (* 1/6 (* y y))) y) x)
(/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) x)
(+ (* y (* 1/6 (* y y))) y)
(fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)
y
(* 1/6 (* y y))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* y y)
(*.f64 y y)

localize225.0ms (1.8%)

Memory
-37.0MiB live, 151.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
accuracy95.6%
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
accuracy82.5%
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
accuracy99.9%
(*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))
accuracy99.9%
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))
accuracy99.9%
(*.f64 y (*.f64 y y))
accuracy88.6%
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
accuracy100.0%
(*.f64 y x)
accuracy99.9%
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
accuracy89.6%
(*.f64 y (*.f64 x x))
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(sin.f64 x)
accuracy88.1%
(*.f64 (/.f64 y x) (sin.f64 x))
Samples
124.0ms256×0valid
Compiler

Compiled 159 to 31 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-mult: 69.0ms (65% of total)
ival-sin: 22.0ms (20.7% of total)
const: 6.0ms (5.6% of total)
ival-div: 4.0ms (3.8% of total)
ival-add: 4.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
19 → 336
Calls
Call 1
Inputs
#<alt (* (/ y x) (sin x))>
#<alt (/ y x)>
#<alt (sin x)>
#<alt (* -1/6 (* y (* x x)))>
#<alt (* y (* x x))>
#<alt (* x x)>
#<alt (+ (* (* y x) (* x -1/6)) y)>
#<alt (* y x)>
#<alt (* x -1/6)>
#<alt (* -1/6 (+ (* 1/6 (* x x)) -1))>
#<alt (* (* y (* y y)) (* -1/6 (+ (* 1/6 (* x x)) -1)))>
#<alt (* y (* y y))>
#<alt (* y y)>
#<alt (* (+ (* x (* (* x x) -1/6)) x) (/ (+ (* y (* 1/6 (* y y))) y) x))>
#<alt (+ (* x (* (* x x) -1/6)) x)>
#<alt (* (* x x) -1/6)>
#<alt (+ (* 1/6 (* x x)) -1)>
#<alt (/ (+ (* y (* 1/6 (* y y))) y) x)>
#<alt (* 1/6 (* y y))>
Outputs
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt y>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))>
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ (* y (sin x)) x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* y (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))>
#<alt y>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (+ y (* -1/6 (* (pow x 2) y)))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<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 1/6>
#<alt (+ 1/6 (* -1/36 (pow x 2)))>
#<alt (+ 1/6 (* -1/36 (pow x 2)))>
#<alt (+ 1/6 (* -1/36 (pow x 2)))>
#<alt (* -1/36 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))>
#<alt (* -1/36 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))>
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))>
#<alt (* 1/6 (pow y 3))>
#<alt (+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3)))>
#<alt (+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3)))>
#<alt (+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3)))>
#<alt (* -1/36 (* (pow x 2) (pow y 3)))>
#<alt (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))>
#<alt (* -1/36 (* (pow x 2) (pow y 3)))>
#<alt (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 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)>
#<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 (+ y (* 1/6 (pow y 3)))>
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))>
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))>
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))>
#<alt (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))>
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))>
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))>
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))>
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))>
#<alt (* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))>
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))>
#<alt (* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt -1>
#<alt (- (* 1/6 (pow x 2)) 1)>
#<alt (- (* 1/6 (pow x 2)) 1)>
#<alt (- (* 1/6 (pow x 2)) 1)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (/ y x)>
#<alt (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* 1/6 (/ (pow y 3) x))>
#<alt (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* 1/6 (/ (pow y 3) x))>
#<alt (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))>
#<alt (/ (+ y (* 1/6 (pow y 3))) x)>
#<alt (/ (+ y (* 1/6 (pow y 3))) x)>
#<alt (/ (+ y (* 1/6 (pow y 3))) x)>
#<alt (/ (+ y (* 1/6 (pow y 3))) x)>
#<alt (/ (+ y (* 1/6 (pow y 3))) x)>
#<alt (/ (+ y (* 1/6 (pow y 3))) x)>
#<alt (/ (+ y (* 1/6 (pow y 3))) x)>
#<alt (/ (+ y (* 1/6 (pow y 3))) x)>
#<alt (/ (+ y (* 1/6 (pow y 3))) x)>
#<alt (/ (+ y (* 1/6 (pow y 3))) x)>
#<alt (/ (+ y (* 1/6 (pow y 3))) x)>
#<alt (/ (+ y (* 1/6 (pow y 3))) x)>
#<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))>
Calls

84 calls:

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

rewrite896.0ms (7.1%)

Memory
1.7MiB live, 634.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 770×accelerator-lowering-fma.f32
6 770×accelerator-lowering-fma.f64
5 482×*-lowering-*.f32
5 482×*-lowering-*.f64
3 910×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029127
1138115
21009115
08430107
Stop Event
iter limit
node limit
Counts
19 → 749
Calls
Call 1
Inputs
(* (/ y x) (sin x))
(/ y x)
(sin x)
(* -1/6 (* y (* x x)))
(* y (* x x))
(* x x)
(+ (* (* y x) (* x -1/6)) y)
(* y x)
(* x -1/6)
(* -1/6 (+ (* 1/6 (* x x)) -1))
(* (* y (* y y)) (* -1/6 (+ (* 1/6 (* x x)) -1)))
(* y (* y y))
(* y y)
(* (+ (* x (* (* x x) -1/6)) x) (/ (+ (* y (* 1/6 (* y y))) y) x))
(+ (* x (* (* x x) -1/6)) x)
(* (* x x) -1/6)
(+ (* 1/6 (* x x)) -1)
(/ (+ (* y (* 1/6 (* y y))) y) x)
(* 1/6 (* y y))
Outputs
(neg.f64 (*.f64 (/.f64 y (neg.f64 x)) (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 y (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 y (sin.f64 x)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 y (sin.f64 x))) x))
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 (neg.f64 (*.f64 y (sin.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (sin.f64 x)))) x)
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) #s(literal -1 binary64))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sin.f64 x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (*.f64 y (sin.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 y x)
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(sin.f64 x)
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)))
(*.f64 x (*.f64 y (*.f64 x #s(literal -1/6 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)))
(*.f64 (*.f64 y (*.f64 x x)) #s(literal -1/6 binary64))
(*.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y x))
(*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y)
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) x)
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) x)
(*.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x)
(*.f64 y (*.f64 x x))
(*.f64 x (*.f64 y x))
(*.f64 (*.f64 x x) y)
(*.f64 (*.f64 y x) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) y)
(+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y)
(fma.f64 x (*.f64 y (*.f64 x #s(literal -1/6 binary64))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)) y)
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y (*.f64 x x)) #s(literal -1/6 binary64) y)
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y x) y)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y y)
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) x y)
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) x y)
(fma.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))))
(neg.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 y (+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (fma.f64 y (+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 y y (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 x x)))))))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 y (+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 y y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 y (+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y))
(/.f64 (fma.f64 y y (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 x x))))) (+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y))) (*.f64 (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) #s(literal 9 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (fma.f64 y (+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 y (*.f64 y y))) (fma.f64 y (+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1296 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (*.f64 y y) (fma.f64 y y (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1296 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (*.f64 y y)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y))) (neg.f64 (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)))
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(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (+.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (+.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(*.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(*.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) x) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (+.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))))
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) x) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (+.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))))
(*.f64 (pow.f64 (/.f64 x (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (+.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (+.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))))))
(*.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(literal -1/2 binary64)))
(*.f64 y (*.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 #s(literal 1/6 binary64)) y)

simplify413.0ms (3.3%)

Memory
3.3MiB live, 749.9MiB allocated
Algorithm
egg-herbie
Rules
13 192×accelerator-lowering-fma.f32
13 192×accelerator-lowering-fma.f64
4 432×*-lowering-*.f32
4 432×*-lowering-*.f64
2 032×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332424
14022318
212792210
329682166
459852166
083112022
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ (* y (sin x)) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* -1/6 (* (pow x 2) y))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* y (+ 1 (* -1/6 (pow x 2))))
(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
(* -1 (* y (- (* 1/6 (pow x 2)) 1)))
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* -1/6 (* (pow x 2) y)))
(* -1/6 (* (pow x 2) y))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(* -1/6 (* (pow x 2) y))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -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)
1/6
(+ 1/6 (* -1/36 (pow x 2)))
(+ 1/6 (* -1/36 (pow x 2)))
(+ 1/6 (* -1/36 (pow x 2)))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))
(* 1/6 (pow y 3))
(+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3)))
(+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3)))
(+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3)))
(* -1/36 (* (pow x 2) (pow y 3)))
(* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))
(* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))
(* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))
(* -1/36 (* (pow x 2) (pow y 3)))
(* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))
(* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))
(* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 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)
(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)
(+ y (* 1/6 (pow y 3)))
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))
(* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))
(* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))
(* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
-1
(- (* 1/6 (pow x 2)) 1)
(- (* 1/6 (pow x 2)) 1)
(- (* 1/6 (pow x 2)) 1)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(/ y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* 1/6 (/ (pow y 3) x))
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(* 1/6 (/ (pow y 3) x))
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(/ (+ 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)
(* 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))
Outputs
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ (* y (sin x)) x)
(/.f64 (*.f64 y (sin.f64 x)) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
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(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(/ (* y (+ x (* -1/6 (pow x 3)))) x)
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y)
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* 1/6 (pow x 2)) 1)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(- (* 1/6 (pow x 2)) 1)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(- (* 1/6 (pow x 2)) 1)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(/ y x)
(/.f64 y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(* 1/6 (/ (pow y 3) x))
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(* 1/6 (/ (pow y 3) x))
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(/ (+ y (* 1/6 (pow y 3))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(/ (+ y (* 1/6 (pow y 3))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(/ (+ y (* 1/6 (pow y 3))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(/ (+ y (* 1/6 (pow y 3))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(/ (+ y (* 1/6 (pow y 3))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(/ (+ y (* 1/6 (pow y 3))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(/ (+ y (* 1/6 (pow y 3))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(/ (+ y (* 1/6 (pow y 3))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(/ (+ y (* 1/6 (pow y 3))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(/ (+ y (* 1/6 (pow y 3))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(/ (+ y (* 1/6 (pow y 3))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(/ (+ y (* 1/6 (pow y 3))) x)
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))

eval376.0ms (3%)

Memory
-77.1MiB live, 391.4MiB allocated
Compiler

Compiled 33 919 to 2 162 computations (93.6% saved)

prune138.0ms (1.1%)

Memory
-13.9MiB live, 388.0MiB allocated
Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New1 127121 139
Fresh71017
Picked325
Done055
Total1 137291 166
Accuracy
100.0%
Counts
1 166 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
60.6%
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
41.7%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
40.9%
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
37.8%
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
39.6%
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
56.9%
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
50.2%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x)
26.1%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x)
39.0%
(/.f64 (*.f64 (sin.f64 x) y) x)
48.7%
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)
21.9%
(/.f64 (*.f64 y x) x)
63.3%
(/.f64 (sin.f64 x) (/.f64 x y))
27.4%
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))
64.4%
(*.f64 (/.f64 y x) (sin.f64 x))
53.6%
(*.f64 (/.f64 y x) x)
40.0%
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y))
55.3%
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
27.5%
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
19.6%
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
42.9%
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
12.8%
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
42.9%
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
70.4%
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
12.8%
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
12.8%
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
65.0%
(sinh.f64 y)
27.6%
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)))
30.6%
y
Compiler

Compiled 1 046 to 395 computations (62.2% saved)

regimes90.0ms (0.7%)

Memory
-1.0MiB live, 115.5MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y x) x)
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y))
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x))
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x)
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y)
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x)
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x)
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y)
(sinh.f64 y)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 (*.f64 x (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.f64 x) y) x)
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
Calls

4 calls:

37.0ms
y
23.0ms
(sinh.f64 y)
16.0ms
x
12.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
99.9%1(sinh.f64 y)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes59.0ms (0.5%)

Memory
0.1MiB live, 118.1MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y x) x)
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y))
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x))
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x)
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y)
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x)
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x)
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y)
(sinh.f64 y)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 (*.f64 x (sinh.f64 y)) x)
(/.f64 (*.f64 (sin.f64 x) y) x)
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x)
Outputs
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x)
(*.f64 y (/.f64 (sin.f64 x) x))
(sinh.f64 y)
Calls

4 calls:

17.0ms
x
15.0ms
y
14.0ms
(sinh.f64 y)
11.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
80.2%3x
89.4%2y
100.0%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
89.4%2(sinh.f64 y)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes38.0ms (0.3%)

Memory
7.4MiB live, 83.2MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y x) x)
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y))
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x))
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x)
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y)
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x)
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x)
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y)
(sinh.f64 y)
Outputs
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x)
(*.f64 (/.f64 y x) x)
(sinh.f64 y)
Calls

3 calls:

13.0ms
(sinh.f64 y)
13.0ms
y
10.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
78.7%3y
76.4%2(sinh.f64 y)
89.3%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes13.0ms (0.1%)

Memory
-8.5MiB live, 30.2MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y x) x)
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y))
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x))
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x)
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y)
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x)
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x)
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y)
Outputs
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x)
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)
Calls

1 calls:

11.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
86.7%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
27.3MiB live, 27.3MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y x) x)
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y))
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x))
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x)
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y)
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x)
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y)))
Outputs
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)
Calls

1 calls:

10.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
86.7%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes63.0ms (0.5%)

Memory
-62.5MiB live, 15.6MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y x) x)
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y))
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x))
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x)
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y)
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x)
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y)
Outputs
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (/.f64 y x) x)
(fma.f64 (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)) (*.f64 y (*.f64 y y)) y)
Calls

1 calls:

62.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
86.3%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y x) x)
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y))
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x))
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x)
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
Outputs
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))
Calls

1 calls:

7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
83.4%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y x) x)
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y))
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))))
Outputs
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (/.f64 y x) x)
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)
Calls

1 calls:

6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
84.9%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-23.5MiB live, 13.3MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y x) x)
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y))
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y)
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)
Outputs
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))
(*.f64 (/.f64 y x) x)
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
Calls

1 calls:

10.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
81.2%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory
3.7MiB live, 42.5MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y x) x)
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y)
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y)
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y)
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y)
Outputs
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)
Calls

3 calls:

6.0ms
y
5.0ms
x
4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
71.8%3y
68.5%2x
78.6%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(/.f64 (*.f64 y x) x)
Outputs
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) x)
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
Calls

1 calls:

3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
78.5%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-7.6MiB live, 31.6MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
Calls

4 calls:

4.0ms
(sinh.f64 y)
3.0ms
y
3.0ms
x
2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
52.8%2x
59.7%2y
56.8%2(sinh.f64 y)
66.4%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes3.0ms (0%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
y
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
Calls

1 calls:

2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
67.2%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-19.6MiB live, 22.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
y
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)))
y
Calls

4 calls:

3.0ms
(sinh.f64 y)
2.0ms
x
2.0ms
y
2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
39.6%2x
39.1%2(sinh.f64 y)
39.1%2y
40.9%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory
11.0MiB live, 11.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
y
Outputs
y
Calls

4 calls:

1.0ms
x
1.0ms
y
1.0ms
(sinh.f64 y)
1.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
30.6%1(sinh.f64 y)
30.6%1y
30.6%1x
30.6%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.441006582961624e-112
2.2387104799514583e-92
0.0ms
-inf
-1.0203839223470586e-24
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.635e-320
1.1037339819815524e-279
0.0ms
-7.523452720108434e-168
-2.2588578009190193e-230
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1802083382910104e-19
2.3357379604358276e-11
0.0ms
-7.523452720108434e-168
-2.2588578009190193e-230
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1802083382910104e-19
2.3357379604358276e-11
0.0ms
-5.025517e-317
0.0
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.635e-320
1.1037339819815524e-279
0.0ms
-5.025517e-317
0.0
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.025517e-317
0.0
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.635e-320
1.1037339819815524e-279
0.0ms
-5.025517e-317
0.0
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.635e-320
1.1037339819815524e-279
0.0ms
-5.025517e-317
0.0
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.635e-320
1.1037339819815524e-279
0.0ms
-7.523452720108434e-168
-2.2588578009190193e-230
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0005265642864680361
+inf
0.0ms
-7.523452720108434e-168
-2.2588578009190193e-230
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0005265642864680361
+inf
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0005265642864680361
+inf
0.0ms
-7.523452720108434e-168
-2.2588578009190193e-230
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.523452720108434e-168
-2.2588578009190193e-230
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify15.0ms (0.1%)

Memory
-6.5MiB live, 30.6MiB allocated
Algorithm
egg-herbie
Rules
46×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087598
1113598
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (sinh.f64 y)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (sinh.f64 y)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (*.f64 (/.f64 y x) x) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (*.f64 (/.f64 y x) x) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (/.f64 y x) x) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) y (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) y)
y
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (sinh.f64 y)))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (sinh.f64 y)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (sinh.f64 y)))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 x (/.f64 y x)) (sinh.f64 y)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (*.f64 (/.f64 y x) x) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)) x) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (*.f64 x (/.f64 y x)) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (*.f64 (/.f64 y x) x) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (*.f64 x (/.f64 y x)) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) y (*.f64 x #s(literal 1/6 binary64)))) x)) x)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 x (/.f64 y x)) (fma.f64 (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)) (*.f64 y (*.f64 y y)) y)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (*.f64 x (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) x)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)))
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y

soundness1.9s (14.8%)

Memory
7.8MiB live, 1 438.2MiB allocated
Rules
23 804×accelerator-lowering-fma.f32
23 804×accelerator-lowering-fma.f64
18 586×accelerator-lowering-fma.f32
18 586×accelerator-lowering-fma.f64
15 192×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02263034
17872862
227452752
367072752
085152623
0616
12316
211316
383516
0822116
01332424
14022318
212792210
329682166
459852166
083112022
0113944
1373889
21229849
33047828
08158792
01981
18575
252473
3583873
0826570
01997
110283
277783
0876175
01332170
14722100
217281998
347321796
083741649
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 573 to 690 computations (56.1% saved)

preprocess200.0ms (1.6%)

Memory
17.6MiB live, 294.1MiB allocated
Remove

(abs x)

Compiler

Compiled 1 590 to 366 computations (77% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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