Linear.Quaternion:$ccosh from linear-1.19.1.3

Time bar (total: 9.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze31.0ms (0.3%)

Memory
-13.1MiB live, 37.0MiB allocated; 1ms collecting garbage
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 (15.4%)

Memory
9.5MiB live, 1 682.9MiB allocated; 511ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 790.0ms
ival-sin: 463.0ms (58.6% of total)
ival-mult: 133.0ms (16.8% of total)
ival-div: 93.0ms (11.8% of total)
ival-sinh: 89.0ms (11.3% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 4.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain105.0ms (1.1%)

Memory
-5.1MiB live, 83.5MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-5(7.628057332620323e-127 9.81629749238211e-197)(/.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/n310
(*.f64 (sin.f64 x) (sinh.f64 y))underflow31
Confusion
Predicted +Predicted -
+315
-0220
Precision
1.0
Recall
0.8611111111111112
Confusion?
Predicted +Predicted MaybePredicted -
+3105
-00220
Precision?
1.0
Recall?
0.8611111111111112
Freqs
test
numberfreq
0225
131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
36.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 11.0ms (48% of total)
ival-div: 4.0ms (17.5% of total)
ival-mult: 4.0ms (17.5% of total)
ival-sinh: 4.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess222.0ms (2.4%)

Memory
34.2MiB live, 327.1MiB allocated; 41ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01843
15041
214839
339039
4150739
067
0107
1197
2407
3867
43067
518197
655857
085237
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Outputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.6%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify208.0ms (2.3%)

Memory
-23.4MiB live, 207.6MiB allocated; 30ms collecting garbage
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)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11918
24018
38618
430618
5181918
6558518
0852318
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (sinh.f64 y))
(sin.f64 x)
x
(sinh.f64 y)
y
Outputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (sinh.f64 y) (sin.f64 x))
(sin.f64 x)
x
(sinh.f64 y)
y

localize24.0ms (0.3%)

Memory
30.9MiB live, 30.9MiB allocated; 0ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 x)
accuracy0.0078125
(sinh.f64 y)
accuracy0.056972509768442016
(*.f64 (sin.f64 x) (sinh.f64 y))
accuracy7.94778244435937
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Samples
19.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 6.0ms (51.1% of total)
ival-div: 2.0ms (17% of total)
ival-mult: 2.0ms (17% of total)
ival-sinh: 2.0ms (17% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
-12.1MiB live, 30.8MiB allocated; 9ms collecting garbage
Counts
4 → 27
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (sinh.f64 y))
(sin.f64 x)
(sinh.f64 y)
Outputs
(* 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 (* 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))))))))))
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))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(sin 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)))
(* 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))))))))
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))))))))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y))
3.0ms
y
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y))
2.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y))
2.0ms
y
@0
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y))
1.0ms
x
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) (sinh y))

simplify247.0ms (2.7%)

Memory
-16.6MiB live, 372.0MiB allocated; 52ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113506
1434438
21692406
35247404
08163370
Stop Event
iter limit
node limit
Counts
27 → 25
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 (* 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))))))))))
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))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(sin 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)))
(* 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))))))))
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))))))))
Outputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #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)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #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 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(* 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)))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 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))))))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(sin x)
(sin.f64 x)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) x)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)
(* 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 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) x) y)
(* y (sin x))
(*.f64 (sin.f64 x) y)
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(* 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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y)
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)

rewrite198.0ms (2.1%)

Memory
24.0MiB live, 255.3MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
12216
27516
343616
4569516
0818416
Stop Event
iter limit
node limit
iter limit
Counts
4 → 183
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (sinh.f64 y))
(sin.f64 x)
(sinh.f64 y)
Outputs
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) x) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (/.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 (neg.f64 y)))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) x))
(*.f64 (/.f64 (sinh.f64 (neg.f64 y)) x) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 (neg.f64 y)) x))
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(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (exp.f64 y)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 y))))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 y))))
(/.f64 (-.f64 (neg.f64 (exp.f64 y)) (/.f64 #s(literal -1 binary64) (exp.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 y)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 4 binary64))
(/.f64 (*.f64 (cosh.f64 y) (sinh.f64 y)) (cosh.f64 y))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) (pow.f64 (exp.f64 y) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (exp.f64 y) #s(literal -6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 y) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 y) #s(literal 4 binary64))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (exp.f64 y) #s(literal -6 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) y))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 9 binary64)) (pow.f64 (exp.f64 y) #s(literal -9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 y) #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(neg.f64 (sinh.f64 (neg.f64 y)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (cosh.f64 y) #s(literal 3 binary64))))) (cosh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (cosh.f64 y) (sinh.f64 y)))))) (*.f64 (cosh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (cosh.f64 y) #s(literal 3 binary64))))) (sinh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (cosh.f64 y) (sinh.f64 y)))))))
(-.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 y)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 y))))
(-.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (cosh.f64 y) #s(literal 2 binary64))) (/.f64 (sinh.f64 y) #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -2 binary64)) (cosh.f64 y)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (-.f64 (exp.f64 y) (cosh.f64 y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))))
(+.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (cosh.f64 y) #s(literal 2 binary64))) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 (-.f64 (exp.f64 y) (cosh.f64 y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))))
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 y) (exp.f64 (neg.f64 y))) #s(literal 2 binary64)))

eval88.0ms (1%)

Memory
-12.4MiB live, 86.3MiB allocated; 15ms collecting garbage
Compiler

Compiled 3 625 to 776 computations (78.6% saved)

prune30.0ms (0.3%)

Memory
-12.1MiB live, 34.8MiB allocated; 2ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2008208
Fresh000
Picked101
Done000
Total2018209
Accuracy
100.0%
Counts
209 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.6%
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))))
76.2%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
43.8%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
99.9%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
87.4%
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64)))
87.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
48.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
Compiler

Compiled 262 to 192 computations (26.7% saved)

simplify209.0ms (2.3%)

Memory
35.7MiB live, 226.7MiB allocated; 43ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
cost-diff2
(*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
cost-diff2
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))))
cost-diff0
(exp.f64 y)
cost-diff0
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
cost-diff0
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
cost-diff0
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) x)
cost-diff0
(*.f64 (/.f64 (sin.f64 x) x) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042263
071263
1151261
2482258
32299258
08313257
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
y
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(sin.f64 x)
x
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp.f64 y)
y
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(literal 1/2 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))
#s(literal 2 binary64)
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(sin.f64 x)
x
(*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(cosh.f64 (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
y
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)
(*.f64 (/.f64 y x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(sin.f64 x)
x
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp.f64 y)
y
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(literal 1/2 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal 2 binary64) x) x)) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))
(*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))
#s(literal 2 binary64)
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(sin.f64 x)
x
(*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) x)
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))
(cosh.f64 (*.f64 #s(literal 2 binary64) y))
(cosh.f64 (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 1 binary64)

localize307.0ms (3.3%)

Memory
-48.4MiB live, 640.2MiB allocated; 124ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
accuracy0.109375
(*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
accuracy0.1328125
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
accuracy8.904319579445188
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))))
accuracy0.0
(exp.f64 (neg.f64 y))
accuracy0.0
(exp.f64 y)
accuracy15.820005488149704
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy32.21608591533129
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
accuracy0.01953125
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy0.0390625
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
accuracy0.046875
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)
accuracy1.317005261666665
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
accuracy0.0
(sin.f64 x)
accuracy0.03515625
(*.f64 (/.f64 (sin.f64 x) x) y)
accuracy0.046875
(/.f64 (sin.f64 x) x)
accuracy1.5139975777971895
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
accuracy0.0
(sin.f64 x)
accuracy0.0078125
(sinh.f64 y)
accuracy0.01171875
(/.f64 (sinh.f64 y) x)
accuracy0.09375
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
Samples
83.0ms111×0exit
73.0ms45×2valid
43.0ms25×3valid
41.0ms68×1valid
2.0ms0valid
Compiler

Compiled 242 to 42 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-mult: 37.0ms (19.2% of total)
ival-sinh: 36.0ms (18.7% of total)
adjust: 25.0ms (13% of total)
ival-exp: 24.0ms (12.4% of total)
ival-sub: 15.0ms (7.8% of total)
ival-sin: 15.0ms (7.8% of total)
ival-div: 11.0ms (5.7% of total)
const: 11.0ms (5.7% of total)
ival-cosh: 10.0ms (5.2% of total)
ival-add: 6.0ms (3.1% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (0.7%)

Memory
1.8MiB live, 92.1MiB allocated; 19ms collecting garbage
Counts
22 → 113
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp.f64 y)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(exp.f64 (neg.f64 y))
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
Outputs
(* 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 (/ (- (exp y) (/ 1 (exp 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))))
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))))))
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)))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))))
(* 2 (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(* x (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* x (- (+ (exp (* 3 y)) (* -1/6 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))) (/ 1 (exp (* 3 y)))))
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* 1/120 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))))) (/ 1 (exp (* 3 y)))))
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))) (* 1/120 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))))))) (/ 1 (exp (* 3 y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(sin x)
(/ (* y (sin x)) x)
(/ (sin x) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* 1/2 (/ (* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* 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)))
(/ 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)))
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(* 2 y)
(* y (+ 2 (* 1/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* y (+ (* (pow y 2) (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* 6 x)
(+ (* 6 x) (* 8 (* x (pow y 2))))
(+ (* 6 x) (* (pow y 2) (+ (* 8/3 (* x (pow y 2))) (* 8 x))))
(+ (* 6 x) (* (pow y 2) (+ (* 8 x) (* (pow y 2) (+ (* 16/45 (* x (pow y 2))) (* 8/3 x))))))
(* 6 (* y (sin x)))
(* y (+ (* 6 (sin x)) (* 9 (* (pow y 2) (sin x)))))
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 81/20 (* (pow y 2) (sin x))) (* 9 (sin x))))))
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 9 (sin x)) (* (pow y 2) (+ (* 243/280 (* (pow y 2) (sin x))) (* 81/20 (sin x))))))))
(* 6 y)
(* y (+ 6 (* 9 (pow y 2))))
(* y (+ 6 (* (pow y 2) (+ 9 (* 81/20 (pow y 2))))))
(* y (+ 6 (* (pow y 2) (+ 9 (* (pow y 2) (+ 81/20 (* 243/280 (pow y 2))))))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* 3 y)
(* y (+ 3 (* 9/2 (pow y 2))))
(* y (+ 3 (* (pow y 2) (+ 9/2 (* 81/40 (pow y 2))))))
(* y (+ 3 (* (pow y 2) (+ 9/2 (* (pow y 2) (+ 81/40 (* 243/560 (pow y 2))))))))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (* (pow y 4) (sin x)))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(exp y)
(- (exp (* 3 y)) (/ 1 (exp (* 3 y))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(exp (neg y))
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(exp (* -1 y))
Calls

6 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (sinh (* 3 y)))
13.0ms
y
@inf
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (sinh (* 3 y)))
12.0ms
y
@-inf
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (sinh (* 3 y)))
11.0ms
x
@inf
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (sinh (* 3 y)))
7.0ms
x
@0
((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (sinh (* 3 y)))

simplify232.0ms (2.5%)

Memory
27.3MiB live, 210.4MiB allocated; 42ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04372413
116802095
269802023
080841841
Stop Event
iter limit
node limit
Counts
113 → 111
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 (/ (- (exp y) (/ 1 (exp 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))))
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))))))
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)))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))))
(* 2 (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(* x (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* x (- (+ (exp (* 3 y)) (* -1/6 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))) (/ 1 (exp (* 3 y)))))
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* 1/120 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))))) (/ 1 (exp (* 3 y)))))
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))) (* 1/120 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))))))) (/ 1 (exp (* 3 y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(sin x)
(/ (* y (sin x)) x)
(/ (sin x) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* 1/2 (/ (* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* 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)))
(/ 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)))
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(* 2 y)
(* y (+ 2 (* 1/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* y (+ (* (pow y 2) (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* 6 x)
(+ (* 6 x) (* 8 (* x (pow y 2))))
(+ (* 6 x) (* (pow y 2) (+ (* 8/3 (* x (pow y 2))) (* 8 x))))
(+ (* 6 x) (* (pow y 2) (+ (* 8 x) (* (pow y 2) (+ (* 16/45 (* x (pow y 2))) (* 8/3 x))))))
(* 6 (* y (sin x)))
(* y (+ (* 6 (sin x)) (* 9 (* (pow y 2) (sin x)))))
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 81/20 (* (pow y 2) (sin x))) (* 9 (sin x))))))
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 9 (sin x)) (* (pow y 2) (+ (* 243/280 (* (pow y 2) (sin x))) (* 81/20 (sin x))))))))
(* 6 y)
(* y (+ 6 (* 9 (pow y 2))))
(* y (+ 6 (* (pow y 2) (+ 9 (* 81/20 (pow y 2))))))
(* y (+ 6 (* (pow y 2) (+ 9 (* (pow y 2) (+ 81/20 (* 243/280 (pow y 2))))))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* 3 y)
(* y (+ 3 (* 9/2 (pow y 2))))
(* y (+ 3 (* (pow y 2) (+ 9/2 (* 81/40 (pow y 2))))))
(* y (+ 3 (* (pow y 2) (+ 9/2 (* (pow y 2) (+ 81/40 (* 243/560 (pow y 2))))))))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (* (pow y 4) (sin x)))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(exp y)
(- (exp (* 3 y)) (/ 1 (exp (* 3 y))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(exp (neg y))
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(exp (* -1 y))
Outputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(+ (* -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 (*.f64 x x) #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)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #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 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
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(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 6 binary64)) y)
(* y (+ 6 (* (pow y 2) (+ 9 (* 81/20 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 81/20 binary64) (*.f64 y y) #s(literal 9 binary64)) (*.f64 y y) #s(literal 6 binary64)) y)
(* y (+ 6 (* (pow y 2) (+ 9 (* (pow y 2) (+ 81/20 (* 243/280 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 243/280 binary64) (*.f64 y y) #s(literal 81/20 binary64)) (*.f64 y y) #s(literal 9 binary64)) (*.f64 y y) #s(literal 6 binary64)) y)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 9/2 (pow y 2))))
(*.f64 (fma.f64 #s(literal 9/2 binary64) (*.f64 y y) #s(literal 3 binary64)) y)
(* y (+ 3 (* (pow y 2) (+ 9/2 (* 81/40 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 81/40 binary64) (*.f64 y y) #s(literal 9/2 binary64)) (*.f64 y y) #s(literal 3 binary64)) y)
(* y (+ 3 (* (pow y 2) (+ 9/2 (* (pow y 2) (+ 81/40 (* 243/560 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 243/560 binary64) (*.f64 y y) #s(literal 81/40 binary64)) (*.f64 y y) #s(literal 9/2 binary64)) (*.f64 y y) #s(literal 3 binary64)) y)
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 (sin.f64 x) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 1/120 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 5 binary64)))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 1/120 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (* (pow y 4) (sin x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (sin.f64 x))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64)))
(* 1/2 (- (exp y) (exp (neg y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(- (exp y) (exp (neg y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp y)
(exp.f64 y)
(- (exp (* 3 y)) (/ 1 (exp (* 3 y))))
(-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) y) y)
(exp (neg y))
(exp.f64 (neg.f64 y))
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) #s(literal 1/2 binary64))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (/.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (*.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (sin.f64 x) y))) x))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x y)) (/.f64 (sin.f64 x) y) (/.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 y #s(literal 4 binary64)))) x)))
(* 1/2 (- (exp y) (exp (* -1 y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(- (exp y) (exp (* -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp (* -1 y))
(exp.f64 (neg.f64 y))

rewrite253.0ms (2.7%)

Memory
-25.7MiB live, 265.2MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042205
071185
1218181
21469181
08111181
Stop Event
iter limit
node limit
iter limit
Counts
22 → 672
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sinh.f64 y) x)
(sinh.f64 y)
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp.f64 y)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(exp.f64 (neg.f64 y))
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) x))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x))) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))) (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (sin.f64 x) #s(literal -2 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))) (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) x))
(*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) (neg.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (neg.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) x))
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (neg.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)) (/.f64 (sin.f64 x) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) x) (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (sin.f64 x) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (/.f64 (sin.f64 x) x)) (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) x) (/.f64 (/.f64 (sin.f64 x) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
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(/.f64 (+.f64 (pow.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64))) (*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)))

eval205.0ms (2.2%)

Memory
24.6MiB live, 260.5MiB allocated; 53ms collecting garbage
Compiler

Compiled 22 243 to 3 045 computations (86.3% saved)

prune76.0ms (0.8%)

Memory
8.5MiB live, 102.1MiB allocated; 3ms collecting garbage
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New67715692
Fresh213
Picked325
Done000
Total68218700
Accuracy
100.0%
Counts
700 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.6%
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
42.6%
(/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x))
43.8%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
65.6%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
79.5%
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
87.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
29.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
35.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
76.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
55.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
42.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
38.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
31.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
57.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
50.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
63.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
39.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Compiler

Compiled 794 to 559 computations (29.6% saved)

simplify175.0ms (1.9%)

Memory
7.0MiB live, 197.3MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x)
cost-diff0
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)
cost-diff0
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
cost-diff0
(exp.f64 y)
cost-diff0
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
cost-diff0
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
cost-diff0
#s(approx (/ (sin x) x) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
cost-diff0
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062367
089367
1178365
2550359
32527359
08286356
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))
#s(literal 2 binary64)
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(sin.f64 x)
x
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
(exp.f64 y)
y
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sin.f64 x)
x
Outputs
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (sinh.f64 (*.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 (*.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))
(*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
(sinh.f64 (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
(sin.f64 x)
x
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
(exp.f64 y)
y
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)
(*.f64 (/.f64 y x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x)
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sin.f64 x)
x

localize381.0ms (4.1%)

Memory
-19.8MiB live, 306.8MiB allocated; 68ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
accuracy0.0390625
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)
accuracy0.04296875
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x)
accuracy1.4094889488941804
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
accuracy0.0
(exp.f64 y)
accuracy1.5688190692857102
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
accuracy15.820005488149704
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
accuracy32.21608591533129
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
accuracy0.01953125
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy0.046875
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
accuracy1.317005261666665
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
accuracy16.12155807955533
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.03515625
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
accuracy1.5139975777971895
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
accuracy16.121247713423195
#s(approx (/ (sin x) x) #s(literal 1 binary64))
accuracy0.09375
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
accuracy0.1328125
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
accuracy1.6721445285695515
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))
accuracy8.904319579445188
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
Samples
150.0ms111×0exit
82.0ms68×1valid
47.0ms45×2valid
38.0ms25×3valid
2.0ms0valid
Compiler

Compiled 265 to 48 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 233.0ms
ival-mult: 63.0ms (27% of total)
ival-div: 51.0ms (21.9% of total)
adjust: 43.0ms (18.4% of total)
ival-exp: 23.0ms (9.9% of total)
ival-add: 17.0ms (7.3% of total)
ival-cosh: 10.0ms (4.3% of total)
const: 8.0ms (3.4% of total)
ival-sinh: 7.0ms (3% of total)
ival-sin: 6.0ms (2.6% of total)
ival-sub: 3.0ms (1.3% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series50.0ms (0.5%)

Memory
28.9MiB live, 73.1MiB allocated; 12ms collecting garbage
Counts
22 → 119
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
(exp.f64 y)
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
Outputs
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))))
(* x (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* x (- (+ (exp (* 3 y)) (* -1/6 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))) (/ 1 (exp (* 3 y)))))
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* 1/120 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))))) (/ 1 (exp (* 3 y)))))
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))) (* 1/120 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))))))) (/ 1 (exp (* 3 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)))))
(+ (* 1/2 (- (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)))))))))
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))))))
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)))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* 1/6 (pow y 2))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))))
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))))
(* 2 (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(* 1/2 (/ (* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(/ (sin x) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)
(/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x)
(* (sin x) (+ 1 (* 1/6 (pow y 2))))
(* y (+ (* (pow y 2) (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* 6 (* y (sin x)))
(* y (+ (* 6 (sin x)) (* 9 (* (pow y 2) (sin x)))))
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 81/20 (* (pow y 2) (sin x))) (* 9 (sin x))))))
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 9 (sin x)) (* (pow y 2) (+ (* 243/280 (* (pow y 2) (sin x))) (* 81/20 (sin x))))))))
(* 6 y)
(* y (+ 6 (* 9 (pow y 2))))
(* y (+ 6 (* (pow y 2) (+ 9 (* 81/20 (pow y 2))))))
(* y (+ 6 (* (pow y 2) (+ 9 (* (pow y 2) (+ 81/20 (* 243/280 (pow y 2))))))))
(* 3 y)
(* y (+ 3 (* 9/2 (pow y 2))))
(* y (+ 3 (* (pow y 2) (+ 9/2 (* 81/40 (pow y 2))))))
(* y (+ 3 (* (pow y 2) (+ 9/2 (* (pow y 2) (+ 81/40 (* 243/560 (pow y 2))))))))
(* 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)))
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 2 y)
(* y (+ 2 (* 1/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(* 6 x)
(+ (* 6 x) (* 8 (* x (pow y 2))))
(+ (* 6 x) (* (pow y 2) (+ (* 8/3 (* x (pow y 2))) (* 8 x))))
(+ (* 6 x) (* (pow y 2) (+ (* 8 x) (* (pow y 2) (+ (* 16/45 (* x (pow y 2))) (* 8/3 x))))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(- (exp (* 3 y)) (/ 1 (exp (* 3 y))))
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(exp y)
(* 1/6 (/ (* (pow y 3) (sin x)) x))
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* 1/6 (/ (* (pow y 2) (sin x)) x))
(* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* 1/6 (* (pow y 2) (sin x)))
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(exp (neg y))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))
(exp (* -1 y))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
y
@inf
((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (sinh (* 3 y)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (+ (* (* y y) 1/120) 1/6) (exp (neg y)))
7.0ms
x
@-inf
((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (sinh (* 3 y)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (+ (* (* y y) 1/120) 1/6) (exp (neg y)))
6.0ms
x
@inf
((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (sinh (* 3 y)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (+ (* (* y y) 1/120) 1/6) (exp (neg y)))
5.0ms
y
@-inf
((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (sinh (* 3 y)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (+ (* (* y y) 1/120) 1/6) (exp (neg y)))
3.0ms
x
@0
((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (sinh (* 3 y)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) y) (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (* (+ (* (* y y) 1/6) 1) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (+ (* (* y y) 1/120) 1/6) (exp (neg y)))

simplify230.0ms (2.5%)

Memory
3.9MiB live, 199.6MiB allocated; 45ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04562562
117742178
277792152
080681961
Stop Event
iter limit
node limit
Counts
119 → 118
Calls
Call 1
Inputs
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))))
(* x (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* x (- (+ (exp (* 3 y)) (* -1/6 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))) (/ 1 (exp (* 3 y)))))
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* 1/120 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))))) (/ 1 (exp (* 3 y)))))
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))) (* 1/120 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))))))) (/ 1 (exp (* 3 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)))))
(+ (* 1/2 (- (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)))))))))
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))))))
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)))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* 1/6 (pow y 2))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))
(* x (+ 1 (* 1/6 (pow y 2))))
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))))
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))))
(* 2 (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(* 1/2 (/ (* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(/ (sin x) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)
(/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x)
(* (sin x) (+ 1 (* 1/6 (pow y 2))))
(* y (+ (* (pow y 2) (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* 6 (* y (sin x)))
(* y (+ (* 6 (sin x)) (* 9 (* (pow y 2) (sin x)))))
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 81/20 (* (pow y 2) (sin x))) (* 9 (sin x))))))
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 9 (sin x)) (* (pow y 2) (+ (* 243/280 (* (pow y 2) (sin x))) (* 81/20 (sin x))))))))
(* 6 y)
(* y (+ 6 (* 9 (pow y 2))))
(* y (+ 6 (* (pow y 2) (+ 9 (* 81/20 (pow y 2))))))
(* y (+ 6 (* (pow y 2) (+ 9 (* (pow y 2) (+ 81/20 (* 243/280 (pow y 2))))))))
(* 3 y)
(* y (+ 3 (* 9/2 (pow y 2))))
(* y (+ 3 (* (pow y 2) (+ 9/2 (* 81/40 (pow y 2))))))
(* y (+ 3 (* (pow y 2) (+ 9/2 (* (pow y 2) (+ 81/40 (* 243/560 (pow y 2))))))))
(* 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)))
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 2 y)
(* y (+ 2 (* 1/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(sin x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(* 6 x)
(+ (* 6 x) (* 8 (* x (pow y 2))))
(+ (* 6 x) (* (pow y 2) (+ (* 8/3 (* x (pow y 2))) (* 8 x))))
(+ (* 6 x) (* (pow y 2) (+ (* 8 x) (* (pow y 2) (+ (* 16/45 (* x (pow y 2))) (* 8/3 x))))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(- (exp (* 3 y)) (/ 1 (exp (* 3 y))))
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(exp y)
(* 1/6 (/ (* (pow y 3) (sin x)) x))
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* 1/6 (/ (* (pow y 2) (sin x)) x))
(* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* 1/6 (* (pow y 2) (sin x)))
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(exp (neg y))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))
(exp (* -1 y))
Outputs
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y)) (+.f64 (fma.f64 (exp.f64 y) (exp.f64 y) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) y))) #s(literal 1/2 binary64))
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y)) (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y)) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (exp.f64 y) (exp.f64 y) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) y)))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y)) (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y))) (*.f64 x x))) (+.f64 (fma.f64 (exp.f64 y) (exp.f64 y) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) y)))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 x x)) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y))) (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y)) (*.f64 #s(literal -1/12 binary64) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y))))) (+.f64 (fma.f64 (exp.f64 y) (exp.f64 y) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) y))) (*.f64 x x) (*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y)) (+.f64 (fma.f64 (exp.f64 y) (exp.f64 y) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) y))) #s(literal 1/2 binary64)))
(* x (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y)) x)
(* x (- (+ (exp (* 3 y)) (* -1/6 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))) (/ 1 (exp (* 3 y)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y)) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y))) x)
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* 1/120 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))))) (/ 1 (exp (* 3 y)))))
(*.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y))) x)
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))) (* 1/120 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))))))) (/ 1 (exp (* 3 y)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y)))) (*.f64 x x) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) (pow.f64 (exp.f64 #s(literal -3 binary64)) y))) x)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(+ (* -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 (*.f64 x x) #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)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #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 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 x x)) (*.f64 x x)))
y
(+ y (* -1/6 (* (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
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(* 1/120 (/ (* (pow y 5) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 y y))) x) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (/.f64 (sin.f64 x) y) y) (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 5 binary64)))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 y y))) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (/.f64 (sin.f64 x) y) y) (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* 1/2 (- (exp y) (exp (neg y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(- (exp y) (exp (neg y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp y)
(exp.f64 y)
(* 1/6 (/ (* (pow y 3) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) y) y)) x) (pow.f64 y #s(literal 3 binary64)))
(* 1/6 (/ (* (pow y 2) (sin x)) x))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) x)) y) y)
(* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) y) y)) x) (*.f64 y y))
(* 1/6 (* (pow y 2) (sin x)))
(*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) #s(literal 1/6 binary64))
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) y) y)) (*.f64 y y))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) y) y)
(exp (neg y))
(exp.f64 (neg.f64 y))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (/.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 y y))) x))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 (/.f64 (sin.f64 x) y) y) (/.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 y #s(literal 4 binary64)))) x)))
(* 1/2 (- (exp y) (exp (* -1 y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(- (exp y) (exp (* -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 y y))) x))
(exp (* -1 y))
(exp.f64 (neg.f64 y))

rewrite202.0ms (2.2%)

Memory
-7.6MiB live, 282.6MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062324
089324
1265320
21745320
08156317
Stop Event
iter limit
node limit
iter limit
Counts
22 → 313
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
(exp.f64 y)
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 (/.f64 (sin.f64 x) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))
(*.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (sin.f64 x) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))
(*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 x) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (/.f64 (sin.f64 x) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) y)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 9 binary64)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 3 binary64)))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (+.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 3 binary64)) (exp.f64 (fma.f64 y #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) y)))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (-.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (sinh.f64 (*.f64 y #s(literal 3 binary64))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) y)))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (exp.f64 y) #s(literal 9 binary64)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 3 binary64)))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 3 binary64)) (exp.f64 (fma.f64 y #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) y)))))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) (-.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (sinh.f64 (*.f64 y #s(literal 3 binary64))))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) #s(literal 4 binary64)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 3 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) y))) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 9 binary64)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 3 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 3 binary64)) (exp.f64 (fma.f64 y #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) y))))) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (-.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))))
(/.f64 (*.f64 (fma.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 4 binary64) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))))
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(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64))) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (sin.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (sin.f64 x)) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x)
(neg.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)) x))
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) (neg.f64 x)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) x) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) x))
(+.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (sin.f64 x))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (sin.f64 x))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) (sin.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x) (sin.f64 x))
(fma.f64 #s(literal 1 binary64) (sin.f64 x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(fma.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (sin.f64 x)))
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) #s(literal 1/216 binary64))) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y))) y #s(literal 1/6 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/120 binary64)))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/120 binary64) y)))
(+.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))

eval57.0ms (0.6%)

Memory
2.3MiB live, 148.4MiB allocated; 20ms collecting garbage
Compiler

Compiled 18 328 to 2 021 computations (89% saved)

prune28.0ms (0.3%)

Memory
-23.0MiB live, 69.2MiB allocated; 8ms collecting garbage
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New41112423
Fresh3811
Picked325
Done022
Total41724441
Accuracy
100.0%
Counts
441 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.6%
(/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x))
43.7%
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
43.8%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
65.6%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
79.5%
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
38.4%
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
50.1%
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
87.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
24.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
16.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
76.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
55.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
55.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
44.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
55.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
55.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
39.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))
42.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
38.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
31.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
57.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
63.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
39.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Compiler

Compiled 1 348 to 883 computations (34.5% saved)

simplify197.0ms (2.1%)

Memory
6.2MiB live, 150.7MiB allocated; 39ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
cost-diff2
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
cost-diff0
(fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
cost-diff0
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
cost-diff0
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
cost-diff0
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
cost-diff0
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
cost-diff0
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063478
089474
1194472
2632470
32887470
08323452
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1/2 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64))
(fabs.f64 (*.f64 #s(literal 1/120 binary64) y))
(*.f64 #s(literal 1/120 binary64) y)
#s(literal 1/120 binary64)
y
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
#s(literal 1 binary64)
(sinh.f64 y)
y
Outputs
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) (/.f64 (sin.f64 x) x)))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) (/.f64 (sin.f64 x) x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1/2 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 (fabs.f64 y) y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 (fabs.f64 y) y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 (fabs.f64 y) y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (fabs.f64 y) y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64))
(fma.f64 (*.f64 (fabs.f64 y) y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fabs.f64 (*.f64 #s(literal 1/120 binary64) y))
(*.f64 (fabs.f64 y) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) y)
#s(literal 1/120 binary64)
y
#s(literal 1/6 binary64)
(*.f64 y y)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(sinh.f64 y)
#s(literal 1 binary64)
(sinh.f64 y)
y

localize281.0ms (3%)

Memory
-2.4MiB live, 518.6MiB allocated; 83ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
accuracy0.0078125
(sinh.f64 y)
accuracy15.820005488149704
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
accuracy0.03515625
(*.f64 #s(literal 1/120 binary64) y)
accuracy0.046875
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
accuracy1.317005261666665
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
accuracy16.8545409087207
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.08984375
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
accuracy1.317005261666665
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
accuracy16.12155807955533
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))
accuracy34.121534859081116
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
accuracy1.541631488871269
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
accuracy1.5688190692857102
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
accuracy15.820005488149704
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
accuracy32.21608591533129
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
accuracy0.0078125
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
accuracy0.0390625
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
accuracy0.046875
(/.f64 (sin.f64 x) x)
accuracy1.4094889488941804
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
Samples
88.0ms111×0exit
72.0ms90×1valid
66.0ms48×2valid
3.0ms0valid
Compiler

Compiled 277 to 52 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-mult: 73.0ms (37.8% of total)
adjust: 29.0ms (15% of total)
ival-exp: 23.0ms (11.9% of total)
ival-sinh: 16.0ms (8.3% of total)
ival-div: 15.0ms (7.8% of total)
ival-add: 12.0ms (6.2% of total)
const: 9.0ms (4.7% of total)
ival-sin: 6.0ms (3.1% of total)
ival-cosh: 5.0ms (2.6% of total)
ival-sub: 3.0ms (1.6% of total)
ival-fabs: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory
36.3MiB live, 84.1MiB allocated; 1ms collecting garbage
Counts
24 → 92
Calls
Call 1
Inputs
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
(sinh.f64 y)
(/.f64 (sin.f64 x) x)
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) y)
Outputs
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))))
(* y (+ 1 (* 1/6 (pow y 2))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))
(* 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)))))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
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)))
(* 1/2 (/ (* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)
(/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (sin x) x)
(/ (* y (sin x)) x)
(* y (+ (* (pow y 2) (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(+ (* 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)))
y
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 2 y)
(* y (+ 2 (* 1/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(+ 1 (* (pow y 2) (+ 1/6 (* y (fabs (* 1/120 y))))))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/120 (pow y 2))
(* 1/120 y)
(* 1/6 (/ (* (pow y 3) (sin x)) x))
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* 1/6 (/ (* (pow y 2) (sin x)) x))
(* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(exp y)
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 3) (fabs (* 1/120 y)))
(* (pow y 3) (+ (fabs (* 1/120 y)) (* 1/6 (/ 1 y))))
(* (pow y 3) (+ (fabs (* 1/120 y)) (+ (* 1/6 (/ 1 y)) (/ 1 (pow y 3)))))
(exp (neg y))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* -1 (* (pow y 3) (- (* -1 (fabs (* 1/120 y))) (* 1/6 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -1 (fabs (* 1/120 y))) (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) y)))))
(exp (* -1 y))
Calls

6 calls:

TimeVariablePointExpression
25.0ms
y
@inf
((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) y) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (+ (* (* y y) 1/6) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (fabs (* 1/120 y)) y) 1/6) (* y y)) 1) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (/ (sin x) x) (exp (neg y)) (+ (* (* y y) 1/120) 1/6) (* (* y y) 1/120) (* 1/120 y))
6.0ms
x
@-inf
((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) y) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (+ (* (* y y) 1/6) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (fabs (* 1/120 y)) y) 1/6) (* y y)) 1) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (/ (sin x) x) (exp (neg y)) (+ (* (* y y) 1/120) 1/6) (* (* y y) 1/120) (* 1/120 y))
5.0ms
y
@-inf
((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) y) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (+ (* (* y y) 1/6) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (fabs (* 1/120 y)) y) 1/6) (* y y)) 1) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (/ (sin x) x) (exp (neg y)) (+ (* (* y y) 1/120) 1/6) (* (* y y) 1/120) (* 1/120 y))
4.0ms
x
@inf
((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) y) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (+ (* (* y y) 1/6) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (fabs (* 1/120 y)) y) 1/6) (* y y)) 1) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (/ (sin x) x) (exp (neg y)) (+ (* (* y y) 1/120) 1/6) (* (* y y) 1/120) (* 1/120 y))
3.0ms
y
@0
((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) y) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (+ (* (* y y) 1/6) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (+ (* (+ (* (fabs (* 1/120 y)) y) 1/6) (* y y)) 1) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (/ (sin x) x) (exp (neg y)) (+ (* (* y y) 1/120) 1/6) (* (* y y) 1/120) (* 1/120 y))

simplify228.0ms (2.5%)

Memory
-0.4MiB live, 290.1MiB allocated; 88ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03601997
113761675
262071634
086081491
Stop Event
iter limit
node limit
Counts
92 → 91
Calls
Call 1
Inputs
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))))
(* y (+ 1 (* 1/6 (pow y 2))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))
(* 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)))))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
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)))
(* 1/2 (/ (* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)
(/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (sin x) x)
(/ (* y (sin x)) x)
(* y (+ (* (pow y 2) (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(+ (* 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)))
y
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 2 y)
(* y (+ 2 (* 1/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(+ 1 (* (pow y 2) (+ 1/6 (* y (fabs (* 1/120 y))))))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/120 (pow y 2))
(* 1/120 y)
(* 1/6 (/ (* (pow y 3) (sin x)) x))
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* 1/6 (/ (* (pow y 2) (sin x)) x))
(* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(exp y)
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 3) (fabs (* 1/120 y)))
(* (pow y 3) (+ (fabs (* 1/120 y)) (* 1/6 (/ 1 y))))
(* (pow y 3) (+ (fabs (* 1/120 y)) (+ (* 1/6 (/ 1 y)) (/ 1 (pow y 3)))))
(exp (neg y))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* -1 (* (pow y 3) (- (* -1 (fabs (* 1/120 y))) (* 1/6 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -1 (fabs (* 1/120 y))) (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) y)))))
(exp (* -1 y))
Outputs
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
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(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))))
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(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))
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(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))
(fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y))
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(+ (* -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 (*.f64 x x) #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)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #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 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ (* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) (fma.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) x x))
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) (sin.f64 x)) x)
(/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x)
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)) #s(literal 1/2 binary64))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (sin.f64 x)) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* y (+ (* (pow y 2) (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) (sin.f64 x)) x)
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 83/360 binary64) (*.f64 #s(literal -2/9 binary64) (/.f64 (sin.f64 x) x))) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) x) y))
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1291/15120 binary64)) (fma.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 83/360 binary64) (*.f64 #s(literal -2/9 binary64) (/.f64 (sin.f64 x) x))) #s(literal 4/3 binary64) (*.f64 #s(literal 2/27 binary64) (/.f64 (sin.f64 x) x)))) (*.f64 y y) (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 83/360 binary64) (*.f64 #s(literal -2/9 binary64) (/.f64 (sin.f64 x) x)))) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) x) y))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) (sin.f64 x)) x)
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) #s(literal 1/120 binary64))) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(* 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 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 (sin.f64 x) y) y))) x))) y)
y
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 1/3 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) #s(literal 1/120 binary64))) x) (*.f64 y y) (/.f64 (sin.f64 x) x))
(+ 1 (* (pow y 2) (+ 1/6 (* y (fabs (* 1/120 y))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) (fabs.f64 y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 #s(literal 1/120 binary64) y)
(* 1/6 (/ (* (pow y 3) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) (sin.f64 x)) x)
(* 1/6 (/ (* (pow y 2) (sin x)) x))
(*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64)) y) y)
(* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x))
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* 1/2 (- (exp y) (exp (neg y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(- (exp y) (exp (neg y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(exp y)
(exp.f64 y)
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 1/120 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 5 binary64)))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/6 binary64) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 1/120 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 3) (fabs (* 1/120 y)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/120 binary64)) (fabs.f64 y))
(* (pow y 3) (+ (fabs (* 1/120 y)) (* 1/6 (/ 1 y))))
(*.f64 (fma.f64 (fabs.f64 y) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (fabs (* 1/120 y)) (+ (* 1/6 (/ 1 y)) (/ 1 (pow y 3)))))
(*.f64 (fma.f64 (fabs.f64 y) #s(literal 1/120 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)) (pow.f64 y #s(literal 3 binary64)))
(exp (neg y))
(exp.f64 (neg.f64 y))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 y y))) x))
(* 1/2 (- (exp y) (exp (* -1 y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(- (exp y) (exp (* -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (/.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal -1/6 binary64) y))) x))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x y)) (/.f64 (sin.f64 x) y) (/.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 y #s(literal 4 binary64)))) x)))
(* -1 (* (pow y 3) (- (* -1 (fabs (* 1/120 y))) (* 1/6 (/ 1 y)))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (fabs.f64 y) (/.f64 #s(literal -1/6 binary64) y)))
(* -1 (* (pow y 3) (+ (* -1 (fabs (* 1/120 y))) (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) y)))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fabs.f64 y) #s(literal 1/120 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y))))
(exp (* -1 y))
(exp.f64 (neg.f64 y))

rewrite235.0ms (2.5%)

Memory
-24.9MiB live, 261.7MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063434
089430
1313426
22259405
09799404
Stop Event
iter limit
node limit
iter limit
Counts
24 → 278
Calls
Call 1
Inputs
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y)
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
#s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
(sinh.f64 y)
(/.f64 (sin.f64 x) x)
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) y)
Outputs
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 (sin.f64 x) x)))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal -1/120 binary64) y) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1/120 binary64) y))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 y (*.f64 #s(literal 1/120 binary64) y))
(sqrt.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (*.f64 (neg.f64 y) (neg.f64 (*.f64 #s(literal -1/120 binary64) y))))
(fabs.f64 (*.f64 y (neg.f64 (*.f64 #s(literal -1/120 binary64) y))))
(fabs.f64 (*.f64 y (*.f64 #s(literal -1/120 binary64) y)))
(fabs.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) y)) (neg.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) y)) y))
(fabs.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) y) y))
(fabs.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) (neg.f64 y)))
(fabs.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 1/120 binary64) y)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(fabs.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/120 binary64) y))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/120 binary64) y))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/120 binary64) y))) (fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/120 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/120 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/120 binary64) y)) (sqrt.f64 (*.f64 #s(literal -1/120 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (sqrt.f64 #s(literal 1/120 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/120 binary64)) (sqrt.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/120 binary64) y))))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/120 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1/120 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/120 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/120 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/120 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/14400 binary64) #s(literal 1/2 binary64)) y)
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/120 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/120 binary64) y)) (sqrt.f64 (*.f64 #s(literal 1/120 binary64) y)))
(*.f64 #s(literal 1/120 binary64) y)
(*.f64 y (pow.f64 #s(literal 1/14400 binary64) #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/120 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/120 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/120 binary64) y) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 y y)))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) y))))
(fabs.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) y)))
(fabs.f64 (*.f64 #s(literal -1/120 binary64) y))
(fabs.f64 (*.f64 #s(literal 1/120 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 y y))) #s(literal 1/2 binary64)))

eval54.0ms (0.6%)

Memory
13.4MiB live, 102.6MiB allocated; 11ms collecting garbage
Compiler

Compiled 17 933 to 1 842 computations (89.7% saved)

prune57.0ms (0.6%)

Memory
-9.5MiB live, 87.0MiB allocated; 16ms collecting garbage
Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New3395344
Fresh21315
Picked235
Done044
Total34325368
Accuracy
100.0%
Counts
368 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.6%
(/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x))
43.7%
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
43.8%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
65.6%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
79.5%
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
54.1%
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
38.4%
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
50.1%
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
87.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
24.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
26.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
16.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
76.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
55.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
44.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
55.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
55.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
39.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))
42.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
38.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
31.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
57.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
63.9%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
39.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Compiler

Compiled 1 898 to 745 computations (60.7% saved)

regimes74.0ms (0.8%)

Memory
60.1MiB live, 131.5MiB allocated; 39ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))))
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
Calls

4 calls:

29.0ms
x
23.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
11.0ms
y
9.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
99.9%1(sinh.f64 y)
99.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
99.9%1x
99.9%1y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes115.0ms (1.2%)

Memory
-48.0MiB live, 112.2MiB allocated; 60ms collecting garbage
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
Calls

4 calls:

10.0ms
(sinh.f64 y)
9.0ms
y
9.0ms
x
7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
91.7%2(sinh.f64 y)
87.4%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
94.3%2x
94.5%3y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes10.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
93.2%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.1%)

Memory
-21.9MiB live, 22.9MiB allocated; 4ms collecting garbage
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
93.2%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes46.0ms (0.5%)

Memory
-6.3MiB live, 89.6MiB allocated; 29ms collecting garbage
Counts
31 → 4
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
Calls

3 calls:

26.0ms
y
10.0ms
(sinh.f64 y)
8.0ms
x
Results
AccuracySegmentsBranch
88.3%2(sinh.f64 y)
92.5%4y
89.4%2x
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes10.0ms (0.1%)

Memory
32.3MiB live, 32.3MiB allocated; 0ms collecting garbage
Counts
30 → 4
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y))
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
92.5%4y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes57.0ms (0.6%)

Memory
-18.5MiB live, 74.0MiB allocated; 8ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
Calls

4 calls:

30.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
10.0ms
y
8.0ms
x
7.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
88.0%3(sinh.f64 y)
88.5%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
78.5%2x
90.0%4y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes72.0ms (0.8%)

Memory
-4.5MiB live, 91.0MiB allocated; 14ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
Calls

4 calls:

47.0ms
(sinh.f64 y)
11.0ms
x
7.0ms
y
6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
73.8%2x
67.2%3(sinh.f64 y)
69.2%4y
63.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes8.0ms (0.1%)

Memory
28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
73.5%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory
-11.4MiB live, 31.5MiB allocated; 5ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
68.3%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
-12.9MiB live, 30.8MiB allocated; 4ms collecting garbage
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
68.0%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
66.4%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) y) y #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
66.3%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.2%)

Memory
-29.6MiB live, 29.6MiB allocated; 7ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

4 calls:

8.0ms
x
2.0ms
y
2.0ms
(sinh.f64 y)
2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
50.1%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
53.3%3(sinh.f64 y)
53.3%3y
62.1%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes3.0ms (0%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
61.0%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
59.1%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
-24.1MiB live, 20.5MiB allocated; 3ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Calls

4 calls:

4.0ms
x
2.0ms
y
1.0ms
(sinh.f64 y)
1.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
38.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
42.3%3(sinh.f64 y)
42.3%3y
44.4%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes2.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
43.0%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
y
1.0ms
x
1.0ms
(sinh.f64 y)
1.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
31.8%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
31.8%1y
31.8%1(sinh.f64 y)
31.8%1x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch15.0ms (0.2%)

Memory
-15.9MiB live, 31.3MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.7599560800404596e-16
1.5828866966334804e-12
Samples
8.0ms128×0valid
Compiler

Compiled 282 to 219 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 2.0ms (42.4% of total)
ival-div: 1.0ms (21.2% of total)
ival-mult: 1.0ms (21.2% of total)
ival-sinh: 1.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
1.7599560800404596e-16
1.5828866966334804e-12
Compiler

Compiled 46 to 38 computations (17.4% saved)

bsearch1.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.7599560800404596e-16
1.5828866966334804e-12
Compiler

Compiled 298 to 227 computations (23.8% saved)

bsearch88.0ms (1%)

Memory
-29.2MiB live, 76.3MiB allocated; 52ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
59.0ms
5.3199571788622835e+98
4.293696921101822e+116
12.0ms
0.005171308060204237
0.4962598122238808
13.0ms
-66606.75715442147
-5748.989451754994
Samples
67.0ms368×0valid
Compiler

Compiled 1 068 to 839 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-sin: 50.0ms (85.5% of total)
ival-sinh: 3.0ms (5.1% of total)
ival-div: 2.0ms (3.4% of total)
ival-mult: 2.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.3199571788622835e+98
4.293696921101822e+116
1.0ms
0.005171308060204237
0.4962598122238808
1.0ms
-66606.75715442147
-5748.989451754994
Compiler

Compiled 1 068 to 839 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9860473306157146e-52
5.233917583264597e-31
0.0ms
-inf
-6.942475904156048e-10
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch19.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
6.08069060356799e+127
1.6756131555232014e+134
Samples
11.0ms144×0valid
Compiler

Compiled 280 to 245 computations (12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 5.0ms (61.5% of total)
ival-div: 1.0ms (12.3% of total)
ival-mult: 1.0ms (12.3% of total)
ival-sinh: 1.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
-26.8MiB live, 20.6MiB allocated; 15ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
7.580481623634907e+146
6.822865423208763e+149
Samples
24.0ms128×0valid
Compiler

Compiled 322 to 251 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 5.0ms (65.9% of total)
ival-div: 1.0ms (13.2% of total)
ival-mult: 1.0ms (13.2% of total)
ival-sinh: 1.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
25.8MiB live, 25.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.6756131555232014e+134
4.692058202578423e+135
Samples
9.0ms112×0valid
Compiler

Compiled 458 to 326 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 4.0ms (63.5% of total)
ival-div: 1.0ms (15.9% of total)
ival-mult: 1.0ms (15.9% of total)
ival-sinh: 1.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
0.4MiB live, 45.3MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
3.86851489532782e+137
1.3067302299224637e+143
4.0ms
1.135701210244186e+57
1.2543881496701483e+57
Samples
19.0ms176×0valid
Compiler

Compiled 703 to 485 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 11.0ms (74.5% of total)
ival-div: 1.0ms (6.8% of total)
ival-mult: 1.0ms (6.8% of total)
ival-sinh: 1.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.6756131555232014e+134
4.692058202578423e+135
Compiler

Compiled 493 to 347 computations (29.6% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.6756131555232014e+134
4.692058202578423e+135
Compiler

Compiled 542 to 347 computations (36% saved)

bsearch58.0ms (0.6%)

Memory
-25.6MiB live, 18.9MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
57.0ms
7.150510498699487e+28
9.037837670501333e+30
Samples
52.0ms112×0valid
Compiler

Compiled 521 to 375 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-sin: 46.0ms (94.3% of total)
ival-div: 1.0ms (2% of total)
ival-mult: 1.0ms (2% of total)
ival-sinh: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.135701210244186e+57
1.2543881496701483e+57
Compiler

Compiled 154 to 113 computations (26.6% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.6756131555232014e+134
4.692058202578423e+135
Compiler

Compiled 486 to 361 computations (25.7% saved)

bsearch8.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
3.86851489532782e+137
1.3067302299224637e+143
Samples
4.0ms48×0valid
Compiler

Compiled 415 to 317 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sin: 2.0ms (72% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory
-20.5MiB live, 28.2MiB allocated; 15ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.5657206116264004e+22
7.229438753821903e+27
Samples
12.0ms144×0valid
Compiler

Compiled 370 to 290 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 5.0ms (60.8% of total)
ival-div: 1.0ms (12.2% of total)
ival-mult: 1.0ms (12.2% of total)
ival-sinh: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify57.0ms (0.6%)

Memory
44.8MiB live, 86.0MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02001134
13031125
26761101
327011101
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(if (<=.f64 x #s(literal 3837614121784679/2475880078570760549798248448 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x))
(if (<=.f64 x #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)))
(if (<=.f64 x #s(literal 3837614121784679/2475880078570760549798248448 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -5800 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) (if (<=.f64 y #s(literal 420000000000000024032960572640169465172662403647816724840659090926649679495362246650917857359327313812112054148923392 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)))))
(if (<=.f64 y #s(literal -5800 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) (if (<=.f64 y #s(literal 420000000000000024032960572640169465172662403647816724840659090926649679495362246650917857359327313812112054148923392 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))))
(if (<=.f64 x #s(literal 4199999999999999930947628287711640177967501092315135931396389416763489269335591083753945949833136371706273115802676305819819048960 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1599999999999999893813867679559395873776315109085538921262816062329917978402294724148776199253200872528284433198886124656926491078838395410843697152 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1119999999999999944338004352398189698783547716614939997970323654123594888389037590854096605300139934464719797929506762442752752885956608 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1180000000000000025688673760919628895098902097239048454144 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) (if (<=.f64 x #s(literal 86999999999999998600015497551627591621535509542240721014645109794539937407056314045154818897767217789285091684469617476855013244025972310671360 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 1119999999999999944338004352398189698783547716614939997970323654123594888389037590854096605300139934464719797929506762442752752885956608 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1119999999999999944338004352398189698783547716614939997970323654123594888389037590854096605300139934464719797929506762442752752885956608 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1219999999999999962334747426816 binary64)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1180000000000000025688673760919628895098902097239048454144 binary64)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1119999999999999944338004352398189698783547716614939997970323654123594888389037590854096605300139934464719797929506762442752752885956608 binary64)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 107999999999999993033454621194018298799336298213647445684381772172016165242014663474602438265498916566057343683474932826403400942523350647832576 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 80000000000000000000000 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(if (<=.f64 x #s(literal 3837614121784679/2475880078570760549798248448 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x))
(if (<=.f64 x #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)))
(if (<=.f64 x #s(literal 3837614121784679/2475880078570760549798248448 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -5800 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) (if (<=.f64 y #s(literal 420000000000000024032960572640169465172662403647816724840659090926649679495362246650917857359327313812112054148923392 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)))))
(if (<=.f64 y #s(literal -5800 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)) (if (<=.f64 y #s(literal 420000000000000024032960572640169465172662403647816724840659090926649679495362246650917857359327313812112054148923392 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)))))
(if (or (<=.f64 y #s(literal -5800 binary64)) (not (or (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (not (<=.f64 y #s(literal 420000000000000024032960572640169465172662403647816724840659090926649679495362246650917857359327313812112054148923392 binary64)))))) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))))
(if (<=.f64 x #s(literal 4199999999999999930947628287711640177967501092315135931396389416763489269335591083753945949833136371706273115802676305819819048960 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1599999999999999893813867679559395873776315109085538921262816062329917978402294724148776199253200872528284433198886124656926491078838395410843697152 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1119999999999999944338004352398189698783547716614939997970323654123594888389037590854096605300139934464719797929506762442752752885956608 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1180000000000000025688673760919628895098902097239048454144 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) (if (<=.f64 x #s(literal 86999999999999998600015497551627591621535509542240721014645109794539937407056314045154818897767217789285091684469617476855013244025972310671360 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 1119999999999999944338004352398189698783547716614939997970323654123594888389037590854096605300139934464719797929506762442752752885956608 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1119999999999999944338004352398189698783547716614939997970323654123594888389037590854096605300139934464719797929506762442752752885956608 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1219999999999999962334747426816 binary64)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1180000000000000025688673760919628895098902097239048454144 binary64)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1119999999999999944338004352398189698783547716614939997970323654123594888389037590854096605300139934464719797929506762442752752885956608 binary64)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 #s(approx (/ (* (+ (* (* y y) 1/6) 1) (sin x)) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 107999999999999993033454621194018298799336298213647445684381772172016165242014663474602438265498916566057343683474932826403400942523350647832576 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 80000000000000000000000 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))

derivations1.9s (20.9%)

Memory
-12.5MiB live, 1 917.6MiB allocated; 370ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04562562
117742178
277792152
080681961
03601997
113761675
262071634
086081491
0113506
1434438
21692406
35247404
08163370
062324
089324
1265320
21745320
08156317
0616
01016
12216
27516
343616
4569516
0818416
04372413
116802095
269802023
080841841
063434
089430
1313426
22259405
09799404
042205
071185
1218181
21469181
08111181
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 125 to 206 computations (81.7% saved)

preprocess302.0ms (3.3%)

Memory
11.9MiB live, 395.9MiB allocated; 47ms collecting garbage
Remove

(abs x)

Compiler

Compiled 2 292 to 448 computations (80.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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