Linear.Quaternion:$ccosh from linear-1.19.1.3

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.2%)

Memory
3.1MiB live, 3.1MiB 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)

sample680.0ms (13.2%)

Memory
0.6MiB live, 210.1MiB allocated
Samples
472.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 320.0ms
ival-sin: 173.0ms (54.1% of total)
ival-div: 52.0ms (16.3% of total)
ival-mult: 50.0ms (15.6% of total)
ival-sinh: 36.0ms (11.3% of total)
ival-true: 5.0ms (1.6% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain64.0ms (1.2%)

Memory
1.3MiB live, 34.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
290-5(8.471691268533026e-21 7.71693501430413e-296)(/.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/n240
(*.f64 (sin.f64 x) (sinh.f64 y))underflow24
Confusion
Predicted +Predicted -
+245
-0227
Precision
1.0
Recall
0.8275862068965517
Confusion?
Predicted +Predicted MaybePredicted -
+2405
-00227
Precision?
1.0
Recall?
0.8275862068965517
Freqs
test
numberfreq
0232
124
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
18.072509765625
Average Time
0.07059574127197266
Samples
32.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 10.0ms (49.5% of total)
ival-div: 3.0ms (14.8% of total)
ival-mult: 3.0ms (14.8% of total)
ival-sinh: 3.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess276.0ms (5.4%)

Memory
-0.0MiB live, 15.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
16041
219237
370837
4223137
5529237
6733437
067
0107
1197
2397
3787
41637
53437
68677
717697
830257
940487
1045407
1146177
1246177
1346177
1450377
1552217
1652217
1752217
1852217
1952597
2053457
2153457
2253457
053457
Stop Event
iter limit
saturated
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)

(negabs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.6%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify234.0ms (4.6%)

Memory
1.2MiB live, 9.4MiB 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
23918
37818
416318
534318
686718
7176918
8302518
9404818
10454018
11461718
12461718
13461718
14503718
15522118
16522118
17522118
18522118
19525918
20534518
21534518
22534518
0534518
Stop Event
iter limit
saturated
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

localize21.0ms (0.4%)

Memory
-0.1MiB live, 7.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sinh.f64 y)
accuracy0
(sin.f64 x)
accuracy0.0703125
(*.f64 (sin.f64 x) (sinh.f64 y))
accuracy6.016381403714323
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Samples
16.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 6.0ms (58.1% of total)
ival-div: 1.0ms (9.7% of total)
ival-mult: 1.0ms (9.7% of total)
ival-sinh: 1.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
3.9MiB live, 3.9MiB 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))
1.0ms
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))

simplify238.0ms (4.6%)

Memory
-104.5MiB live, 44.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113506
1373451
21226411
33032390
08138354
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))))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (*.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)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #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 (* 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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) x)
(* 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))))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #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 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(* 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) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(*.f64 (*.f64 (/.f64 (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))) 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 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (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))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (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)

rewrite108.0ms (2.1%)

Memory
-1.3MiB live, 41.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
12716
211716
384016
0825716
Stop Event
iter limit
node limit
iter limit
Counts
4 → 495
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 #s(literal -2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x)
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (/.f64 x (sin.f64 x)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (sin.f64 x))) (neg.f64 (sinh.f64 y)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))))) (-.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (exp.f64 y)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 y) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(/.f64 (sinh.f64 y) #s(literal 1 binary64))
(sinh.f64 y)
(neg.f64 (*.f64 (neg.f64 (sinh.f64 y)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (sinh.f64 y)))
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))))
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(-.f64 (/.f64 (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))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (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))) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (exp.f64 y)) (cosh.f64 y) (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (exp.f64 y)) (cosh.f64 y) (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(+.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))

eval49.0ms (0.9%)

Memory
5.6MiB live, 42.5MiB allocated
Compiler

Compiled 8 820 to 1 558 computations (82.3% saved)

prune10.0ms (0.2%)

Memory
-4.0MiB live, 21.3MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5128520
Fresh000
Picked101
Done000
Total5138521
Accuracy
100.0%
Counts
521 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
80.9%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
43.4%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
99.9%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
66.0%
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x)
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
53.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
88.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y))
Compiler

Compiled 238 to 174 computations (26.9% saved)

simplify89.0ms (1.7%)

Memory
0.7MiB live, 21.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 y)
cost-diff0
(*.f64 (sinh.f64 y) (sin.f64 x))
cost-diff0
(neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))
cost-diff1024
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x)
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) x)
cost-diff0
(*.f64 (/.f64 (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)))
cost-diff0
(*.f64 (*.f64 (/.f64 (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))) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) 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: 2 (0.0ms)

IterNodesCost
035223
058217
1112217
2331215
31326215
44798215
57831215
08068215
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) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 (*.f64 (/.f64 (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))) y)
(*.f64 (/.f64 (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)))
(/.f64 (sin.f64 x) 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 (*.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 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x)
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x)))
(neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
y
(sin.f64 x)
x
(neg.f64 (*.f64 x x))
(*.f64 x x)
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) 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 (/.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)))
(*.f64 (*.f64 (/.f64 (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))) y)
(*.f64 (*.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))
(*.f64 (/.f64 (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)))
(*.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) 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 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) x) (sin.f64 x))
(neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (sinh.f64 y) (sin.f64 x))
(*.f64 (sin.f64 x) (sinh.f64 y))
(sinh.f64 y)
y
(sin.f64 x)
x
(neg.f64 (*.f64 x x))
(*.f64 (neg.f64 x) x)
(*.f64 x x)

localize127.0ms (2.5%)

Memory
-0.6MiB live, 42.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (*.f64 x x))
accuracy0.0703125
(*.f64 (sinh.f64 y) (sin.f64 x))
accuracy5.386608247712028
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x)
accuracy15.243280896201036
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x)))
accuracy0
(exp.f64 (neg.f64 y))
accuracy0
(exp.f64 y)
accuracy22.780198268091524
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy30.239806761110565
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
accuracy0.078125
(*.f64 (*.f64 (/.f64 (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))) y)
accuracy0.12109375
(/.f64 (sin.f64 x) x)
accuracy1.6683200260315334
(*.f64 (/.f64 (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)))
accuracy8.050902379340913
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y))
accuracy0
(sin.f64 x)
accuracy0.0859375
(*.f64 (/.f64 (sin.f64 x) x) y)
accuracy0.12109375
(/.f64 (sin.f64 x) x)
accuracy30.164518374792017
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
accuracy0
(sinh.f64 y)
accuracy0
(sin.f64 x)
accuracy0.00390625
(/.f64 (sinh.f64 y) x)
accuracy0.08203125
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
Samples
42.0ms85×1valid
30.0ms42×2valid
30.0ms129×0valid
Compiler

Compiled 420 to 69 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-exp: 21.0ms (26.4% of total)
ival-mult: 18.0ms (22.7% of total)
adjust: 12.0ms (15.1% of total)
const: 7.0ms (8.8% of total)
ival-div: 6.0ms (7.6% of total)
ival-sin: 6.0ms (7.6% of total)
ival-add: 4.0ms (5% of total)
ival-neg: 3.0ms (3.8% of total)
ival-sub: 2.0ms (2.5% of total)
ival-sinh: 2.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.6%)

Memory
-1.2MiB live, 13.2MiB allocated
Counts
20 → 94
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) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 (*.f64 (/.f64 (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))) y)
(*.f64 (/.f64 (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)))
#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 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x)
(neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (sinh.f64 y) (sin.f64 x))
(exp.f64 (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x)))
(neg.f64 (*.f64 x x))
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))))))
(* -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 (- (* (pow x 2) (- (* -1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (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))))))))))
(/ (+ (* -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)
(* -1 (pow x 2))
(* 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)
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 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 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))
(* 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 (* y (sin x)))
(* y (- (* -1/6 (* (pow y 2) (sin x))) (sin x)))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))) (sin x)))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))) (* 1/6 (sin x)))) (sin 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))))))))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(/ (* y (sin x)) (pow x 2))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) (pow x 2))) (/ (sin x) (pow x 2))))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) (pow x 2))) (* 1/6 (/ (sin x) (pow x 2))))) (/ (sin x) (pow x 2))))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) (pow x 2))) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) (pow x 2))) (* 1/120 (/ (sin x) (pow x 2))))))) (/ (sin x) (pow x 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))))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(exp y)
(exp (neg y))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(exp (* -1 y))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
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) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) 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) (* (/ (neg (* (sinh y) (sin x))) (neg (* x x))) x) (neg (* (sinh y) (sin x))) (* (sinh y) (sin x)) (exp (neg y)) (/ (neg (* (sinh y) (sin x))) (neg (* x x))) (neg (* x x)))
5.0ms
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) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) 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) (* (/ (neg (* (sinh y) (sin x))) (neg (* x x))) x) (neg (* (sinh y) (sin x))) (* (sinh y) (sin x)) (exp (neg y)) (/ (neg (* (sinh y) (sin x))) (neg (* x x))) (neg (* x x)))
4.0ms
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) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) 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) (* (/ (neg (* (sinh y) (sin x))) (neg (* x x))) x) (neg (* (sinh y) (sin x))) (* (sinh y) (sin x)) (exp (neg y)) (/ (neg (* (sinh y) (sin x))) (neg (* x x))) (neg (* x x)))
4.0ms
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) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) 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) (* (/ (neg (* (sinh y) (sin x))) (neg (* x x))) x) (neg (* (sinh y) (sin x))) (* (sinh y) (sin x)) (exp (neg y)) (/ (neg (* (sinh y) (sin x))) (neg (* x x))) (neg (* x x)))
3.0ms
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) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) 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) (* (/ (neg (* (sinh y) (sin x))) (neg (* x x))) x) (neg (* (sinh y) (sin x))) (* (sinh y) (sin x)) (exp (neg y)) (/ (neg (* (sinh y) (sin x))) (neg (* x x))) (neg (* x x)))

simplify160.0ms (3.1%)

Memory
10.2MiB live, 53.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03301850
110921654
238271490
084541357
Stop Event
iter limit
node limit
Counts
94 → 92
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))))))
(* -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 (- (* (pow x 2) (- (* -1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (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))))))))))
(/ (+ (* -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)
(* -1 (pow x 2))
(* 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)
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 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 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))
(* 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 (* y (sin x)))
(* y (- (* -1/6 (* (pow y 2) (sin x))) (sin x)))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))) (sin x)))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))) (* 1/6 (sin x)))) (sin 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))))))))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(/ (* y (sin x)) (pow x 2))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) (pow x 2))) (/ (sin x) (pow x 2))))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) (pow x 2))) (* 1/6 (/ (sin x) (pow x 2))))) (/ (sin x) (pow x 2))))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) (pow x 2))) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) (pow x 2))) (* 1/120 (/ (sin x) (pow x 2))))))) (/ (sin x) (pow x 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))))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(exp y)
(exp (neg y))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) #s(literal 1/2 binary64))
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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 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)))))))))))
(*.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) (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(+ (* 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))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(* -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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x)
(* x (- (* (pow x 2) (- (* -1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.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))) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/10080 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 x x))) (*.f64 x x))) x)
(* 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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.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 (*.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 (-.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))))) x)
(/ (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) x)
(/.f64 (*.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))) 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)
(/.f64 (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))) 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)
(/.f64 (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))))) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(sin x)
(sin.f64 x)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (sin.f64 x)) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 2)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.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 (*.f64 y y) #s(literal 1/6 binary64) #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 x)
(/.f64 y x)
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (/.f64 y x))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 y x))
(* 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)) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 y x))
(* 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 (* (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)
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x))
(* 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 (* y (sin x)))
(*.f64 (neg.f64 y) (sin.f64 x))
(* y (- (* -1/6 (* (pow y 2) (sin x))) (sin x)))
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) y)
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))) (sin x)))
(*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y)) (sin.f64 x)) y)
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))) (* 1/6 (sin x)))) (sin x)))
(*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) (*.f64 y y)) (sin.f64 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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (sin.f64 x))
(* 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 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (fma.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 (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))
(/ (* y (sin x)) (pow x 2))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) y)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) (pow x 2))) (/ (sin x) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 x) x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) (pow x 2))) (* 1/6 (/ (sin x) (pow x 2))))) (/ (sin x) (pow x 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) y))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) (pow x 2))) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) (pow x 2))) (* 1/120 (/ (sin x) (pow x 2))))))) (/ (sin x) (pow x 2))))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 x) x) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) y)
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (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) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (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 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))))
(* (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) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) 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 (neg y))
(exp.f64 (neg.f64 y))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 5 binary64)))
(* -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 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 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)))
(exp (* -1 y))
(exp.f64 (neg.f64 y))

rewrite149.0ms (2.9%)

Memory
-12.0MiB live, 57.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035173
058157
1178151
21182149
08607147
Stop Event
iter limit
node limit
iter limit
Counts
20 → 989
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) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 (*.f64 (/.f64 (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))) y)
(*.f64 (/.f64 (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)))
#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 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x)
(neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (sinh.f64 y) (sin.f64 x))
(exp.f64 (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x)))
(neg.f64 (*.f64 x x))
Outputs
(*.f64 (*.f64 (*.f64 (*.f64 x (sinh.f64 y)) (neg.f64 (sin.f64 x))) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 x (*.f64 (sinh.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 x (/.f64 (neg.f64 (sinh.f64 y)) x)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (*.f64 x (/.f64 (sinh.f64 y) x)) (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 x (neg.f64 (sinh.f64 y))) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 x (sinh.f64 y)) (*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (sinh.f64 y))) (neg.f64 (sin.f64 x)))
(*.f64 (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) (*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sinh.f64 y))) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 x (/.f64 (neg.f64 x) (sinh.f64 y))) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 x (*.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(*.f64 (/.f64 x (/.f64 x (sinh.f64 y))) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (/.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) x))
(*.f64 (*.f64 (sinh.f64 y) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 (sin.f64 x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 x (sinh.f64 y)) (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 x (sinh.f64 y)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (/.f64 (/.f64 (neg.f64 x) (sinh.f64 y)) (sin.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)))
(*.f64 (*.f64 (sinh.f64 y) (pow.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) x))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (/.f64 x (/.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (/.f64 (*.f64 (sin.f64 x) x) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) x) x))
(*.f64 (*.f64 (sinh.f64 y) #s(literal -1 binary64)) (/.f64 x (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x)))))
(*.f64 (*.f64 (sinh.f64 y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) x) (*.f64 x x)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (/.f64 x (*.f64 x x)) (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 x (sinh.f64 y)) (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))) (*.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 x (sinh.f64 y)) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 x #s(literal -2 binary64))) x)
(*.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (*.f64 x (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) x))
(*.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 x (*.f64 x x)))
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) x) (neg.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (*.f64 (sin.f64 x) x) x))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 x (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (sinh.f64 y) (/.f64 x (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (sinh.f64 y) (/.f64 (*.f64 (sin.f64 x) x) (*.f64 x x)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))) (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x (sinh.f64 y)) (sin.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y)))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (*.f64 x (sinh.f64 y)) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x (sinh.f64 y)) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) (sinh.f64 y)) (sin.f64 x)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (/.f64 x (sinh.f64 y))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x (sinh.f64 y)) (sin.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sin.f64 x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 x (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sin.f64 x))))
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (sinh.f64 y)) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (sinh.f64 y)) x)))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64))
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(*.f64 (*.f64 (sinh.f64 y) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (*.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (sinh.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (/.f64 (neg.f64 x) (sinh.f64 y)) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))
(*.f64 (*.f64 (sinh.f64 y) (pow.f64 x #s(literal -2 binary64))) (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (sinh.f64 y) (pow.f64 x #s(literal -2 binary64))) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (sinh.f64 y) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64))) (sinh.f64 y))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (*.f64 (sinh.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sinh.f64 y)) x))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))
(*.f64 (neg.f64 (sinh.f64 y)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sinh.f64 y) x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sin.f64 x) x))
(*.f64 (sinh.f64 y) (pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))))) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (sin.f64 x) (sinh.f64 y)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (/.f64 x (sinh.f64 y)))) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (/.f64 x (sinh.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (/.f64 x (sinh.f64 y))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) x)
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 x (sin.f64 x)))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 0 binary64) (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) (sinh.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (sinh.f64 y)) (/.f64 x (sin.f64 x)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 x #s(literal -1 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) x)
(*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 x (neg.f64 x))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))

eval104.0ms (2%)

Memory
10.0MiB live, 88.9MiB allocated
Compiler

Compiled 26 478 to 3 782 computations (85.7% saved)

prune37.0ms (0.7%)

Memory
-1.4MiB live, 43.9MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1 028141 042
Fresh123
Picked415
Done000
Total1 033171 050
Accuracy
100.0%
Counts
1 050 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
43.4%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
45.9%
(*.f64 (/.f64 (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))) (neg.f64 (*.f64 x x))) x)
63.7%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
53.4%
#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)))
15.6%
#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)))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
34.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
34.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
32.8%
#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))
26.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
59.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
50.4%
#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)))
55.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))
80.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
64.4%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Compiler

Compiled 754 to 508 computations (32.6% saved)

simplify141.0ms (2.7%)

Memory
1.0MiB live, 15.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) y)
cost-diff0
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
cost-diff0
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
cost-diff0
(sinh.f64 y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
cost-diff0
#s(approx (/ (sin x) x) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
cost-diff0
(sinh.f64 y)
cost-diff0
(/.f64 x (sinh.f64 y))
cost-diff0
(sin.f64 x)
cost-diff384
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027177
040177
163177
298177
3190177
4330177
5546177
61128177
72104177
83632177
94820177
105623177
115969177
126283177
136557177
147393177
08072177
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(sin.f64 x)
x
(/.f64 x (sinh.f64 y))
(sinh.f64 y)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(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(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
(sinh.f64 y)
y
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) y)
(sin.f64 x)
x
y
Outputs
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(sin.f64 x)
x
(/.f64 x (sinh.f64 y))
(sinh.f64 y)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 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 (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(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(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
(sinh.f64 y)
y
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x))) x)
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
#s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))
(*.f64 (sin.f64 x) y)
(*.f64 y (sin.f64 x))
(sin.f64 x)
x
y

localize82.0ms (1.6%)

Memory
-3.5MiB live, 28.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0.0703125
(*.f64 (sin.f64 x) y)
accuracy0.26817227845345915
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
accuracy6.016381403714323
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
accuracy0
(sinh.f64 y)
accuracy16.780264325558075
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
accuracy0.03515625
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.046875
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
accuracy0.2689679047600461
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
accuracy17.47830407013244
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.046875
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
accuracy0.2689679047600461
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
accuracy17.33606214059235
#s(approx (/ (sin x) x) #s(literal 1 binary64))
accuracy0
(/.f64 x (sinh.f64 y))
accuracy0
(sinh.f64 y)
accuracy0
(sin.f64 x)
accuracy0.35545609364587083
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
Samples
43.0ms124×2exit
22.0ms131×0valid
2.0ms5exit
Compiler

Compiled 290 to 48 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 10.0ms (25.1% of total)
const: 7.0ms (17.5% of total)
adjust: 6.0ms (15% of total)
ival-sin: 6.0ms (15% of total)
ival-div: 5.0ms (12.5% of total)
ival-add: 3.0ms (7.5% of total)
ival-sinh: 1.0ms (2.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
0.6MiB live, 8.3MiB allocated
Counts
16 → 51
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(sin.f64 x)
(/.f64 x (sinh.f64 y))
(sinh.f64 y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) y)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
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)))))))))
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))))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(* 1/2 (* 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 y)
(* x (+ y (* -1/6 (* (pow x 2) y))))
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))))
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(sin x)
(/ (* y (sin x)) x)
(/ (sin x) x)
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (sin x))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 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)))
(/ x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y)
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 1/120 x))) (+ (* -1/720 x) (* 1/5040 x))))) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 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))))))))
(* 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))))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((/ (sin x) (/ x (sinh y))) (sin x) (/ x (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (+ (* 1/120 (* x x)) -1/6))
3.0ms
x
@-inf
((/ (sin x) (/ x (sinh y))) (sin x) (/ x (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (+ (* 1/120 (* x x)) -1/6))
2.0ms
x
@inf
((/ (sin x) (/ x (sinh y))) (sin x) (/ x (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (+ (* 1/120 (* x x)) -1/6))
2.0ms
y
@inf
((/ (sin x) (/ x (sinh y))) (sin x) (/ x (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (+ (* 1/120 (* x x)) -1/6))
2.0ms
x
@0
((/ (sin x) (/ x (sinh y))) (sin x) (/ x (sinh y)) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (+ (* 1/120 (* x x)) -1/6))

simplify133.0ms (2.6%)

Memory
9.0MiB live, 37.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177796
1572730
21929682
34877652
47859652
08363591
Stop Event
iter limit
node limit
Counts
51 → 49
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)))))))))
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))))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(* 1/2 (* 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 y)
(* x (+ y (* -1/6 (* (pow x 2) y))))
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))))
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(sin x)
(/ (* y (sin x)) x)
(/ (sin x) x)
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (sin x))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 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)))
(/ x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y)
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 1/120 x))) (+ (* -1/720 x) (* 1/5040 x))))) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 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))))))))
(* 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))))))))
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))))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (*.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)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
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)))))
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) x)
(* 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))))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(* x y)
(*.f64 y x)
(* x (+ y (* -1/6 (* (pow x 2) y))))
(*.f64 y (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))))
(*.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)) (-.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)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* y (sin x))
(*.f64 (sin.f64 x) y)
(* 1/120 (pow x 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(* (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 (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(*.f64 (*.f64 (/.f64 (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))) y)
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (sin.f64 x)))) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y)
(/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 1/120 x))) (+ (* -1/720 x) (* 1/5040 x))))) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x #s(literal -31/15120 binary64)) y) y (*.f64 #s(literal 7/360 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) 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)
(* 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))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) y))

rewrite148.0ms (2.9%)

Memory
-10.1MiB live, 44.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027158
040158
1119158
2609158
35617158
08083158
Stop Event
iter limit
node limit
iter limit
Counts
16 → 431
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(sin.f64 x)
(/.f64 x (sinh.f64 y))
(sinh.f64 y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) y)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) (neg.f64 (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) #s(literal -1 binary64)) (sinh.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) x)) (neg.f64 (sinh.f64 y)))
(*.f64 (pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (/.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) x))
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)))
(*.f64 (/.f64 (sinh.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 (sinh.f64 y)) x))
(*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (sinh.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) x) (neg.f64 (sin.f64 x)))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (pow.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sinh.f64 y) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (sinh.f64 y)) x))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (*.f64 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (sinh.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (pow.f64 (sinh.f64 y) #s(literal -1 binary64)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (/.f64 x (sin.f64 x)) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 2 binary64))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 #s(literal -1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (*.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (sin.f64 x))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (sinh.f64 y)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (sinh.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) x) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 x) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)))
(/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (sinh.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x)
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))))
(neg.f64 (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sinh.f64 y))) (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
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(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/120 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1/14400 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (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))
(fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 #s(literal 1/120 binary64) x) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))

eval57.0ms (1.1%)

Memory
4.2MiB live, 47.1MiB allocated
Compiler

Compiled 13 332 to 1 982 computations (85.1% saved)

prune18.0ms (0.4%)

Memory
0.3MiB live, 26.4MiB allocated
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New5315536
Fresh11011
Picked235
Done011
Total53419553
Accuracy
100.0%
Counts
553 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.5%
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
43.4%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
23.5%
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
45.9%
(*.f64 (/.f64 (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))) (neg.f64 (*.f64 x x))) x)
63.7%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
53.4%
#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)))
15.6%
#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)))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
34.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
34.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
34.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
32.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
26.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
59.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
50.4%
#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)))
55.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))
80.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
64.4%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Compiler

Compiled 838 to 560 computations (33.2% saved)

simplify119.0ms (2.3%)

Memory
1.7MiB live, 26.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 y)
cost-diff0
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
cost-diff0
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
cost-diff0
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
cost-diff0
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
cost-diff0
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
cost-diff0
#s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
cost-diff0
(*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056529
084529
1152529
2267529
3610529
41567526
52480526
64060526
75913526
87589526
08011513
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
(*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
#s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
(exp.f64 y)
y
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))) y))
(*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))) y)
#s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
#s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y)
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
#s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) (exp.f64 y))))
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) (exp.f64 y)))
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
(exp.f64 y)
y
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

localize162.0ms (3.2%)

Memory
-5.7MiB live, 57.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 y)
accuracy22.780198268091524
#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)))
accuracy30.239806761110565
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
accuracy30.815073017243876
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
accuracy0.0859375
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
accuracy0.279567555606981
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
accuracy30.164518374792017
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
accuracy30.65925407346678
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.28620657129220434
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
accuracy30.164518374792017
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
accuracy30.6932353277507
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
accuracy32.35675540785349
#s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
accuracy0.0859375
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
accuracy30.164518374792017
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
accuracy30.6932353277507
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy31.487748746995642
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
accuracy0.12109375
(/.f64 (sin.f64 x) x)
accuracy3.7537377951897284
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
accuracy8.050902379340913
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
accuracy19.438094670843792
#s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
Samples
53.0ms85×1valid
39.0ms42×2valid
38.0ms129×0valid
Compiler

Compiled 798 to 103 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 30.0ms (29.6% of total)
ival-exp: 19.0ms (18.7% of total)
const: 15.0ms (14.8% of total)
adjust: 11.0ms (10.9% of total)
ival-add: 11.0ms (10.9% of total)
ival-sin: 6.0ms (5.9% of total)
ival-div: 3.0ms (3% of total)
ival-sub: 3.0ms (3% of total)
ival-sinh: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.5%)

Memory
4.9MiB live, 12.7MiB allocated
Counts
26 → 79
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
(*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
#s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
(exp.f64 y)
(/.f64 (sin.f64 x) x)
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(approx (exp (neg y)) (-.f64 #s(literal 1 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)))))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))
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
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x)
(/ (* y (sin x)) x)
(/ (sin x) x)
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(* y (+ 1 (* 1/6 (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 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* 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))))))
(* 1/6 (/ (* (pow y 2) (sin x)) x))
(* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(exp y)
(exp (neg y))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(exp (* -1 y))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) x) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) (+ (* -1/5040 (* x x)) 1/120) (exp (neg y)))
4.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) x) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) (+ (* -1/5040 (* x x)) 1/120) (exp (neg y)))
2.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) x) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) (+ (* -1/5040 (* x x)) 1/120) (exp (neg y)))
2.0ms
y
@-inf
((/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) x) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) (+ (* -1/5040 (* x x)) 1/120) (exp (neg y)))
2.0ms
y
@0
((/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) x) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) (+ (* -1/5040 (* x x)) 1/120) (exp (neg y)))

simplify173.0ms (3.4%)

Memory
-0.1MiB live, 50.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02671377
18551244
230491127
080161024
Stop Event
iter limit
node limit
Counts
79 → 78
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)))))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))
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
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x)
(/ (* y (sin x)) x)
(/ (sin x) x)
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(* y (+ 1 (* 1/6 (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 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* 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))))))
(* 1/6 (/ (* (pow y 2) (sin x)) x))
(* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(* 1/2 (- (exp y) (exp (neg y))))
(- (exp y) (exp (neg y)))
(exp y)
(exp (neg y))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(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 (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))))
(* 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 (*.f64 x x) #s(literal -1/6 binary64) #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)))))))))))
(*.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) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(+ (* 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 (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))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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)))
(+ 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))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
y
(+ y (* -1/6 (* (pow x 2) y)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x 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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(*.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) (/.f64 (sin.f64 x) x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x)
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x))
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64))))
(* -1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 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)
(* -1/5040 (pow x 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) x) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 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 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) y)
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x))
(* 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 (* (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 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (fma.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 (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))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (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) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(*.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) 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 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))))
(* (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) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/6 (/ (* (pow y 2) (sin x)) x))
(*.f64 (/.f64 (*.f64 (*.f64 y (sin.f64 x)) y) x) #s(literal 1/6 binary64))
(* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) y) (*.f64 y x))) (*.f64 y y))
(* 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 (neg y))
(exp.f64 (neg.f64 y))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 5 binary64)))
(* -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 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 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)))
(exp (* -1 y))
(exp.f64 (neg.f64 y))

rewrite142.0ms (2.8%)

Memory
3.8MiB live, 55.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056474
084474
1291474
22017474
08446458
Stop Event
iter limit
node limit
iter limit
Counts
26 → 349
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
(*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
#s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))
(exp.f64 y)
(/.f64 (sin.f64 x) x)
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
(*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(*.f64 y #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))))
#s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1 binary64)) x) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (-.f64 #s(literal 1/14400 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))) (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 x (*.f64 #s(literal -1/5040 binary64) x) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))))
(+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))

eval49.0ms (0.9%)

Memory
-0.9MiB live, 39.7MiB allocated
Compiler

Compiled 19 580 to 2 216 computations (88.7% saved)

prune18.0ms (0.4%)

Memory
1.1MiB live, 24.0MiB allocated
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New4145419
Fresh1910
Picked325
Done044
Total41820438
Accuracy
100.0%
Counts
438 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.5%
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
43.4%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
23.5%
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
45.9%
(*.f64 (/.f64 (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))) (neg.f64 (*.f64 x x))) x)
63.7%
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
15.6%
#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)))
15.6%
#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)))
56.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
34.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
34.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) x #s(literal 1 binary64))) y))
32.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
26.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
59.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
50.4%
#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)))
55.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))
80.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
50.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
50.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) y))
64.4%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Compiler

Compiled 1 323 to 538 computations (59.3% saved)

regimes49.0ms (1%)

Memory
-4.6MiB live, 17.5MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
#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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 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 (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 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 (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))) (neg.f64 (*.f64 x x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x)
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
Calls

4 calls:

22.0ms
(sinh.f64 y)
9.0ms
y
9.0ms
x
8.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
99.9%1(sinh.f64 y)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes32.0ms (0.6%)

Memory
0.7MiB live, 16.1MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
#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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 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 (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 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 (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))) (neg.f64 (*.f64 x x))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 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 (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Calls

4 calls:

8.0ms
y
8.0ms
x
8.0ms
(sinh.f64 y)
7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
96.8%2x
98.7%3y
99.9%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
90.5%2(sinh.f64 y)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes8.0ms (0.1%)

Memory
-4.8MiB live, 4.6MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
#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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 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 (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 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 (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 #s(approx (* (sinh y) (sin x)) (*.f64 (sin.f64 x) y))) (neg.f64 (*.f64 x x))) x)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Calls

1 calls:

6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.9%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes23.0ms (0.5%)

Memory
-2.7MiB live, 12.9MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
#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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 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 (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 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 (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Calls

4 calls:

6.0ms
y
6.0ms
x
5.0ms
(sinh.f64 y)
5.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
66.8%2(sinh.f64 y)
77.5%3x
66.8%2y
75.4%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes11.0ms (0.2%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
#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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 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 (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 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 (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Calls

2 calls:

5.0ms
x
5.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
75.4%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
68.6%3x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.1%)

Memory
-4.3MiB live, 3.5MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
#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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 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 (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 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 (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 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)))
Calls

1 calls:

4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
70.6%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes18.0ms (0.4%)

Memory
2.4MiB live, 11.0MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
#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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 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 (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 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 (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 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) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))
Calls

4 calls:

4.0ms
x
4.0ms
y
4.0ms
(sinh.f64 y)
4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
58.3%2y
58.3%2(sinh.f64 y)
61.6%3x
67.0%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes4.0ms (0.1%)

Memory
-4.9MiB live, 3.0MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
#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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 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 (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))
Calls

1 calls:

4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
65.9%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
#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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 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) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))
Calls

1 calls:

3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
65.1%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes13.0ms (0.2%)

Memory
0.9MiB live, 8.7MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
#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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) x #s(literal 1 binary64))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#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)))
Calls

4 calls:

3.0ms
x
3.0ms
y
3.0ms
(sinh.f64 y)
3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
52.8%2y
52.8%2(sinh.f64 y)
54.2%2x
59.6%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes3.0ms (0.1%)

Memory
2.0MiB live, 2.0MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (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 (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
Calls

1 calls:

2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
59.3%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory
-4.7MiB live, 3.3MiB 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) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
53.9%2x
51.8%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB 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) (+.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

4 calls:

1.0ms
x
1.0ms
y
1.0ms
(sinh.f64 y)
1.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
28.3%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
29.0%2y
29.0%2(sinh.f64 y)
37.1%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes5.0ms (0.1%)

Memory
-2.6MiB live, 5.6MiB 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
x
1.0ms
y
1.0ms
(sinh.f64 y)
1.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
26.6%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
26.6%1y
26.6%1(sinh.f64 y)
26.6%1x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.475243918136565e-137
1.7240732779087503e-131
0.0ms
-inf
-3.7923449443057276e-85
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.475243918136565e-137
1.7240732779087503e-131
0.0ms
-inf
-3.7923449443057276e-85
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch29.0ms (0.6%)

Memory
0.3MiB live, 8.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.3774498618523004e+96
1.3384525400199623e+102
11.0ms
1.7715435016103586e+32
1.1213173402863106e+33
Samples
18.0ms240×0valid
Compiler

Compiled 715 to 503 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 9.0ms (71.2% of total)
ival-div: 1.0ms (7.9% of total)
ival-mult: 1.0ms (7.9% of total)
ival-sinh: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.952688089511916e-300
7.716935022743898e-296
0.0ms
-inf
-3.7923449443057276e-85
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.952688089511916e-300
7.716935022743898e-296
0.0ms
-inf
-3.7923449443057276e-85
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.952688089511916e-300
7.716935022743898e-296
0.0ms
-inf
-3.7923449443057276e-85
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.952688089511916e-300
7.716935022743898e-296
0.0ms
-2.2833800253788883e-88
-1.4616039985646318e-119
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.952688089511916e-300
7.716935022743898e-296
0.0ms
-2.2833800253788883e-88
-1.4616039985646318e-119
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.952688089511916e-300
7.716935022743898e-296
0.0ms
-2.2833800253788883e-88
-1.4616039985646318e-119
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.952688089511916e-300
7.716935022743898e-296
0.0ms
-2.2833800253788883e-88
-1.4616039985646318e-119
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch17.0ms (0.3%)

Memory
-2.9MiB live, 4.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
244892555241.0914
1092353969049502800.0
Samples
10.0ms144×0valid
Compiler

Compiled 658 to 434 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 5.0ms (68.2% of total)
ival-div: 1.0ms (13.6% of total)
ival-mult: 1.0ms (13.6% of total)
ival-sinh: 1.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.3%)

Memory
-4.0MiB live, 3.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
244892555241.0914
1092353969049502800.0
Samples
8.0ms112×0valid
Compiler

Compiled 370 to 290 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 4.0ms (73.3% of total)
ival-div: 1.0ms (18.3% of total)
ival-mult: 1.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

simplify28.0ms (0.5%)

Memory
4.3MiB live, 21.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01441180
11731180
21811180
31851180
41871180
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 8379879956214123/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 8379879956214123/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 x #s(literal 980000000000000027368231689781248 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 x #s(literal 3800000000000000165760065217451436641891682514886872647634900276802368401296448893640335308095488 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(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)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -7167183174968973/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -7167183174968973/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -7167183174968973/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(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 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -7167183174968973/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))))
(if (<=.f64 x #s(literal 142000000000000000 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1600000000000000 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
Outputs
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 8379879956214123/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 8379879956214123/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 8379879956214123/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 8379879956214123/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 x #s(literal 980000000000000027368231689781248 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 x #s(literal 3800000000000000165760065217451436641891682514886872647634900276802368401296448893640335308095488 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 980000000000000027368231689781248 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 x #s(literal 3800000000000000165760065217451436641891682514886872647634900276802368401296448893640335308095488 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(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)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(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)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -7167183174968973/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -7167183174968973/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -7167183174968973/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(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 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -7167183174968973/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 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(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y))))
(if (<=.f64 x #s(literal 142000000000000000 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) #s(approx (* (+ (* (* y y) 1/6) 1) (/ (sin x) x)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 1600000000000000 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))

soundness1.1s (20.5%)

Memory
2.2MiB live, 17.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113506
1373451
21226411
33032390
08138354
02671377
18551244
230491127
080161024
035173
058157
1178151
21182149
08607147
0616
01016
12716
211716
384016
0825716
03301850
110921654
238271490
084541357
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 480 to 518 computations (65% saved)

preprocess133.0ms (2.6%)

Memory
-0.8MiB live, 68.4MiB allocated
Remove

(abs x)

Compiler

Compiled 3 684 to 920 computations (75% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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