Linear.Quaternion:$ccosh from linear-1.19.1.3

Time bar (total: 9.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze10.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
87.5%87.4%12.5%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
93.8%93.7%6.2%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
96.9%96.8%3.1%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
98.4%98.3%1.6%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.4s (15.5%)

Memory
17.4MiB live, 1 194.3MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 786.0ms
ival-div: 392.0ms (49.9% of total)
ival-sin: 280.0ms (35.6% of total)
ival-mult: 60.0ms (7.6% of total)
ival-sinh: 44.0ms (5.6% of total)
ival-true: 7.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain129.0ms (1.4%)

Memory
4.9MiB live, 180.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
280-2(1.2088401856801715e-40 1.3650634483437052e-278)(/.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/n260
(*.f64 (sin.f64 x) (sinh.f64 y))underflow26
Confusion
Predicted +Predicted -
+262
-0228
Precision
1.0
Recall
0.9285714285714286
Confusion?
Predicted +Predicted MaybePredicted -
+2602
-00228
Precision?
1.0
Recall?
0.9285714285714286
Freqs
test
numberfreq
0230
126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms512×0valid
Compiler

Compiled 83 to 34 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sin: 33.0ms (74.7% of total)
ival-div: 4.0ms (9.1% of total)
ival-mult: 4.0ms (9.1% of total)
ival-sinh: 3.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess285.0ms (3.1%)

Memory
-23.1MiB live, 135.0MiB 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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.2%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify257.0ms (2.8%)

Memory
3.7MiB live, 120.9MiB 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

localize53.0ms (0.6%)

Memory
-10.2MiB live, 28.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0.00390625
(sinh.f64 y)
accuracy0.08203125
(*.f64 (sin.f64 x) (sinh.f64 y))
accuracy6.276541522643194
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Samples
19.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 7.0ms (59.6% of total)
ival-div: 2.0ms (17% of total)
ival-mult: 2.0ms (17% of total)
ival-sinh: 1.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
4 → 27
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(*.f64 (sin.f64 x) (sinh.f64 y))
(sin.f64 x)
(sinh.f64 y)
Outputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(sin x)
(/ (* y (sin x)) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
Calls

6 calls:

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

simplify201.0ms (2.2%)

Memory
27.6MiB live, 134.5MiB 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)

rewrite237.0ms (2.6%)

Memory
-5.8MiB live, 132.4MiB 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)))

eval107.0ms (1.2%)

Memory
-16.4MiB live, 95.9MiB allocated
Compiler

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

prune68.0ms (0.7%)

Memory
-16.0MiB live, 32.6MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5119520
Fresh000
Picked101
Done000
Total5129521
Accuracy
100.0%
Counts
521 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
81.6%
(/.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)
41.1%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
89.7%
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
99.9%
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
99.9%
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
50.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
58.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
90.2%
#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 246 to 184 computations (25.2% saved)

simplify578.0ms (6.3%)

Memory
7.5MiB live, 117.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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)))
cost-diff0
(exp.f64 y)
cost-diff0
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
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-diff7040
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
cost-diff0
(sin.f64 x)
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
#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
(sinh.f64 y)
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) x)
cost-diff0
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030192
048186
186186
2189186
3529184
41810178
53837178
65570178
77488178
08004176
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(sinh.f64 y)
y
#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 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(sin.f64 x)
x
(/.f64 x (sinh.f64 y))
(sinh.f64 y)
y
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(sinh.f64 y)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 y (/.f64 (sin.f64 x) x))
(/.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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 (sin.f64 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)
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 (sin.f64 x) 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) (sinh.f64 y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(sinh.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 (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

localize322.0ms (3.5%)

Memory
19.8MiB live, 144.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0.00390625
(/.f64 x (sinh.f64 y))
accuracy0.00390625
(sinh.f64 y)
accuracy0.3518360008393364
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
accuracy0
(exp.f64 (neg.f64 y))
accuracy0
(exp.f64 y)
accuracy17.128794194774873
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy28.650706626844954
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
accuracy0.015625
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy0.04296875
(*.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)
accuracy0.0703125
(/.f64 (sin.f64 x) x)
accuracy1.5028133569016178
#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)
accuracy0.04296875
(*.f64 (/.f64 (sin.f64 x) x) y)
accuracy0.0703125
(/.f64 (sin.f64 x) x)
accuracy1.8696266196347064
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
accuracy0
(sin.f64 x)
accuracy0.00390625
(sinh.f64 y)
accuracy0.0390625
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
accuracy0.0703125
(/.f64 (sin.f64 x) x)
Samples
181.0ms124×5exit
50.0ms11×0valid
34.0ms48×2valid
32.0ms73×1valid
Compiler

Compiled 358 to 59 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 234.0ms
ival-mult: 133.0ms (56.9% of total)
ival-exp: 38.0ms (16.3% of total)
adjust: 27.0ms (11.6% of total)
const: 11.0ms (4.7% of total)
ival-sin: 7.0ms (3% of total)
ival-div: 6.0ms (2.6% of total)
ival-add: 5.0ms (2.1% of total)
ival-sub: 4.0ms (1.7% of total)
ival-sinh: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory
2.6MiB live, 39.0MiB allocated
Counts
17 → 71
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
(sinh.f64 y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.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 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.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 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 x (sinh.f64 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)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(exp.f64 (neg.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
(+ 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)))
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 (* (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))))))
(* 2 (/ x (- (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))))))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (sin x) x)
(sin x)
(/ (* y (sin x)) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) 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 (+ 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))))))
(/ 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)
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* 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)
(* 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 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(exp (neg y))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(exp (* -1 y))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
x
@-inf
((* (/ (sin x) x) (sinh y)) (/ (sin x) x) (sin x) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) (/ x (sinh y))) (/ x (sinh y)) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (+ (* (* y y) 1/120) 1/6) (exp (neg y)))
4.0ms
x
@inf
((* (/ (sin x) x) (sinh y)) (/ (sin x) x) (sin x) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) (/ x (sinh y))) (/ x (sinh y)) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (+ (* (* y y) 1/120) 1/6) (exp (neg y)))
4.0ms
y
@inf
((* (/ (sin x) x) (sinh y)) (/ (sin x) x) (sin x) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) (/ x (sinh y))) (/ x (sinh y)) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (+ (* (* y y) 1/120) 1/6) (exp (neg y)))
4.0ms
y
@-inf
((* (/ (sin x) x) (sinh y)) (/ (sin x) x) (sin x) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) (/ x (sinh y))) (/ x (sinh y)) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (+ (* (* y y) 1/120) 1/6) (exp (neg y)))
3.0ms
x
@0
((* (/ (sin x) x) (sinh y)) (/ (sin x) x) (sin x) (sinh y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (/ (sin x) (/ x (sinh y))) (/ x (sinh y)) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (+ (* (* y y) 1/120) 1/6) (exp (neg y)))

simplify343.0ms (3.7%)

Memory
-15.2MiB live, 189.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02571236
18361120
22983996
08121896
Stop Event
iter limit
node limit
Counts
71 → 69
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
(+ 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)))
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 (* (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))))))
(* 2 (/ x (- (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))))))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (sin x) x)
(sin x)
(/ (* y (sin x)) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) 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 (+ 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))))))
(/ 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)
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* 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)
(* 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 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(exp (neg y))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(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))))
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))
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 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y))
(+ 1 (* (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 (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 #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))))
(* 2 (/ x (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 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 #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 (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 #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)))
(* 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))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(/ (* (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))
(/ (* 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))
(* 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 (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 (+ 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))
(/ 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 (neg.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) 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) (neg.f64 y) (*.f64 #s(literal 7/360 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (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 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 (*.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 4 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)
(* 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 (pow.f64 y #s(literal 5 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (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)))))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(exp (neg y))
(exp.f64 (neg.f64 y))
(* 1/2 (- (exp y) (exp (* -1 y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(- (exp y) (exp (* -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 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 (pow.f64 y #s(literal 5 binary64)) (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)))))
(exp (* -1 y))
(exp.f64 (neg.f64 y))

rewrite293.0ms (3.2%)

Memory
22.8MiB live, 294.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030147
048137
1150133
2983131
08439129
Stop Event
iter limit
node limit
iter limit
Counts
17 → 980
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
(sinh.f64 y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.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 (/.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 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.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 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 x (sinh.f64 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)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(exp.f64 (neg.f64 y))
Outputs
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) #s(literal -1 binary64)) (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 (sin.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.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 (sin.f64 x) (/.f64 x (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64))) (/.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)) #s(literal 1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (sinh.f64 y))
(*.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 2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) #s(literal 1/2 binary64))
(*.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 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 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 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) (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) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.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 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) 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)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x)))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))
(*.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 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)) #s(literal -1 binary64))
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(pow.f64 (exp.f64 y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y))))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) y))
(exp.f64 (neg.f64 y))

eval171.0ms (1.8%)

Memory
-6.6MiB live, 225.9MiB allocated
Compiler

Compiled 27 139 to 3 356 computations (87.6% saved)

prune134.0ms (1.4%)

Memory
-1.4MiB live, 77.2MiB allocated
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New1 003161 019
Fresh314
Picked145
Done000
Total1 007211 028
Accuracy
100.0%
Counts
1 028 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
49.2%
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 31/15120 binary64)) y) (neg.f64 y) (*.f64 #s(literal 7/360 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
41.1%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
99.9%
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
40.7%
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
90.2%
#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)) (sin.f64 x)) x) y))
50.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
66.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
57.6%
#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)))
21.4%
#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)))
90.2%
#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))
80.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
55.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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))) y))
33.3%
#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))
34.1%
#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))
31.2%
#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))
24.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
58.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
49.9%
#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)))
54.9%
#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))
62.3%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Compiler

Compiled 868 to 589 computations (32.1% saved)

simplify276.0ms (3%)

Memory
-15.0MiB live, 112.4MiB 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
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
cost-diff0
(/.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)) (sin.f64 x)) x)
cost-diff0
#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)) (sin.f64 x)) x) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033261
052261
187261
2154261
3369259
41024259
52607259
63855259
76323259
08006257
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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)) (sin.f64 x)) x) 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)) (sin.f64 x)) x) y)
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sin.f64 x)
x
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.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
#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)) (sin.f64 x)) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) x) (sin.f64 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)) (sin.f64 x)) x) y)
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) x) (sin.f64 x))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) 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))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(*.f64 (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)))
(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 (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 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sin.f64 x)
x
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (* (sin x) (sinh y)) x) (*.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)
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) y)
(sin.f64 x)
x
y

localize195.0ms (2.1%)

Memory
29.0MiB live, 114.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0.125
(*.f64 (sin.f64 x) y)
accuracy6.276541522643194
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
accuracy31.472650342028867
#s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))
accuracy0.00390625
(sinh.f64 y)
accuracy24.128717127730543
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
accuracy0.09375
(*.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)
accuracy0.2585620844034232
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy31.406930491409696
#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))
accuracy32.26694885542896
#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)))
accuracy0.09375
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
accuracy31.406930491409696
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
accuracy31.866353426312795
#s(approx (/ (sin x) x) #s(literal 1 binary64))
accuracy0.28842715488427784
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy1.9060570022226124
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
accuracy2.6569479937665723
(/.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)) (sin.f64 x)) x)
accuracy6.9346549376789035
#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)) (sin.f64 x)) x) y))
Samples
176.0ms256×0valid
Compiler

Compiled 448 to 61 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-sin: 76.0ms (60.3% of total)
ival-mult: 29.0ms (23% of total)
const: 10.0ms (7.9% of total)
ival-div: 5.0ms (4% of total)
ival-add: 5.0ms (4% of total)
ival-sinh: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series77.0ms (0.8%)

Memory
-9.6MiB live, 28.1MiB allocated
Counts
19 → 74
Calls
Call 1
Inputs
#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)) (sin.f64 x)) x) y))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(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))
(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)
(sin.f64 x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(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)))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
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)))))))
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))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(/ (* 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))
(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)))
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ 1 (* 1/6 (pow y 2)))
(* 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))))))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (* (pow y 4) (sin x)))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
64.0ms
x
@0
((/ (* (sin x) (sinh y)) x) (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ (* (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) (sinh y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (sin x) (+ (* 1/120 (* y y)) 1/6) (+ (* 1/120 (* x x)) -1/6))
3.0ms
x
@-inf
((/ (* (sin x) (sinh y)) x) (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ (* (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) (sinh y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (sin x) (+ (* 1/120 (* y y)) 1/6) (+ (* 1/120 (* x x)) -1/6))
3.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ (* (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) (sinh y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (sin x) (+ (* 1/120 (* y y)) 1/6) (+ (* 1/120 (* x x)) -1/6))
3.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ (* (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) (sinh y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (sin x) (+ (* 1/120 (* y y)) 1/6) (+ (* 1/120 (* x x)) -1/6))
2.0ms
y
@-inf
((/ (* (sin x) (sinh y)) x) (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ (* (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) (sinh y) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (sin x) y) (sin x) (+ (* 1/120 (* y y)) 1/6) (+ (* 1/120 (* x x)) -1/6))

simplify230.0ms (2.5%)

Memory
-20.0MiB live, 174.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02011310
16911189
223201089
359471032
08230923
Stop Event
iter limit
node limit
Counts
74 → 72
Calls
Call 1
Inputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
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)))))))
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))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(/ (* 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))
(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)))
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(+ 1 (* 1/6 (pow y 2)))
(* 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))))))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (* (pow y 4) (sin x)))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (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 (-.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))))))))
(*.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 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #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 #s(literal 1/120 binary64) (*.f64 y y) #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))))))
(*.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)) (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) (+ (* -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 (*.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)) (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) (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 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(*.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)
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #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))) x)
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(*.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)) (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 (+ 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)))))))
(*.f64 (fma.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)) (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) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
y
(+ y (* -1/6 (* (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(*.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)))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.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 y x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)
-1/6
#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) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(/ (* 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 y (sin.f64 x))
(sin x)
(sin.f64 x)
(* 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 (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)) y)
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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))
(*.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))
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* 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 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) 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 y (sin.f64 x)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) (sin.f64 x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(*.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))
(* 1/120 (* (pow y 4) (sin x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (sin.f64 x))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/120 (pow y 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))

rewrite324.0ms (3.5%)

Memory
14.1MiB live, 300.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033220
052220
1161220
2940219
08517218
Stop Event
iter limit
node limit
iter limit
Counts
19 → 583
Calls
Call 1
Inputs
#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)) (sin.f64 x)) x) y))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(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))
(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)
(sin.f64 x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
Outputs
#s(approx (/ (* (sin x) (sinh y)) 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)))
(*.f64 (*.f64 (pow.f64 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))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (neg.f64 y) #s(literal -1 binary64)) (sin.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 (/.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 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)) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (/.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (neg.f64 y) #s(literal -1 binary64)) 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)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) x))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (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))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/2985984000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/2985984000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/5159780352000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/2985984000000 binary64) (-.f64 #s(literal 1/46656 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/373248000 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.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 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))
(/.f64 (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)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (neg.f64 (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 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))))))
(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 x x) #s(literal 1/120 binary64) #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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #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))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #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)))

eval87.0ms (0.9%)

Memory
-5.2MiB live, 186.5MiB allocated
Compiler

Compiled 24 427 to 3 224 computations (86.8% saved)

prune25.0ms (0.3%)

Memory
30.9MiB live, 70.4MiB allocated
Pruning

23 alts after pruning (14 fresh and 9 done)

PrunedKeptTotal
New6545659
Fresh3912
Picked055
Done044
Total65723680
Accuracy
100.0%
Counts
680 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
49.2%
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 31/15120 binary64)) y) (neg.f64 y) (*.f64 #s(literal 7/360 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
41.1%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
19.9%
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
40.7%
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))))
99.9%
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
90.2%
#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)) (sin.f64 x)) x) y))
50.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
66.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
57.6%
#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)))
21.4%
#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)))
90.2%
#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))
80.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
55.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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))) y))
54.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
33.3%
#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))
34.1%
#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))
33.9%
#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))
31.2%
#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))
24.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
58.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
49.9%
#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)))
62.3%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Compiler

Compiled 888 to 600 computations (32.4% saved)

simplify145.0ms (1.6%)

Memory
-9.9MiB live, 148.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
cost-diff0
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y)))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
cost-diff0
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
cost-diff0
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
cost-diff0
(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
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) x)
cost-diff0
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060534
090534
1153534
2283534
3643532
41490532
52421532
64273532
75786532
86927532
97653532
08051515
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#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) #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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 y y)
y
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (/.f64 (sin.f64 x) x)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (sin.f64 x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#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) #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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))))
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 y y)
y
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))))
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y)))
(-.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (exp.f64 (neg.f64 y)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp y) (-.f64 y #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) y)
(-.f64 y #s(literal -1 binary64))
#s(literal 1 binary64)
y
(exp.f64 (neg.f64 y))
(neg.f64 y)
#s(literal 1/2 binary64)

localize248.0ms (2.7%)

Memory
8.0MiB live, 371.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 (neg.f64 y))
accuracy24.128717127730543
#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)))
accuracy28.650706626844954
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y)))
accuracy31.082673522768665
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
accuracy0.03125
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64))
accuracy0.28900099832883064
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
accuracy3.037499831065112
#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))
accuracy24.128717127730543
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
accuracy0.3132495844034232
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
accuracy30.82824378855804
#s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
accuracy31.406930491409696
#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))
accuracy32.26694885542896
#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)))
accuracy0.09375
(*.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)
accuracy31.406930491409696
#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))
accuracy32.26694885542896
#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)))
accuracy32.78153430260443
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
accuracy0.1328125
(/.f64 (sin.f64 x) x)
accuracy2.5788229937665723
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy6.9346549376789035
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
accuracy31.573716885690903
#s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64))
Samples
95.0ms135×0valid
63.0ms73×1valid
49.0ms48×2valid
Compiler

Compiled 831 to 107 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
const: 43.0ms (30.1% of total)
ival-mult: 36.0ms (25.2% of total)
ival-exp: 24.0ms (16.8% of total)
ival-add: 13.0ms (9.1% of total)
adjust: 12.0ms (8.4% of total)
ival-sin: 7.0ms (4.9% of total)
ival-div: 3.0ms (2.1% of total)
ival-sub: 2.0ms (1.4% of total)
ival-neg: 1.0ms (0.7% of total)
ival-sinh: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-29.5MiB live, 45.3MiB allocated
Counts
27 → 81
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) x)
(sin.f64 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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64))
#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 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64))
(exp.f64 (neg.f64 y))
Outputs
(* 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 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
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))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (sin x) x)
(sin x)
(/ (* y (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)))))
(* (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)))
(+ (* 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 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 2 y)
(* y (+ 2 (* 1/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
1/60
(+ 1/60 (* 1/2520 (pow y 2)))
1/3
(+ 1/3 (* 1/60 (pow y 2)))
(+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* 1/120 (/ (* (pow y 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)))
(* 1/2520 (pow y 7))
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6)))))))
(exp y)
(* y (+ 1 (/ 1 y)))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/2520 (pow y 2))
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* 1/2520 (pow y 4))
(* (pow y 4) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(exp (neg y))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))))
(exp (* -1 y))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
((/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (sin 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) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (+ 1 y) (+ (* (* y y) 1/120) 1/6) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y)))
4.0ms
x
@0
((/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (sin 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) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (+ 1 y) (+ (* (* y y) 1/120) 1/6) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y)))
3.0ms
x
@-inf
((/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (sin 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) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (+ 1 y) (+ (* (* y y) 1/120) 1/6) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y)))
3.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (sin 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) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (+ 1 y) (+ (* (* y y) 1/120) 1/6) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y)))
3.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (sin 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) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (+ 1 y) (+ (* (* y y) 1/120) 1/6) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/120 (* x x)) -1/6) (* 1/120 (* x x)) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y)))

simplify416.0ms (4.5%)

Memory
11.3MiB live, 205.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421083
17711026
22387949
35904918
08366835
Stop Event
iter limit
node limit
Counts
81 → 79
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 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
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))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(/ (sin x) x)
(sin x)
(/ (* y (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)))))
(* (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)))
(+ (* 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 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 2 y)
(* y (+ 2 (* 1/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))))))
(+ 1 y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
1/60
(+ 1/60 (* 1/2520 (pow y 2)))
1/3
(+ 1/3 (* 1/60 (pow y 2)))
(+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))
(+ 1 (* -1 y))
(+ 1 (* y (- (* 1/2 y) 1)))
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))
(* 1/120 (/ (* (pow y 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)))
(* 1/2520 (pow y 7))
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6)))))))
(exp y)
(* y (+ 1 (/ 1 y)))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/2520 (pow y 2))
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* 1/2520 (pow y 4))
(* (pow y 4) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(exp (neg y))
(* 1/2 (- (exp y) (exp (* -1 y))))
(- (exp y) (exp (* -1 y)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))))
(exp (* -1 y))
Outputs
(* 1/2 (- (exp 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))))))))
(*.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 (* (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))))))
(*.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 (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) (+ (* -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 (*.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 (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) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 (*.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))
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 (*.f64 x x) #s(literal 1/120 binary64) #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 (*.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)))))
(*.f64 y (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 (* (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)
-1/6
#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))
(* 1/2 (/ (* (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) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* 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))))
(* (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 (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 (/.f64 y x) (sin.f64 x) (*.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)))))
(* 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)
(+ (* 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))
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 1/3 (pow y 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #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))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow y 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow y 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64))
(+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64))
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* 1/2 y) 1)))
(fma.f64 (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 4) (sin x)) x))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) (sin.f64 x))
(* (pow y 4) (+ (* 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 4 binary64)))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 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)))
(* 1/2520 (pow y 7))
(*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 y y)) #s(literal 1/2520 binary64)) (pow.f64 y #s(literal 7 binary64)))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal 1/60 binary64) (*.f64 y y))) (pow.f64 y #s(literal 7 binary64)))
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/2520 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/60 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 7 binary64)))
(exp y)
(exp.f64 y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/2520 (pow y 2))
(*.f64 #s(literal 1/2520 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
(* 1/2520 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow y 4) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)
(* (pow y 4) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/60 binary64) (*.f64 y y)))
(exp (neg y))
(exp.f64 (neg.f64 y))
(* 1/2 (- (exp y) (exp (* -1 y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(- (exp y) (exp (* -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1/60 binary64)) y) y) #s(literal -1/2520 binary64)) (pow.f64 y #s(literal 7 binary64)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2)))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1/3 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 7 binary64)))
(exp (* -1 y))
(exp.f64 (neg.f64 y))

rewrite191.0ms (2.1%)

Memory
-5.3MiB live, 279.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060436
090430
1301430
22002430
08451417
Stop Event
iter limit
node limit
iter limit
Counts
27 → 486
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) x)
(sin.f64 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 (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y)))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64))
#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 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64))
(exp.f64 (neg.f64 y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (/.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) 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 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 x (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 x (sin.f64 x)) #s(literal -3 binary64)) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (sin.f64 x)) #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x))) (neg.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) y))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (neg.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 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) (*.f64 y #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal -1/3 binary64))) (*.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)) #s(literal 1/9 binary64))) (*.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)) (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 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.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 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) (*.f64 y #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) (*.f64 y #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/9 binary64)) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) (*.f64 y #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) (*.f64 y #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) (*.f64 y #s(literal 1/3 binary64))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64))
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y))))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal -1/3 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 y)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(pow.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) y)
(pow.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64))
(pow.f64 (exp.f64 y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 y))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) y))
(exp.f64 (neg.f64 y))

eval115.0ms (1.2%)

Memory
5.1MiB live, 160.3MiB allocated
Compiler

Compiled 24 458 to 2 958 computations (87.9% saved)

prune26.0ms (0.3%)

Memory
32.1MiB live, 70.8MiB allocated
Pruning

24 alts after pruning (12 fresh and 12 done)

PrunedKeptTotal
New5497556
Fresh459
Picked235
Done099
Total55524579
Accuracy
100.0%
Counts
579 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
49.2%
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 31/15120 binary64)) y) (neg.f64 y) (*.f64 #s(literal 7/360 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
41.1%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
19.9%
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
40.7%
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))))
99.9%
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
90.2%
#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)) (sin.f64 x)) x) y))
50.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
66.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
26.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
21.6%
#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)))
90.2%
#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))
80.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
53.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
49.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
54.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
34.1%
#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))
31.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))) y))
33.9%
#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))
24.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
58.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
58.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
53.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64)))
62.3%
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Compiler

Compiled 1 495 to 631 computations (57.8% saved)

regimes46.0ms (0.5%)

Memory
-8.7MiB live, 75.8MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (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 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) 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) (+ (* (+ (* (* 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 (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 (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 (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 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64)))
#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 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) 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)) (sin.f64 x)) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 31/15120 binary64)) y) (neg.f64 y) (*.f64 #s(literal 7/360 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.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 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sinh.f64 y) (sin.f64 x))))
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
Calls

4 calls:

12.0ms
(sinh.f64 y)
12.0ms
y
11.0ms
x
9.0ms
(/.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)

regimes53.0ms (0.6%)

Memory
-11.2MiB live, 66.6MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (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 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) 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) (+ (* (+ (* (* 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 (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 (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 (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 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64)))
#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 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) 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)) (sin.f64 x)) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
(/.f64 (sin.f64 x) #s(approx (/ x (sinh y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 31/15120 binary64)) y) (neg.f64 y) (*.f64 #s(literal 7/360 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#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 (*.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) (sinh.f64 y))
Calls

4 calls:

22.0ms
x
11.0ms
(sinh.f64 y)
10.0ms
y
8.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
95.8%2x
98.6%3y
98.8%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
90.2%1(sinh.f64 y)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes9.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (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 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) 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) (+ (* (+ (* (* 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 (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 (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 (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 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64)))
#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 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Calls

1 calls:

7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.1%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.1%)

Memory
-20.0MiB live, 21.2MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (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 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) 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) (+ (* (+ (* (* 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 (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 (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 (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 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64)))
#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 y x) (sin.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y))))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #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:

7.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.0%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (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 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) 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) (+ (* (+ (* (* 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 (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 (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 (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 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64)))
#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 y x) (sin.f64 x)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x)))
#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
99.0%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes34.0ms (0.4%)

Memory
-7.6MiB live, 65.3MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (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 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) 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) (+ (* (+ (* (* 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 (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 (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 (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 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
Calls

4 calls:

10.0ms
x
9.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
7.0ms
y
6.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
65.2%2(sinh.f64 y)
79.8%3x
69.5%3y
79.6%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes16.0ms (0.2%)

Memory
-0.7MiB live, 37.0MiB 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) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) 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) (+ (* (+ (* (* 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 (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 (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 (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 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))
Calls

2 calls:

10.0ms
x
5.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
79.6%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
78.4%3x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes32.0ms (0.3%)

Memory
-10.2MiB live, 46.8MiB 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) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) 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) (+ (* (+ (* (* 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 (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 (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 (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 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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

2 calls:

26.0ms
x
5.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
71.1%2x
75.8%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.1%)

Memory
-22.4MiB live, 16.1MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (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 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) 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) (+ (* (+ (* (* 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 (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 (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 (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 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
Calls

1 calls:

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

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.1%)

Memory
24.1MiB live, 24.1MiB 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) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) 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) (+ (* (+ (* (* 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 (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 (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 (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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) 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

2 calls:

5.0ms
x
4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
68.9%2x
72.2%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes10.0ms (0.1%)

Memory
-16.0MiB live, 22.8MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (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 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) 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) (+ (* (+ (* (* 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 (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 (/ (* (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (sin x)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
Outputs
#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 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

2 calls:

6.0ms
x
4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
68.9%2x
68.1%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes11.0ms (0.1%)

Memory
29.1MiB live, 29.1MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (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 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) 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))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
Calls

3 calls:

4.0ms
x
4.0ms
y
3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
56.7%3y
63.2%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
66.1%2x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory
-13.3MiB live, 25.5MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (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 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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 (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 #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

3 calls:

4.0ms
x
3.0ms
(sinh.f64 y)
3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
63.9%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
52.8%2(sinh.f64 y)
60.9%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes14.0ms (0.2%)

Memory
-13.1MiB live, 28.9MiB 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) (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))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) 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)))
(/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)
Calls

4 calls:

6.0ms
y
3.0ms
x
2.0ms
(sinh.f64 y)
2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
34.6%2(sinh.f64 y)
34.6%2y
41.7%2x
43.4%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes5.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (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 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 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)))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
41.7%2x
38.9%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB 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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
40.8%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
-20.5MiB live, 16.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
1.0ms
y
1.0ms
x
1.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
24.9%1y
24.9%1(sinh.f64 y)
24.9%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
24.9%1x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0657024416177821e-79
1.8756143253127204e-72
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0657024416177821e-79
1.8756143253127204e-72
0.0ms
-inf
-1.7570493009745756e-75
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0657024416177821e-79
1.8756143253127204e-72
0.0ms
-inf
-1.7570493009745756e-75
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0657024416177821e-79
1.8756143253127204e-72
0.0ms
-inf
-1.7570493009745756e-75
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch37.0ms (0.4%)

Memory
-16.0MiB live, 59.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.519820760765878e+83
3.8901580009635965e+83
22.0ms
5.428813786803062e+32
1.843908764398659e+44
Samples
22.0ms240×0valid
Compiler

Compiled 630 to 501 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 9.0ms (64.1% of total)
ival-div: 2.0ms (14.2% of total)
ival-mult: 2.0ms (14.2% of total)
ival-sinh: 1.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.794000951383505e-299
1.772015784119748e-294
0.0ms
-5.25757237224823e-116
-1.7841646907085615e-156
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.794000951383505e-299
1.772015784119748e-294
0.0ms
-5.25757237224823e-116
-1.7841646907085615e-156
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.794000951383505e-299
1.772015784119748e-294
0.0ms
-5.25757237224823e-116
-1.7841646907085615e-156
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.794000951383505e-299
1.772015784119748e-294
0.0ms
-5.25757237224823e-116
-1.7841646907085615e-156
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
5.428813786803062e+32
1.843908764398659e+44
Compiler

Compiled 690 to 481 computations (30.3% saved)

bsearch2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
5.428813786803062e+32
1.843908764398659e+44
Compiler

Compiled 540 to 421 computations (22% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.794000951383505e-299
1.772015784119748e-294
0.0ms
-5.25757237224823e-116
-1.7841646907085615e-156
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.2765791941468733e-304
7.794000951383505e-299
0.0ms
-5.25757237224823e-116
-1.7841646907085615e-156
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.519820760765878e+83
3.8901580009635965e+83
Compiler

Compiled 235 to 181 computations (23% saved)

bsearch20.0ms (0.2%)

Memory
20.4MiB live, 20.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
1.843908764398659e+44
2.3829672531475084e+54
Samples
13.0ms160×0valid
Compiler

Compiled 410 to 321 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sin: 6.0ms (68.1% of total)
ival-div: 1.0ms (11.3% of total)
ival-mult: 1.0ms (11.3% of total)
ival-sinh: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify42.0ms (0.5%)

Memory
-31.8MiB live, 49.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531252
11891252
21991252
32051252
42081252
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #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) (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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (sin.f64 x))) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 x #s(literal 35000000000000001106772429000639484407054336 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 x #s(literal 195000000000000008029295330074523081615225279341376825897660832625900207400867069952 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (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 -554533938824163/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -554533938824163/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 -554533938824163/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) (*.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 -554533938824163/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) 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 x #s(literal 35000000000000001106772429000639484407054336 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)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 35000000000000001106772429000639484407054336 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -554533938824163/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 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 4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104 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 -554533938824163/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 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 6176826577981891/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) (/.f64 #s(approx (* (sin x) (sinh y)) #s(approx (* (sin x) y) (*.f64 y x))) x)))
(if (<=.f64 x #s(literal 195000000000000008029295330074523081615225279341376825897660832625900207400867069952 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 200000000000000017642722810612845281403731968 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 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #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) (sinh.f64 y)))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #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 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 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 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 y (/.f64 (sin.f64 x) x))) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y))))
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(if (<=.f64 x #s(literal 195000000000000008029295330074523081615225279341376825897660832625900207400867069952 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 200000000000000017642722810612845281403731968 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))

soundness1.5s (16.1%)

Memory
41.1MiB live, 909.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030147
048137
1150133
2983131
08439129
0616
01016
12716
211716
384016
0825716
0113506
1373451
21226411
33032390
08138354
02011310
16911189
223201089
359471032
08230923
02421083
17711026
22387949
35904918
08366835
02571236
18361120
22983996
08121896
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 790 to 713 computations (60.2% saved)

preprocess273.0ms (3%)

Memory
-2.1MiB live, 200.3MiB allocated
Remove

(negabs y)

(abs x)

Compiler

Compiled 2 588 to 390 computations (84.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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