Linear.Quaternion:$ccosh from linear-1.19.1.3

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze12.0ms (0.1%)

Memory
-12.4MiB live, 23.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
87.5%87.4%12.5%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
93.8%93.7%6.2%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
96.9%96.8%3.1%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
98.4%98.3%1.6%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (12.7%)

Memory
12.2MiB live, 1 094.4MiB allocated
Samples
907.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 614.0ms
ival-sin: 260.0ms (42.4% of total)
ival-div: 121.0ms (19.7% of total)
ival-mult: 121.0ms (19.7% of total)
ival-sinh: 101.0ms (16.5% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain89.0ms (1%)

Memory
-1.5MiB live, 189.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
320-2(-3.46916162888836e-258 -8.209199958277508e-58)(/.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/n300
(*.f64 (sin.f64 x) (sinh.f64 y))underflow30
Confusion
Predicted +Predicted -
+302
-0224
Precision
1.0
Recall
0.9375
Confusion?
Predicted +Predicted MaybePredicted -
+3002
-00224
Precision?
1.0
Recall?
0.9375
Freqs
test
numberfreq
0226
130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sin: 21.0ms (55.6% of total)
ival-mult: 7.0ms (18.5% of total)
ival-sinh: 5.0ms (13.2% of total)
ival-div: 4.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess233.0ms (2.6%)

Memory
23.1MiB live, 224.0MiB allocated
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
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify180.0ms (2%)

Memory
-29.8MiB live, 253.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 y)
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (sinh.f64 y))
cost-diff0
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
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
-2.8MiB live, 36.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 x)
accuracy0.00390625
(sinh.f64 y)
accuracy0.078125
(*.f64 (sin.f64 x) (sinh.f64 y))
accuracy7.288241770268659
(/.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: 7.0ms (57.5% of total)
ival-div: 2.0ms (16.4% of total)
ival-mult: 2.0ms (16.4% of total)
ival-sinh: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
22.3MiB live, 22.3MiB allocated
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
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))
2.0ms
x
@inf
((/ (* (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))

simplify155.0ms (1.7%)

Memory
-10.6MiB live, 145.3MiB allocated
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)

rewrite233.0ms (2.6%)

Memory
-4.6MiB live, 151.2MiB allocated
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))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) x) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (sinh.f64 (neg.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x)))
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(/.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)))

eval64.0ms (0.7%)

Memory
6.4MiB live, 41.8MiB allocated
Compiler

Compiled 3 625 to 776 computations (78.6% saved)

prune7.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated
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
37.4%
(/.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))))
76.0%
(/.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)
38.3%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
99.9%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
88.5%
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64)))
87.3%
#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))
49.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
55.1%
#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)

simplify288.0ms (3.2%)

Memory
-20.3MiB live, 150.1MiB allocated
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)

localize395.0ms (4.4%)

Memory
8.9MiB live, 248.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(*.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)))
accuracy0.09765625
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
accuracy0.10282003162065376
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
accuracy8.190294636609652
(/.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)
accuracy15.181843452383472
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy27.689292818832662
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
accuracy0.01171875
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy0.0390625
(*.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)
accuracy0.05859375
(/.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)
accuracy1.443110470100348
#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)
accuracy0.02734375
(*.f64 (/.f64 (sin.f64 x) x) y)
accuracy0.05859375
(/.f64 (sin.f64 x) x)
accuracy1.8634608834429331
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
accuracy0.0
(/.f64 (sinh.f64 y) x)
accuracy0.0
(sin.f64 x)
accuracy0.00390625
(sinh.f64 y)
accuracy0.08984375
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
Samples
179.0ms127×5exit
59.0ms62×1valid
51.0ms35×2valid
41.0ms19×3valid
4.0ms13×0valid
Compiler

Compiled 242 to 42 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 257.0ms
ival-add: 53.0ms (20.6% of total)
ival-mult: 40.0ms (15.6% of total)
adjust: 38.0ms (14.8% of total)
ival-sin: 29.0ms (11.3% of total)
ival-exp: 25.0ms (9.7% of total)
ival-sinh: 22.0ms (8.6% of total)
ival-cosh: 20.0ms (7.8% of total)
ival-div: 14.0ms (5.5% of total)
const: 10.0ms (3.9% of total)
ival-sub: 5.0ms (1.9% 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)

series111.0ms (1.2%)

Memory
-11.8MiB live, 63.5MiB allocated
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
59.0ms
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)))
16.0ms
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)))
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)))
9.0ms
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)))

simplify199.0ms (2.2%)

Memory
31.2MiB live, 110.5MiB allocated
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)))))
(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 (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) #s(literal 1 binary64)))
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(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))

rewrite310.0ms (3.5%)

Memory
-7.5MiB live, 200.9MiB allocated
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)))
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) x) (/.f64 (sin.f64 x) (*.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)) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (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) x) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))))
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(/.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)))

eval123.0ms (1.4%)

Memory
-18.6MiB live, 174.3MiB allocated
Compiler

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

prune27.0ms (0.3%)

Memory
-13.4MiB live, 75.5MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New67814692
Fresh213
Picked235
Done000
Total68218700
Accuracy
100.0%
Counts
700 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.1%
(/.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)))
38.3%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
99.9%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
59.8%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
91.8%
(*.f64 #s(approx (/ (sinh y) 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) y)) (sin.f64 x))
79.3%
#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))
49.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
55.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
33.0%
#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)))
36.8%
#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)))
56.6%
#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))
36.2%
#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))
35.3%
#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))
27.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
60.0%
#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)))
52.4%
#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)))
66.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
36.0%
#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 751 to 527 computations (29.8% saved)

simplify145.0ms (1.6%)

Memory
33.9MiB live, 184.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
053418
083418
1155418
2448418
31874418
46792415
08224412
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sinh y) 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) y)) (sin.f64 x))
#s(approx (/ (sinh y) 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) y))
(*.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) y)
(/.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)
(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)
x
(sin.f64 x)
#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) #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) 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))
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
y
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 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)))
(*.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 (- (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))
(*.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)
(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))
(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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 y y)
y
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#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)))
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(literal 1/2 binary64)
Outputs
(*.f64 #s(approx (/ (sinh y) 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) y)) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) x) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) x)))
#s(approx (/ (sinh y) 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) y))
#s(approx (/ (sinh y) x) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) 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) y)
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) 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)) 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)) 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)
x
(sin.f64 x)
#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) #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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) (*.f64 x x) y)))
#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) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) (*.f64 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)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) (*.f64 x x) y)
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)
y
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 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 #s(literal 1/2 binary64) #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))))
(*.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))
(*.f64 #s(literal 1/2 binary64) #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(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))
(*.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)
(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))
(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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 y y)
y
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#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)))
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(literal 1/2 binary64)

localize300.0ms (3.4%)

Memory
-13.0MiB live, 433.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (neg.f64 y))
accuracy21.431774642522463
#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)))
accuracy27.689292818832662
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y)))
accuracy32.50110482057419
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
accuracy0.0546875
(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))
accuracy0.0546875
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
accuracy5.326552328071389
#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))
accuracy21.431774642522463
#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)))
accuracy0.07421875
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy3.0091224471421594
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy28.59096782186226
#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))
accuracy32.1796309706603
#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)))
accuracy0.0859375
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
accuracy28.254676439939963
#s(approx (/ (sin x) x) #s(literal 1 binary64))
accuracy32.1796309706603
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
accuracy0.08984375
(*.f64 #s(approx (/ (sinh y) 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) y)) (sin.f64 x))
accuracy0.1796875
(*.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) y)
accuracy1.2168451513110456
(/.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)
accuracy5.690357516777704
#s(approx (/ (sinh y) 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) y))
Samples
124.0ms44×2valid
89.0ms72×1valid
55.0ms140×0valid
Compiler

Compiled 269 to 47 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 236.0ms
ival-mult: 65.0ms (27.6% of total)
ival-exp: 55.0ms (23.3% of total)
ival-add: 45.0ms (19.1% of total)
const: 39.0ms (16.5% of total)
adjust: 11.0ms (4.7% of total)
ival-sin: 8.0ms (3.4% of total)
ival-div: 7.0ms (3% of total)
ival-sub: 2.0ms (0.8% of total)
ival-sinh: 2.0ms (0.8% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
13.8MiB live, 52.3MiB allocated
Counts
23 → 85
Calls
Call 1
Inputs
(*.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) y)
(*.f64 #s(approx (/ (sinh y) 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) y)) (sin.f64 x))
#s(approx (/ (sinh y) 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) y))
(/.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)
#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) #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) 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))
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 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)))
(*.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 (- (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))
(*.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(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)))
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
(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))
(exp.f64 (neg.f64 y))
Outputs
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
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)))
(* -1/6 y)
(+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(/ (sin x) x)
(* 1/120 (* (pow x 4) y))
(* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))
(* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (+ (* 1/120 y) (/ y (pow x 4)))))
(* 1/120 (* (pow x 2) y))
(* (pow x 2) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(/ 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 (+ (* 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 (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ 1 x)
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* y (- (* 1/120 (pow x 2)) 1/6))
(* 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))))))))
(* 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))))))
1/60
(+ 1/60 (* 1/2520 (pow y 2)))
1/3
(+ 1/3 (* 1/60 (pow y 2)))
(+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* 1/120 (/ (pow y 5) x))
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(* 1/120 (/ (pow y 4) x))
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(* 1/2520 (pow y 7))
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6)))))))
(exp y)
(* 1/2520 (pow y 2))
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* 1/2520 (pow y 4))
(* (pow y 4) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(exp (neg y))
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x)))))
(* -1 (* y (- (* -1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) 1)))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))))
(exp (* -1 y))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
((* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* 1/120 (* x x)) -1/6)) (* x x)) y) (* y (+ (* 1/120 (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y)))
5.0ms
y
@inf
((* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* 1/120 (* x x)) -1/6)) (* x x)) y) (* y (+ (* 1/120 (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y)))
4.0ms
x
@-inf
((* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* 1/120 (* x x)) -1/6)) (* x x)) y) (* y (+ (* 1/120 (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y)))
3.0ms
x
@inf
((* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* 1/120 (* x x)) -1/6)) (* x x)) y) (* y (+ (* 1/120 (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y)))
3.0ms
y
@0
((* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* 1/120 (* x x)) -1/6)) (* x x)) y) (* y (+ (* 1/120 (* x x)) -1/6)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y)))

simplify224.0ms (2.5%)

Memory
-23.1MiB live, 167.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02601059
19351012
23320964
08234899
Stop Event
iter limit
node limit
Counts
85 → 84
Calls
Call 1
Inputs
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
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)))
(* -1/6 y)
(+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (sin x)) x)
(/ (sin x) x)
(* 1/120 (* (pow x 4) y))
(* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))
(* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (+ (* 1/120 y) (/ y (pow x 4)))))
(* 1/120 (* (pow x 2) y))
(* (pow x 2) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(/ 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 (+ (* 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 (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ 1 x)
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* y (- (* 1/120 (pow x 2)) 1/6))
(* 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))))))))
(* 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))))))
1/60
(+ 1/60 (* 1/2520 (pow y 2)))
1/3
(+ 1/3 (* 1/60 (pow y 2)))
(+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* 1/120 (/ (pow y 5) x))
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(* 1/120 (/ (pow y 4) x))
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(* 1/2520 (pow y 7))
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6)))))))
(exp y)
(* 1/2520 (pow y 2))
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* 1/2520 (pow y 4))
(* (pow y 4) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(exp (neg y))
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x)))))
(* -1 (* y (- (* -1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) 1)))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))))
(exp (* -1 y))
Outputs
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) 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 (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))) (*.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))) x))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 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)) 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 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) 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 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)))
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* 1/120 (* (pow x 4) y))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/120 binary64))
(* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))
(*.f64 (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) x) x) #s(literal -1/120 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (+ (* 1/120 y) (/ y (pow x 4)))))
(*.f64 (fma.f64 y (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) x) x) #s(literal -1/120 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* 1/120 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64))
(* (pow x 2) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y)))
(*.f64 (*.f64 (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) x) x) #s(literal -1/120 binary64))) x) x)
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
(/ y x)
(/.f64 y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(/.f64 (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) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* 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 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.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 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) x) (/.f64 y x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 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)) x)
(* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)
(* y (- (* 1/120 (pow x 2)) 1/6))
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* 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 #s(literal 1/120 binary64) (*.f64 y y) #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)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 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))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow y 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow y 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64))
(+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))
(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))
(+ 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))
(* 1/120 (/ (pow y 5) x))
(*.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/120 binary64))
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) y) y) #s(literal 1/120 binary64)) x) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) x) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 y #s(literal 5 binary64)))
(* 1/120 (/ (pow y 4) x))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64))
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) y) y) #s(literal 1/120 binary64)) x))
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) x) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (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)))
(* 1/2520 (pow y 7))
(*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 y y)) #s(literal 1/2520 binary64)) (pow.f64 y #s(literal 7 binary64)))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 y y))) (pow.f64 y #s(literal 7 binary64)))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 y y))) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 7 binary64)))
(exp y)
(exp.f64 y)
(* 1/2520 (pow y 2))
(*.f64 #s(literal 1/2520 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
(* 1/2520 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow y 4) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 y y)) #s(literal 1/2520 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(exp (neg y))
(exp.f64 (neg.f64 y))
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) x) (*.f64 y y)) #s(literal -1 binary64) (/.f64 #s(literal -1/120 binary64) x))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* y (- (* -1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) 1)))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 y))
(* 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 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) #s(literal -1/3 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 y y)) #s(literal 1/2520 binary64))))
(exp (* -1 y))
(exp.f64 (neg.f64 y))

rewrite241.0ms (2.7%)

Memory
5.4MiB live, 209.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053349
083343
1290343
21962343
09444343
Stop Event
iter limit
node limit
iter limit
Counts
23 → 327
Calls
Call 1
Inputs
(*.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) y)
(*.f64 #s(approx (/ (sinh y) 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) y)) (sin.f64 x))
#s(approx (/ (sinh y) 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) y))
(/.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)
#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) #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) 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))
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 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)))
(*.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 (- (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))
(*.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(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)))
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
(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))
(exp.f64 (neg.f64 y))
Outputs
(*.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) 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)) (/.f64 y x))
(*.f64 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))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (-.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) (*.f64 y (pow.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 y (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (neg.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))) y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 y (neg.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))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.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)) y))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) y) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) y) (*.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) x))
(/.f64 (*.f64 (neg.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))) y) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) y) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) y) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) x))
(/.f64 (*.f64 y (neg.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)))) (neg.f64 x))
(/.f64 (neg.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)) y)) (neg.f64 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)) y) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y (*.f64 (pow.f64 x #s(literal -1 binary64)) y))
(fma.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) (*.f64 y (pow.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) y))
(+.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) 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) y)))
(*.f64 #s(approx (/ (sinh y) 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) y)) (sin.f64 x))
#s(approx (/ (sinh y) 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) y))
(*.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)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (neg.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))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) x (*.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) x (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) x)))
(/.f64 (neg.f64 (neg.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)))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) x))
(/.f64 (neg.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))) (neg.f64 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)) x)
(neg.f64 (/.f64 (neg.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))
(neg.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)) (neg.f64 x)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (/.f64 (*.f64 y y) x) (pow.f64 x #s(literal -1 binary64)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 y))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 y))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y))))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(-.f64 (/.f64 (pow.f64 (cosh.f64 y) #s(literal 2 binary64)) (exp.f64 y)) (/.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (exp.f64 y)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y))))) (/.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y))))))
(-.f64 (cosh.f64 y) (sinh.f64 y))
(exp.f64 (*.f64 y #s(literal -1 binary64)))
(exp.f64 (neg.f64 y))
(+.f64 (/.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))))) (/.f64 (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))))))
(+.f64 (sinh.f64 (neg.f64 y)) (cosh.f64 y))
(+.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))

eval145.0ms (1.6%)

Memory
-0.7MiB live, 125.8MiB allocated
Compiler

Compiled 17 770 to 2 397 computations (86.5% saved)

prune371.0ms (4.1%)

Memory
-12.2MiB live, 73.5MiB allocated
Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New38912401
Fresh2810
Picked325
Done033
Total39425419
Accuracy
100.0%
Counts
419 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.1%
(/.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)))
38.3%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
99.9%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
59.8%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
91.8%
(*.f64 #s(approx (/ (sinh y) 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) y)) (sin.f64 x))
71.0%
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) y)) (sin.f64 x))
59.7%
(*.f64 #s(approx (/ (sinh y) x) (*.f64 #s(approx (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) y)) (sin.f64 x))
79.3%
#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))
49.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
55.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
26.5%
#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)))
15.8%
#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)))
56.6%
#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))
36.2%
#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))
35.3%
#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))
27.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
60.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
60.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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)))
60.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
59.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
52.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
47.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64)))
66.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
35.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y)))
35.3%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Compiler

Compiled 1 274 to 877 computations (31.2% saved)

simplify195.0ms (2.2%)

Memory
17.2MiB live, 173.3MiB allocated
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
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
cost-diff0
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
cost-diff0
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))))
cost-diff0
(*.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))
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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
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
(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
061479
087475
1161475
2436471
31629471
47775471
09168462
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 (-.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 (-.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)))
(*.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))
(-.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(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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/2520 binary64) (*.f64 y y))
#s(literal 1/2520 binary64)
(*.f64 y y)
y
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 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
(/.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) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (*.f64 (sin.f64 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 (-.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 (-.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)))
(*.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))
(-.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(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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
#s(approx (- (exp y) (exp (neg y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y #s(literal 2 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y)))
#s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64)))
(*.f64 #s(literal 1/2520 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/2520 binary64))
#s(literal 1/2520 binary64)
(*.f64 y y)
y
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 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

localize497.0ms (5.6%)

Memory
10.9MiB live, 481.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
accuracy0.00390625
(sinh.f64 y)
accuracy15.181843452383472
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y)))
accuracy0.0703125
(*.f64 #s(literal 1/2520 binary64) (*.f64 y y))
accuracy1.3272355144354409
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
accuracy15.181843452383472
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
accuracy30.220858490569757
#s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y)))
accuracy1.7058853562446326
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy1.9391781380284143
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
accuracy15.181843452383472
#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)))
accuracy27.689292818832662
(-.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))))
accuracy1.8877703989220938
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
accuracy1.9391781380284143
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
accuracy15.181843452383472
#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)))
accuracy27.689292818832662
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
accuracy0.09765625
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x))
accuracy0.10282003162065376
(sinh.f64 (*.f64 #s(literal 3 binary64) y))
accuracy1.9790050722552777
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))
accuracy8.190294636609652
(/.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
243.0ms127×5exit
85.0ms62×1valid
43.0ms35×2valid
28.0ms19×3valid
5.0ms13×0valid
Compiler

Compiled 261 to 48 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 316.0ms
ival-mult: 80.0ms (25.3% of total)
adjust: 58.0ms (18.4% of total)
ival-sinh: 53.0ms (16.8% of total)
ival-add: 45.0ms (14.2% of total)
ival-exp: 24.0ms (7.6% of total)
ival-cosh: 19.0ms (6% of total)
const: 14.0ms (4.4% of total)
ival-div: 7.0ms (2.2% of total)
ival-sub: 7.0ms (2.2% of total)
ival-sin: 6.0ms (1.9% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
4.1MiB live, 41.3MiB allocated
Counts
23 → 73
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 (-.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 (-.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)))
(*.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))
(-.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(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
(*.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)
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))
#s(approx (exp (neg 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(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/2520 binary64) (*.f64 y 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)))))))))
(* 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)
(* 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)))
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))))))))
(* 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
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* 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 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
1/60
(+ 1/60 (* 1/2520 (pow y 2)))
(* 1/2520 (pow y 2))
(- (exp (* 3 y)) (/ 1 (exp (* 3 y))))
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(exp y)
(* 1/2520 (pow y 7))
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6)))))))
(exp (neg y))
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))))
(exp (* -1 y))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
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) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (exp (neg y)) (exp (neg y)) (+ (* 1/2520 (* y y)) 1/60) (* 1/2520 (* y y)))
4.0ms
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) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (exp (neg y)) (exp (neg y)) (+ (* 1/2520 (* y y)) 1/60) (* 1/2520 (* y y)))
3.0ms
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) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (exp (neg y)) (exp (neg y)) (+ (* 1/2520 (* y y)) 1/60) (* 1/2520 (* y y)))
3.0ms
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) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (exp (neg y)) (exp (neg y)) (+ (* 1/2520 (* y y)) 1/60) (* 1/2520 (* y y)))
2.0ms
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) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (exp (neg y)) (exp (neg y)) (+ (* 1/2520 (* y y)) 1/60) (* 1/2520 (* y y)))

simplify155.0ms (1.7%)

Memory
9.0MiB live, 202.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03281454
112341248
246451113
083931034
Stop Event
iter limit
node limit
Counts
73 → 72
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)))))))))
(* 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)
(* 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)))
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))))))))
(* 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
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
(* 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 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
1/60
(+ 1/60 (* 1/2520 (pow y 2)))
(* 1/2520 (pow y 2))
(- (exp (* 3 y)) (/ 1 (exp (* 3 y))))
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(exp y)
(* 1/2520 (pow y 7))
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6)))))))
(exp (neg y))
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))))
(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))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64))))
(+ (* 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 (fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) (*.f64 x x))) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64))))
(+ (* 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 (-.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)))) (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 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(* x (- (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))) x)
(* x (- (+ (exp (* 3 y)) (* -1/6 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))) (/ 1 (exp (* 3 y)))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) 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 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) 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 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (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 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (*.f64 x x) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) 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 (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)))))
(* 2 (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))
(*.f64 (fma.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) x x) #s(literal 2 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))
(* (sin x) (- (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))) (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)) 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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* 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)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #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 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 19/1680 binary64) (*.f64 (*.f64 #s(literal -1/120 binary64) (/.f64 (sin.f64 x) x)) #s(literal 4/3 binary64))) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/120 binary64))) (*.f64 y y))) (*.f64 (/.f64 (sin.f64 x) x) y))
(* 6 (* y (sin x)))
(*.f64 (*.f64 #s(literal 6 binary64) (sin.f64 x)) y)
(* y (+ (* 6 (sin x)) (* 9 (* (pow y 2) (sin x)))))
(*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 6 binary64))) y)
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 81/20 (* (pow y 2) (sin x))) (* 9 (sin x))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 81/20 binary64) (*.f64 y y) #s(literal 9 binary64))) (*.f64 (*.f64 #s(literal 6 binary64) (sin.f64 x)) y))
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 9 (sin x)) (* (pow y 2) (+ (* 243/280 (* (pow y 2) (sin x))) (* 81/20 (sin x))))))))
(*.f64 (fma.f64 (sin.f64 x) (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 243/280 binary64) (*.f64 y y) #s(literal 81/20 binary64))))) y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* y (+ 6 (* 9 (pow y 2))))
(*.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)
(* 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)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(* 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 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.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 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) 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)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 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 (*.f64 y y) #s(literal 1/60 binary64) #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 (*.f64 y y) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
1
#s(literal 1 binary64)
(+ 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))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(+ (* 6 x) (* 8 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 8 binary64) #s(literal 6 binary64)))
(+ (* 6 x) (* (pow y 2) (+ (* 8/3 (* x (pow y 2))) (* 8 x))))
(fma.f64 (*.f64 x (fma.f64 #s(literal 8/3 binary64) (*.f64 y y) #s(literal 8 binary64))) (*.f64 y y) (*.f64 #s(literal 6 binary64) x))
(+ (* 6 x) (* (pow y 2) (+ (* 8 x) (* (pow y 2) (+ (* 16/45 (* x (pow y 2))) (* 8/3 x))))))
(fma.f64 x (fma.f64 (*.f64 y y) #s(literal 8 binary64) #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 16/45 binary64) #s(literal 8/3 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))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/2520 binary64))
(- (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)))
(* 1/2 (- (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))
(* 1/2 (- (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)
(* 1/2520 (pow y 7))
(*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 y y)) #s(literal 1/2520 binary64)) (pow.f64 y #s(literal 7 binary64)))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 y y)) #s(literal 1/2520 binary64))) (pow.f64 y #s(literal 7 binary64)))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 y y)) #s(literal 1/2520 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 7 binary64)))
(exp (neg y))
(exp.f64 (neg.f64 y))
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 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 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 7 binary64))) (-.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/60 binary64) (*.f64 y y))) #s(literal 1/2520 binary64)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 7 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal -1 binary64) #s(literal -1/3 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 y y)) #s(literal 1/2520 binary64))))
(exp (* -1 y))
(exp.f64 (neg.f64 y))

rewrite221.0ms (2.5%)

Memory
-40.7MiB live, 248.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061378
087368
1295368
22003368
08500361
Stop Event
iter limit
node limit
iter limit
Counts
23 → 248
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 (-.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 (-.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)))
(*.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))
(-.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(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
(*.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)
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))
#s(approx (exp (neg 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(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/2520 binary64) (*.f64 y 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 (exp.f64 (neg.f64 y)) #s(literal 6 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 (exp.f64 (neg.f64 y)) #s(literal 9 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 (exp.f64 (neg.f64 y)) #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.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)))
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(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #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)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #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)))
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))
#s(approx (exp (neg 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(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64)))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 y))) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2520 binary64) y)) y)
(*.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1/2520 binary64) y) y)
(*.f64 (*.f64 y y) #s(literal 1/2520 binary64))
(*.f64 #s(literal 1/2520 binary64) (*.f64 y y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/2520 binary64)))
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/2520 binary64))))
(*.f64 y (fabs.f64 (*.f64 #s(literal 1/2520 binary64) y)))
(*.f64 y (*.f64 #s(literal 1/2520 binary64) y))
(sqrt.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))))
(fabs.f64 (*.f64 (*.f64 y y) #s(literal 1/2520 binary64)))

eval38.0ms (0.4%)

Memory
10.4MiB live, 85.0MiB allocated
Compiler

Compiled 13 283 to 1 413 computations (89.4% saved)

prune23.0ms (0.3%)

Memory
1.8MiB live, 47.5MiB allocated
Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New2966302
Fresh31215
Picked325
Done055
Total30225327
Accuracy
100.0%
Counts
327 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.3%
(/.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)))
38.3%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
99.9%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
59.8%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
91.8%
(*.f64 #s(approx (/ (sinh y) 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) y)) (sin.f64 x))
59.7%
(*.f64 #s(approx (/ (sinh y) x) (*.f64 #s(approx (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) y)) (sin.f64 x))
79.3%
#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))
49.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
55.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
15.8%
#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)))
26.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)))
15.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
56.6%
#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))
36.2%
#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))
35.3%
#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))
27.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
59.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
60.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
59.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) y) y)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
59.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
52.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
47.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64)))
66.5%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
35.8%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y)))
35.3%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Compiler

Compiled 1 749 to 745 computations (57.4% saved)

regimes45.0ms (0.5%)

Memory
2.5MiB live, 79.9MiB allocated
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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(literal 1 binary64)) #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 (-.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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) 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) (*.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) 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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) y) y)) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) 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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #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 (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 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 (-.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 #s(approx (/ (sinh y) x) (*.f64 #s(approx (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) y)) (sin.f64 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 (*.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 (*.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 (/ (sinh y) 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) y)) (sin.f64 x))
(/.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)
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) y)) (sin.f64 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 (*.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:

12.0ms
x
11.0ms
y
10.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
10.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
99.9%1(sinh.f64 y)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes45.0ms (0.5%)

Memory
-10.2MiB live, 68.5MiB allocated
Counts
36 → 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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(literal 1 binary64)) #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 (-.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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) 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) (*.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) 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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) y) y)) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) 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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #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 (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 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 (-.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 #s(approx (/ (sinh y) x) (*.f64 #s(approx (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) y)) (sin.f64 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 (*.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 (*.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 (/ (sinh y) 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) y)) (sin.f64 x))
(/.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)
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) y)) (sin.f64 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))
#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

4 calls:

10.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
10.0ms
x
10.0ms
y
8.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
95.7%2x
91.8%1y
91.8%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
91.8%1(sinh.f64 y)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes37.0ms (0.4%)

Memory
4.5MiB live, 41.5MiB allocated
Counts
31 → 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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(literal 1 binary64)) #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 (-.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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) 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) (*.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) 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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) y) y)) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) 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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #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 (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 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 (-.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 #s(approx (/ (sinh y) x) (*.f64 #s(approx (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) y)) (sin.f64 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 (*.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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))
Calls

4 calls:

13.0ms
y
9.0ms
x
7.0ms
(sinh.f64 y)
7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
94.8%5y
89.3%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
89.3%3(sinh.f64 y)
91.2%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes41.0ms (0.5%)

Memory
10.0MiB live, 46.4MiB allocated
Counts
30 → 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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(literal 1 binary64)) #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 (-.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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) 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) (*.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) 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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) y) y)) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) 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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #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 (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 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 (-.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 #s(approx (/ (sinh y) x) (*.f64 #s(approx (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) y)) (sin.f64 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) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) 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)))
Calls

4 calls:

16.0ms
(sinh.f64 y)
8.0ms
y
8.0ms
x
7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
88.9%3(sinh.f64 y)
89.0%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
88.9%3y
78.8%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes32.0ms (0.4%)

Memory
15.5MiB live, 51.2MiB allocated
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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(literal 1 binary64)) #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 (-.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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) 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) (*.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) 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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) y) y)) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) 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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #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 (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 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 (-.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 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64)))
Calls

4 calls:

12.0ms
y
7.0ms
x
6.0ms
(sinh.f64 y)
6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
75.1%2x
69.6%3y
69.6%3(sinh.f64 y)
66.5%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes8.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
22 → 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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(literal 1 binary64)) #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 (-.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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) 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) (*.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) 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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) y) y)) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) 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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #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)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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:

6.0ms
x
Results
AccuracySegmentsBranch
73.4%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes37.0ms (0.4%)

Memory
-7.3MiB live, 41.8MiB allocated
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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(literal 1 binary64)) #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 (-.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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) 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) (*.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) 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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) y) y)) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) 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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #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))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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:

20.0ms
x
6.0ms
y
5.0ms
(sinh.f64 y)
5.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
60.0%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
63.2%3y
63.2%3(sinh.f64 y)
67.7%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes32.0ms (0.4%)

Memory
-25.5MiB live, 12.6MiB allocated
Counts
19 → 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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(literal 1 binary64)) #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 (-.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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) 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) (*.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) 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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) y) y)) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) 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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #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 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) 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) #s(literal 1 binary64)) #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:

31.0ms
x
Results
AccuracySegmentsBranch
67.7%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
15 → 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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(literal 1 binary64)) #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 (-.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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) 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) (*.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) 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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) y) y)) (*.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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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) #s(literal 1 binary64)) #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
67.4%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
13 → 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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(literal 1 binary64)) #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 (-.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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) 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) (*.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) 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 (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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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
64.6%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes44.0ms (0.5%)

Memory
-31.5MiB live, 46.3MiB allocated
Counts
11 → 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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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) #s(literal 1 binary64)) #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 (-.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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) 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)))
Outputs
#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) #s(literal 1 binary64)) #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:

31.0ms
x
4.0ms
y
3.0ms
(sinh.f64 y)
3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
52.4%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
55.5%3(sinh.f64 y)
55.5%3y
60.7%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes3.0ms (0%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
7 → 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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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 #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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 #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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) 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:

3.0ms
x
Results
AccuracySegmentsBranch
60.0%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated
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) #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)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) 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:

2.0ms
x
2.0ms
y
2.0ms
(sinh.f64 y)
2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
35.3%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
38.7%3(sinh.f64 y)
38.7%3y
39.2%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes2.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
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) #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)) (-.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:

2.0ms
x
Results
AccuracySegmentsBranch
37.1%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
-38.6MiB live, 5.8MiB allocated
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) #s(literal 1 binary64)) #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) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
37.1%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
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
27.1%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
27.1%1y
27.1%1(sinh.f64 y)
27.1%1x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
3.344841597387359e-27
1.1635428923651075e-25
Samples
1.0ms16×0valid
Compiler

Compiled 46 to 38 computations (17.4% saved)

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

bsearch10.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
3.344841597387359e-27
1.1635428923651075e-25
Samples
5.0ms96×0valid
Compiler

Compiled 332 to 263 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (39.7% of total)
ival-mult: 1.0ms (39.7% of total)
ival-sin: 1.0ms (39.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
-37.4MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.740873472603879e-13
+inf
0.0ms
-3.9545615286913356e-7
-4.465879227373952e-10
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch17.0ms (0.2%)

Memory
29.4MiB live, 29.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
162274156.99326846
307927638874.2181
Samples
10.0ms128×0valid
Compiler

Compiled 442 to 339 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 5.0ms (65.6% of total)
ival-div: 1.0ms (13.1% of total)
ival-mult: 1.0ms (13.1% of total)
ival-sinh: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory
-9.5MiB live, 26.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
39.0ms
1.422754807917546e+96
7.433223364860539e+97
Samples
34.0ms112×0valid
Compiler

Compiled 269 to 214 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sin: 30.0ms (94.6% of total)
ival-div: 1.0ms (3.2% of total)
ival-mult: 1.0ms (3.2% of total)
ival-sinh: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
1.422754807917546e+96
7.433223364860539e+97
Samples
4.0ms48×0valid
Compiler

Compiled 458 to 333 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sin: 2.0ms (72.6% of total)
ival-div: 0.0ms (0% of total)
ival-true: 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)

bsearch2.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.422754807917546e+96
7.433223364860539e+97
Compiler

Compiled 444 to 326 computations (26.6% saved)

bsearch2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.422754807917546e+96
7.433223364860539e+97
Compiler

Compiled 493 to 354 computations (28.2% saved)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.422754807917546e+96
7.433223364860539e+97
Compiler

Compiled 479 to 333 computations (30.5% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.422754807917546e+96
7.433223364860539e+97
Compiler

Compiled 374 to 291 computations (22.2% saved)

bsearch38.0ms (0.4%)

Memory
-32.9MiB live, 48.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.9884141833191544e+228
1.1074402749590936e+232
16.0ms
2.2876174558561058e+107
8.555382990487115e+108
Samples
26.0ms240×0valid
Compiler

Compiled 842 to 618 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 9.0ms (49.1% of total)
ival-mult: 6.0ms (32.7% of total)
ival-div: 2.0ms (10.9% of total)
ival-sinh: 1.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.9884141833191544e+228
1.1074402749590936e+232
Compiler

Compiled 450 to 331 computations (26.4% saved)

bsearch20.0ms (0.2%)

Memory
4.1MiB live, 42.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
7.58976870077648e+31
1.947517892435431e+39
Samples
13.0ms144×0valid
Compiler

Compiled 370 to 290 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 5.0ms (49.8% of total)
ival-div: 3.0ms (29.9% of total)
ival-mult: 1.0ms (10% of total)
ival-sinh: 1.0ms (10% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
4.3MiB live, 4.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
7.58976870077648e+31
1.947517892435431e+39
Compiler

Compiled 352 to 281 computations (20.2% saved)

simplify56.0ms (0.6%)

Memory
15.9MiB live, 54.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0177843
1284843
2727839
33164839
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(if (<=.f64 x #s(literal 1742245718635205/348449143727040986586495598010130648530944 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 2504478220538107/21778071482940061661655974875633165533184 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 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) 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)))))
(if (<=.f64 x #s(literal 9000000000 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 24000000000000000248110900293719159498352934459351750503809715953760220967146811376402658358198272 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) 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) #s(literal 1 binary64)) #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 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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) #s(literal 1 binary64)) #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 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 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)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #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) #s(literal 1 binary64)) #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 8000000000000000271991933704022596759551797757703184381707445718703002173785606666341932931045867567370469376 binary64)) #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))) (if (<=.f64 x #s(literal 144999999999999996123445272439924789182797871632419536438834522678857929812522034369501799189999591000622630303311486617597612549920655300793795302930873618927812263013630817980397966634394653605231279019524678256296658959496904704 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) 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 144999999999999996123445272439924789182797871632419536438834522678857929812522034369501799189999591000622630303311486617597612549920655300793795302930873618927812263013630817980397966634394653605231279019524678256296658959496904704 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) 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 9000000000000000086637831186808832 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))))
(if (<=.f64 x #s(literal 9000000000000000086637831186808832 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) #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 #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 1742245718635205/348449143727040986586495598010130648530944 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 2504478220538107/21778071482940061661655974875633165533184 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 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) 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)))))
(if (<=.f64 x #s(literal 9000000000 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 24000000000000000248110900293719159498352934459351750503809715953760220967146811376402658358198272 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) 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) #s(literal 1 binary64)) #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 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.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) #s(literal 1 binary64)) #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 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 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)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #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) #s(literal 1 binary64)) #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 8000000000000000271991933704022596759551797757703184381707445718703002173785606666341932931045867567370469376 binary64)) #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))) (if (<=.f64 x #s(literal 144999999999999996123445272439924789182797871632419536438834522678857929812522034369501799189999591000622630303311486617597612549920655300793795302930873618927812263013630817980397966634394653605231279019524678256296658959496904704 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) 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 144999999999999996123445272439924789182797871632419536438834522678857929812522034369501799189999591000622630303311486617597612549920655300793795302930873618927812263013630817980397966634394653605231279019524678256296658959496904704 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) 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 9000000000000000086637831186808832 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))))
(if (<=.f64 x #s(literal 9000000000000000086637831186808832 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) #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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))

soundness2.0s (22.8%)

Memory
-245.2MiB live, 1 058.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113506
1434438
21692406
35247404
08163370
053349
083343
1290343
21962343
09444343
02601059
19351012
23320964
08234899
042205
071185
1218181
21469181
08111181
0616
01016
12216
27516
343616
4569516
0818416
03281454
112341248
246451113
083931034
04372413
116802095
269802023
080841841
061378
087368
1295368
22003368
08500361
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node 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
iter limit
node limit
Compiler

Compiled 1 521 to 798 computations (47.5% saved)

preprocess152.0ms (1.7%)

Memory
13.3MiB live, 130.3MiB allocated
Remove

(abs x)

Compiler

Compiled 1 728 to 406 computations (76.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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