Linear.Quaternion:$ccosh from linear-1.19.1.3

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze11.0ms (0.2%)

Memory
38.2MiB live, 38.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
87.5%87.4%12.5%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
93.8%93.7%6.2%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
96.9%96.8%3.1%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
98.4%98.3%1.6%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.5s (22.7%)

Memory
-1.3MiB live, 1 570.0MiB allocated; 463ms collecting garbage
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 560.0ms
ival-sin: 319.0ms (57% of total)
ival-sinh: 104.0ms (18.6% of total)
ival-mult: 65.0ms (11.6% of total)
ival-div: 58.0ms (10.4% of total)
ival-true: 7.0ms (1.3% of total)
ival-assert: 4.0ms (0.7% of total)
adjust: 3.0ms (0.5% of total)
Bogosity

explain109.0ms (1.6%)

Memory
-6.3MiB live, 196.5MiB allocated; 43ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
320-3(-1.0654770786490371e-194 2.5578263571197388e-123)(/.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/n290
(*.f64 (sin.f64 x) (sinh.f64 y))underflow29
Confusion
Predicted +Predicted -
+293
-0224
Precision
1.0
Recall
0.90625
Confusion?
Predicted +Predicted MaybePredicted -
+2903
-00224
Precision?
1.0
Recall?
0.90625
Freqs
test
numberfreq
0227
129
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 19.0ms (46.4% of total)
ival-sin: 14.0ms (34.2% of total)
ival-mult: 4.0ms (9.8% of total)
ival-sinh: 4.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess272.0ms (4.1%)

Memory
-4.7MiB live, 263.8MiB allocated; 48ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series12.0ms (0.2%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Counts
6 → 27
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
(* 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) x (sinh y) y)
2.0ms
x
@-inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)
2.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)
2.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)
1.0ms
x
@0
((/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (sin x) x (sinh y) y)

simplify157.0ms (2.4%)

Memory
1.0MiB live, 238.7MiB allocated; 31ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite220.0ms (3.3%)

Memory
-20.7MiB live, 357.7MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
12218
27518
343618
4569518
0818418
Stop Event
iter limit
node limit
iter limit
Counts
6 → 226
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 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) x) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (/.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 (neg.f64 y)))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) x))
(*.f64 (/.f64 (sinh.f64 (neg.f64 y)) x) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 (neg.f64 y)) x))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) x) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (sinh.f64 (neg.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) x) (sin.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (sin.f64 x) x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (/.f64 (sin.f64 x) #s(literal 2 binary64)) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (*.f64 (cosh.f64 y) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (cosh.f64 y))
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(*.f64 #s(literal -1 binary64) (neg.f64 y))
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y))))
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(+.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (cosh.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 y))))
(+.f64 #s(literal 0 binary64) y)
(+.f64 y #s(literal 0 binary64))
(log.f64 (exp.f64 y))
y

eval36.0ms (0.5%)

Memory
0.8MiB live, 94.7MiB allocated; 15ms collecting garbage
Compiler

Compiled 4 662 to 1 054 computations (77.4% saved)

prune9.0ms (0.1%)

Memory
35.7MiB live, 35.7MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2458253
Fresh000
Picked011
Done000
Total2459254
Accuracy
100.0%
Counts
254 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
39.2%
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))))
88.9%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
81.5%
(/.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)
40.4%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
88.9%
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64)))
91.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
51.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
Compiler

Compiled 291 to 212 computations (27.1% saved)

simplify0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

series131.0ms (2%)

Memory
-7.5MiB live, 205.0MiB allocated; 93ms collecting garbage
Counts
33 → 133
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(sin.f64 x)
x
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#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))
(*.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)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64))
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))
(sinh.f64 (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 y) #s(literal 2 binary64))
(cosh.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)))))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(* 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 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ (* -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))))))))
(* 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))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(* 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)))))))))))))
(/ 2 x)
(* 1/4 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/24 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/4 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/24 (- (exp y) (/ 1 (exp y)))) (* 1/480 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/24 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/20160 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/480 (- (exp y) (/ 1 (exp y))))))))))
(* 1/2 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y)))))
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) (+ (exp y) (/ 1 (exp y))))) (* 1/2 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y))))))
(+ (* 1/2 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) (+ (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) (+ (exp y) (/ 1 (exp y))))) (* 1/240 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y))))))))))
(- (exp (* 2 y)) (/ 1 (exp (* 2 y))))
(- (+ (exp (* 2 y)) (* -1/6 (* (pow x 2) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (/ 1 (exp (* 2 y))))
(- (+ (exp (* 2 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) (* 1/120 (* (pow x 2) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))) (/ 1 (exp (* 2 y))))
(- (+ (exp (* 2 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))))) (* 1/120 (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))))) (/ 1 (exp (* 2 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(sin x)
(/ (* y (sin x)) x)
(/ (sin x) x)
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* 1/4 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (/ (* (sin x) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) (* x (+ (exp y) (/ 1 (exp y))))))
(/ (* (sin x) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(+ (* 1/6 (/ (* (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)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(pow y 2)
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(* 1/2 (* y (sin x)))
(* y (+ (* 1/12 (* (pow y 2) (sin x))) (* 1/2 (sin x))))
(* y (+ (* 1/2 (sin x)) (* (pow y 2) (+ (* 1/240 (* (pow y 2) (sin x))) (* 1/12 (sin x))))))
(* y (+ (* 1/2 (sin x)) (* (pow y 2) (+ (* 1/12 (sin x)) (* (pow y 2) (+ (* 1/10080 (* (pow y 2) (sin x))) (* 1/240 (sin 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))))))))
(* y (+ (* 1/2 (* (pow y 2) (- (* 4/3 (/ (sin x) x)) (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 4/15 (/ (sin x) x)) (+ (* 1/12 (/ (sin x) x)) (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))))))) (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 8/315 (/ (sin x) x)) (+ (* 1/360 (/ (sin x) x)) (+ (* 1/24 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))) (* 1/2 (- (* 4/15 (/ (sin x) x)) (+ (* 1/12 (/ (sin x) x)) (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))))))))))) (* 1/2 (- (* 4/15 (/ (sin x) x)) (+ (* 1/12 (/ (sin x) x)) (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x)))))))))) (/ (sin x) x)))
(* 4 (/ (* y (sin x)) x))
(* y (+ (* 8/3 (/ (* (pow y 2) (sin x)) x)) (* 4 (/ (sin x) x))))
(* y (+ (* 4 (/ (sin x) x)) (* (pow y 2) (+ (* 8/15 (/ (* (pow y 2) (sin x)) x)) (* 8/3 (/ (sin x) x))))))
(* y (+ (* 4 (/ (sin x) x)) (* (pow y 2) (+ (* 8/3 (/ (sin x) x)) (* (pow y 2) (+ (* 16/315 (/ (* (pow y 2) (sin x)) x)) (* 8/15 (/ (sin x) x))))))))
(* 4 y)
(* y (+ 4 (* 8/3 (pow y 2))))
(* y (+ 4 (* (pow y 2) (+ 8/3 (* 8/15 (pow y 2))))))
(* y (+ 4 (* (pow y 2) (+ 8/3 (* (pow y 2) (+ 8/15 (* 16/315 (pow y 2))))))))
(* 2 y)
(* y (+ 2 (* 4/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 4/3 (* 4/15 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 4/3 (* (pow y 2) (+ 4/15 (* 8/315 (pow y 2))))))))
4
(+ 4 (* 2 (pow y 2)))
(+ 4 (* (pow y 2) (+ 2 (* 1/6 (pow y 2)))))
(+ 4 (* (pow y 2) (+ 2 (* (pow y 2) (+ 1/6 (* 1/180 (pow y 2)))))))
2
(+ 2 (pow y 2))
(+ 2 (* (pow y 2) (+ 1 (* 1/12 (pow y 2)))))
(+ 2 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/12 (* 1/360 (pow y 2)))))))
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/24 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/24 (* 1/720 (pow y 2)))))))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (* (pow y 4) (sin x)))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* 1/120 (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)))))
(* 1/120 (* (pow y 5) (sin x)))
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* 1/2 (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))))
(* 2 (+ (exp y) (/ 1 (exp y))))
(+ (exp y) (/ 1 (exp y)))
(* 1/2 (+ (exp y) (/ 1 (exp y))))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))
Calls

6 calls:

TimeVariablePointExpression
38.0ms
y
@0
((/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (sin x) x (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* y y) 1/120) 1/6) (* y y) y 1/120 1/6 1 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ 2 x) (/ (* (sinh y) (sin x)) 2)) (/ 2 x) 2 (/ (* (sinh y) (sin x)) 2) (* (sinh y) (sin x)) (sinh y) (/ (* (/ (sin x) x) (* 2 (sinh (* 2 y)))) (* (* (cosh y) 2) 2)) (* (/ (sin x) x) (* 2 (sinh (* 2 y)))) (* 2 (sinh (* 2 y))) (sinh (* 2 y)) (* 2 y) (* (* (cosh y) 2) 2) (* (cosh y) 2) (cosh y))
26.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (sin x) x (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* y y) 1/120) 1/6) (* y y) y 1/120 1/6 1 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ 2 x) (/ (* (sinh y) (sin x)) 2)) (/ 2 x) 2 (/ (* (sinh y) (sin x)) 2) (* (sinh y) (sin x)) (sinh y) (/ (* (/ (sin x) x) (* 2 (sinh (* 2 y)))) (* (* (cosh y) 2) 2)) (* (/ (sin x) x) (* 2 (sinh (* 2 y)))) (* 2 (sinh (* 2 y))) (sinh (* 2 y)) (* 2 y) (* (* (cosh y) 2) 2) (* (cosh y) 2) (cosh y))
21.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (sin x) x (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* y y) 1/120) 1/6) (* y y) y 1/120 1/6 1 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ 2 x) (/ (* (sinh y) (sin x)) 2)) (/ 2 x) 2 (/ (* (sinh y) (sin x)) 2) (* (sinh y) (sin x)) (sinh y) (/ (* (/ (sin x) x) (* 2 (sinh (* 2 y)))) (* (* (cosh y) 2) 2)) (* (/ (sin x) x) (* 2 (sinh (* 2 y)))) (* 2 (sinh (* 2 y))) (sinh (* 2 y)) (* 2 y) (* (* (cosh y) 2) 2) (* (cosh y) 2) (cosh y))
15.0ms
x
@0
((/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (sin x) x (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* y y) 1/120) 1/6) (* y y) y 1/120 1/6 1 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ 2 x) (/ (* (sinh y) (sin x)) 2)) (/ 2 x) 2 (/ (* (sinh y) (sin x)) 2) (* (sinh y) (sin x)) (sinh y) (/ (* (/ (sin x) x) (* 2 (sinh (* 2 y)))) (* (* (cosh y) 2) 2)) (* (/ (sin x) x) (* 2 (sinh (* 2 y)))) (* 2 (sinh (* 2 y))) (sinh (* 2 y)) (* 2 y) (* (* (cosh y) 2) 2) (* (cosh y) 2) (cosh y))
9.0ms
y
@-inf
((/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (sin x) x (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* y y) 1/120) 1/6) (* y y) y 1/120 1/6 1 (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ 2 x) (/ (* (sinh y) (sin x)) 2)) (/ 2 x) 2 (/ (* (sinh y) (sin x)) 2) (* (sinh y) (sin x)) (sinh y) (/ (* (/ (sin x) x) (* 2 (sinh (* 2 y)))) (* (* (cosh y) 2) 2)) (* (/ (sin x) x) (* 2 (sinh (* 2 y)))) (* 2 (sinh (* 2 y))) (sinh (* 2 y)) (* 2 y) (* (* (cosh y) 2) 2) (* (cosh y) 2) (cosh y))

simplify299.0ms (4.5%)

Memory
-0.1MiB live, 383.2MiB allocated; 133ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04572991
118752621
278782562
082662337
Stop Event
iter limit
node limit
Counts
133 → 131
Calls
Call 1
Inputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* 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)))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(* 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 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ (* -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))))))))
(* 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))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(* 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)))))))))))))
(/ 2 x)
(* 1/4 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/24 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/4 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/24 (- (exp y) (/ 1 (exp y)))) (* 1/480 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/24 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/20160 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/480 (- (exp y) (/ 1 (exp y))))))))))
(* 1/2 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y)))))
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) (+ (exp y) (/ 1 (exp y))))) (* 1/2 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y))))))
(+ (* 1/2 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) (+ (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) (+ (exp y) (/ 1 (exp y))))) (* 1/240 (/ (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))) (+ (exp y) (/ 1 (exp y))))))))))
(- (exp (* 2 y)) (/ 1 (exp (* 2 y))))
(- (+ (exp (* 2 y)) (* -1/6 (* (pow x 2) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (/ 1 (exp (* 2 y))))
(- (+ (exp (* 2 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) (* 1/120 (* (pow x 2) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))))))) (/ 1 (exp (* 2 y))))
(- (+ (exp (* 2 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))))) (* 1/120 (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))))) (/ 1 (exp (* 2 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(sin x)
(/ (* y (sin x)) x)
(/ (sin x) x)
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* 1/4 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (/ (* (sin x) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) (* x (+ (exp y) (/ 1 (exp y))))))
(/ (* (sin x) (- (exp (* 2 y)) (/ 1 (exp (* 2 y))))) x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(+ (* 1/6 (/ (* (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)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(pow y 2)
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(* 1/2 (* y (sin x)))
(* y (+ (* 1/12 (* (pow y 2) (sin x))) (* 1/2 (sin x))))
(* y (+ (* 1/2 (sin x)) (* (pow y 2) (+ (* 1/240 (* (pow y 2) (sin x))) (* 1/12 (sin x))))))
(* y (+ (* 1/2 (sin x)) (* (pow y 2) (+ (* 1/12 (sin x)) (* (pow y 2) (+ (* 1/10080 (* (pow y 2) (sin x))) (* 1/240 (sin 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))))))))
(* y (+ (* 1/2 (* (pow y 2) (- (* 4/3 (/ (sin x) x)) (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 4/15 (/ (sin x) x)) (+ (* 1/12 (/ (sin x) x)) (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))))))) (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 8/315 (/ (sin x) x)) (+ (* 1/360 (/ (sin x) x)) (+ (* 1/24 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))) (* 1/2 (- (* 4/15 (/ (sin x) x)) (+ (* 1/12 (/ (sin x) x)) (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))))))))))) (* 1/2 (- (* 4/15 (/ (sin x) x)) (+ (* 1/12 (/ (sin x) x)) (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x)))))))))) (/ (sin x) x)))
(* 4 (/ (* y (sin x)) x))
(* y (+ (* 8/3 (/ (* (pow y 2) (sin x)) x)) (* 4 (/ (sin x) x))))
(* y (+ (* 4 (/ (sin x) x)) (* (pow y 2) (+ (* 8/15 (/ (* (pow y 2) (sin x)) x)) (* 8/3 (/ (sin x) x))))))
(* y (+ (* 4 (/ (sin x) x)) (* (pow y 2) (+ (* 8/3 (/ (sin x) x)) (* (pow y 2) (+ (* 16/315 (/ (* (pow y 2) (sin x)) x)) (* 8/15 (/ (sin x) x))))))))
(* 4 y)
(* y (+ 4 (* 8/3 (pow y 2))))
(* y (+ 4 (* (pow y 2) (+ 8/3 (* 8/15 (pow y 2))))))
(* y (+ 4 (* (pow y 2) (+ 8/3 (* (pow y 2) (+ 8/15 (* 16/315 (pow y 2))))))))
(* 2 y)
(* y (+ 2 (* 4/3 (pow y 2))))
(* y (+ 2 (* (pow y 2) (+ 4/3 (* 4/15 (pow y 2))))))
(* y (+ 2 (* (pow y 2) (+ 4/3 (* (pow y 2) (+ 4/15 (* 8/315 (pow y 2))))))))
4
(+ 4 (* 2 (pow y 2)))
(+ 4 (* (pow y 2) (+ 2 (* 1/6 (pow y 2)))))
(+ 4 (* (pow y 2) (+ 2 (* (pow y 2) (+ 1/6 (* 1/180 (pow y 2)))))))
2
(+ 2 (pow y 2))
(+ 2 (* (pow y 2) (+ 1 (* 1/12 (pow y 2)))))
(+ 2 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/12 (* 1/360 (pow y 2)))))))
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/24 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/24 (* 1/720 (pow y 2)))))))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (* (pow y 4) (sin x)))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* 1/120 (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)))))
(* 1/120 (* (pow y 5) (sin x)))
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(* 1/2 (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))))
(* 2 (+ (exp y) (/ 1 (exp y))))
(+ (exp y) (/ 1 (exp y)))
(* 1/2 (+ (exp y) (/ 1 (exp y))))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))
Outputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.f64 x x)) (*.f64 x x)))
(* y (+ 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)
(+ (* -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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (*.f64 (*.f64 (*.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) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) (*.f64 x x)))
(+ 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))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y (fma.f64 (*.f64 #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)) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
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))
(pow y 2)
(*.f64 y y)
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y)
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (sin.f64 x))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(* 1/2 (* y (sin x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)
(* y (+ (* 1/12 (* (pow y 2) (sin x))) (* 1/2 (sin x))))
(*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))) y)
(* y (+ (* 1/2 (sin x)) (* (pow y 2) (+ (* 1/240 (* (pow y 2) (sin x))) (* 1/12 (sin x))))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal 1/12 binary64))) (pow.f64 y #s(literal 3 binary64))))
(* y (+ (* 1/2 (sin x)) (* (pow y 2) (+ (* 1/12 (sin x)) (* (pow y 2) (+ (* 1/10080 (* (pow y 2) (sin x))) (* 1/240 (sin x))))))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (sin.f64 x) (*.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 y y) (*.f64 #s(literal 1/12 binary64) (sin.f64 x))) (pow.f64 y #s(literal 3 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 (* (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 (+ (* 1/2 (* (pow y 2) (- (* 4/3 (/ (sin x) x)) (/ (sin x) x)))) (/ (sin x) x)))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 4/15 (/ (sin x) x)) (+ (* 1/12 (/ (sin x) x)) (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))))))) (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))))) (/ (sin x) x)))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 11/60 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) x)))) (*.f64 y y) (-.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) x))) (/.f64 (sin.f64 x) x)) y)
(* y (+ (* (pow y 2) (+ (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 8/315 (/ (sin x) x)) (+ (* 1/360 (/ (sin x) x)) (+ (* 1/24 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))) (* 1/2 (- (* 4/15 (/ (sin x) x)) (+ (* 1/12 (/ (sin x) x)) (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x))))))))))) (* 1/2 (- (* 4/15 (/ (sin x) x)) (+ (* 1/12 (/ (sin x) x)) (* 1/2 (- (* 4/3 (/ (sin x) x)) (/ (sin x) x)))))))))) (/ (sin x) x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 19/840 binary64)) (fma.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 11/60 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) x)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) x))))) (*.f64 y y) (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 11/60 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) x))))) (*.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) x)) #s(literal 1/2 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) y)
(* 4 (/ (* y (sin x)) x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) #s(literal 4 binary64))
(* y (+ (* 8/3 (/ (* (pow y 2) (sin x)) x)) (* 4 (/ (sin x) x))))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (sin.f64 x) (*.f64 #s(literal 8/3 binary64) (*.f64 (*.f64 y (sin.f64 x)) y))) x) y)
(* y (+ (* 4 (/ (sin x) x)) (* (pow y 2) (+ (* 8/15 (/ (* (pow y 2) (sin x)) x)) (* 8/3 (/ (sin x) x))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (sin.f64 x) #s(literal 8/3 binary64) (*.f64 (*.f64 (*.f64 y (sin.f64 x)) y) #s(literal 8/15 binary64))) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) #s(literal 4 binary64)))
(* y (+ (* 4 (/ (sin x) x)) (* (pow y 2) (+ (* 8/3 (/ (sin x) x)) (* (pow y 2) (+ (* 16/315 (/ (* (pow y 2) (sin x)) x)) (* 8/15 (/ (sin x) x))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 8/15 binary64) (*.f64 (*.f64 (*.f64 y (sin.f64 x)) y) #s(literal 16/315 binary64))) x) (*.f64 y y) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) x))) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) #s(literal 4 binary64)))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (+ 4 (* 8/3 (pow y 2))))
(*.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 y y) #s(literal 4 binary64)) y)
(* y (+ 4 (* (pow y 2) (+ 8/3 (* 8/15 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/15 binary64) (*.f64 y y) #s(literal 8/3 binary64)) (*.f64 y y) #s(literal 4 binary64)) y)
(* y (+ 4 (* (pow y 2) (+ 8/3 (* (pow y 2) (+ 8/15 (* 16/315 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/315 binary64) (*.f64 y y) #s(literal 8/15 binary64)) (*.f64 y y) #s(literal 8/3 binary64)) (*.f64 y y) #s(literal 4 binary64)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 4/3 (pow y 2))))
(*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)
(* y (+ 2 (* (pow y 2) (+ 4/3 (* 4/15 (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 4/15 binary64) (*.f64 y y) #s(literal 4/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
(* y (+ 2 (* (pow y 2) (+ 4/3 (* (pow y 2) (+ 4/15 (* 8/315 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/315 binary64) (*.f64 y y) #s(literal 4/15 binary64)) (*.f64 y y) #s(literal 4/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)
4
#s(literal 4 binary64)
(+ 4 (* 2 (pow y 2)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y #s(literal 4 binary64))
(+ 4 (* (pow y 2) (+ 2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 2 binary64)) (*.f64 y y) #s(literal 4 binary64))
(+ 4 (* (pow y 2) (+ 2 (* (pow y 2) (+ 1/6 (* 1/180 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 2 binary64)) (*.f64 y y) #s(literal 4 binary64))
2
#s(literal 2 binary64)
(+ 2 (pow y 2))
(fma.f64 y y #s(literal 2 binary64))
(+ 2 (* (pow y 2) (+ 1 (* 1/12 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 2 binary64))
(+ 2 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/12 (* 1/360 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 y y) #s(literal 1/12 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 2 binary64))
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/24 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/24 (* 1/720 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 1/120 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 5 binary64)))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 1/120 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (* (pow y 4) (sin x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (sin.f64 x))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (pow y 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) y) y)
(* 1/120 (* (pow y 5) (sin x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (sin.f64 x))
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 5 binary64)))
(* 1/2 (- (exp (* 2 y)) (/ 1 (exp (* 2 y)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* 2 (+ (exp y) (/ 1 (exp y))))
(fma.f64 #s(literal 2 binary64) (exp.f64 y) (/.f64 #s(literal 2 binary64) (exp.f64 y)))
(+ (exp y) (/ 1 (exp y)))
(+.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))
(* 1/2 (+ (exp y) (/ 1 (exp y))))
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal -1/120 binary64) (sin.f64 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))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 (/.f64 (sin.f64 x) y) y) (/.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 y #s(literal 4 binary64)))) x)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal -1/120 binary64) (sin.f64 x))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (sin.f64 x) y) (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 y #s(literal 4 binary64))))))

rewrite73.0ms (1.1%)

Memory
16.1MiB live, 109.2MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037270
062264
1189260
01047260
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
33 → 302
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(sin.f64 x)
x
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#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))
(*.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)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64))
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))
(sinh.f64 (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 y) #s(literal 2 binary64))
(cosh.f64 y)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
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(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (pow.f64 (exp.f64 #s(literal 2 binary64)) y)) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) y)) (exp.f64 (*.f64 #s(literal -2 binary64) y)))) (fma.f64 (exp.f64 y) (exp.f64 y) (exp.f64 (*.f64 #s(literal -2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) y)) (exp.f64 (*.f64 #s(literal -2 binary64) y)) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (exp.f64 (*.f64 #s(literal -2 binary64) y))))))
(/.f64 (-.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) (sinh.f64 (*.f64 #s(literal 2 binary64) y))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) (sinh.f64 (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) (sinh.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (fma.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (cosh.f64 y) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (*.f64 (cosh.f64 y) (sinh.f64 y)) #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 y) (sinh.f64 y)) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (exp.f64 (*.f64 #s(literal -2 binary64) y)))
(-.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 y) (sinh.f64 y))))
(+.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (cosh.f64 y))
(*.f64 (*.f64 (cosh.f64 y) (sinh.f64 y)) #s(literal 2 binary64))
(*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 y) (sinh.f64 y)))
(/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 (*.f64 #s(literal 2 binary64) y))
(fma.f64 (cosh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y)))
(fma.f64 (sinh.f64 y) (cosh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y)))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)))
(+.f64 (*.f64 (cosh.f64 y) (sinh.f64 y)) (*.f64 (cosh.f64 y) (sinh.f64 y)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(+.f64 y y)
(*.f64 #s(literal 4 binary64) (cosh.f64 y))
(*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 y) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(fma.f64 (cosh.f64 y) #s(literal 2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 y) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))
(+.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))
(*.f64 (cosh.f64 y) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 y))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 (neg.f64 y)))) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(/.f64 (+.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (-.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 (neg.f64 y))) (*.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) #s(literal 2 binary64))
(+.f64 (exp.f64 (neg.f64 y)) (exp.f64 (neg.f64 (neg.f64 y))))
(+.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))
(+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(+.f64 (cosh.f64 y) (cosh.f64 y))
(/.f64 (neg.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 y)))
(cosh.f64 (neg.f64 y))
(cosh.f64 y)
(+.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))

eval71.0ms (1.1%)

Memory
42.4MiB live, 175.2MiB allocated; 15ms collecting garbage
Compiler

Compiled 17 701 to 2 345 computations (86.8% saved)

prune38.0ms (0.6%)

Memory
-14.9MiB live, 118.2MiB allocated; 23ms collecting garbage
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New61713630
Fresh033
Picked415
Done011
Total62118639
Accuracy
100.0%
Counts
639 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.2%
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))))
88.9%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
77.0%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y)) x)
81.1%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x)
40.4%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
46.5%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
40.4%
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(approx (/ (* (sinh y) (sin x)) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)))
51.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
92.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) y))
63.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y x)))
57.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
37.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
35.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
34.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
26.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
37.7%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
35.9%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Compiler

Compiled 813 to 542 computations (33.3% saved)

simplify0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

series90.0ms (1.4%)

Memory
6.0MiB live, 158.5MiB allocated; 85ms collecting garbage
Counts
33 → 97
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)) x) (sin.f64 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)) x) (sin.f64 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)) 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)) 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)
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 y x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
Outputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(pow x 2)
(/ y x)
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ (* -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))))))))
(* 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))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(* 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)))))))))))))
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(sin x)
(/ (* 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)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(/ 1 x)
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(+ 1 (* 1/6 (pow y 2)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(pow y 2)
(* 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))))))))
(+ (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)))))
(* 1/120 (pow y 2))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (pow y 4) x))
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (* (pow y 5) (sin x)))
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin 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 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))
Calls

6 calls:

TimeVariablePointExpression
62.0ms
y
@0
((/ (* (sin x) (sinh y)) x) (* (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) y) (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) 1/120 (* y y) y 1/6 1 x (sin x) (/ (* (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) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) (* x x) (/ (* (sin x) (sinh y)) x) (* (sin x) (/ y x)) (/ y x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* y y) 1/120) 1/6) (* 1/120 (* y y)))
11.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (* (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) y) (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) 1/120 (* y y) y 1/6 1 x (sin x) (/ (* (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) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) (* x x) (/ (* (sin x) (sinh y)) x) (* (sin x) (/ y x)) (/ y x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* y y) 1/120) 1/6) (* 1/120 (* y y)))
5.0ms
x
@-inf
((/ (* (sin x) (sinh y)) x) (* (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) y) (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) 1/120 (* y y) y 1/6 1 x (sin x) (/ (* (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) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) (* x x) (/ (* (sin x) (sinh y)) x) (* (sin x) (/ y x)) (/ y x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* y y) 1/120) 1/6) (* 1/120 (* y y)))
4.0ms
y
@-inf
((/ (* (sin x) (sinh y)) x) (* (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) y) (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) 1/120 (* y y) y 1/6 1 x (sin x) (/ (* (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) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) (* x x) (/ (* (sin x) (sinh y)) x) (* (sin x) (/ y x)) (/ y x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* y y) 1/120) 1/6) (* 1/120 (* y y)))
4.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (* (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) y) (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (+ (* 1/120 (* y y)) 1/6) 1/120 (* y y) y 1/6 1 x (sin x) (/ (* (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) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) (* x x) (/ (* (sin x) (sinh y)) x) (* (sin x) (/ y x)) (/ y x) (/ (* (sin x) (sinh y)) x) (* (sin x) (sinh y)) (* (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (+ (* (* y y) 1/120) 1/6) (* 1/120 (* y y)))

simplify165.0ms (2.5%)

Memory
-9.1MiB live, 319.6MiB allocated; 31ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631947
110011709
244031529
083791396
Stop Event
iter limit
node limit
Counts
97 → 95
Calls
Call 1
Inputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
y
(+ y (* -1/6 (* (pow x 2) y)))
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(pow x 2)
(/ y x)
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ (* -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))))))))
(* 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))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(* 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)))))))))))))
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(sin x)
(/ (* 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)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))
(/ 1 x)
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(+ 1 (* 1/6 (pow y 2)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(pow y 2)
(* 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))))))))
(+ (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)))))
(* 1/120 (pow y 2))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (pow y 4) x))
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (* (pow y 5) (sin x)))
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin 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 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))
Outputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
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(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) x) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 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))
(* 1/120 (* (pow y 5) (sin x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (sin.f64 x))
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(*.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(*.f64 (fma.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(* 1/120 (* (pow y 4) (sin x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (sin.f64 x))
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))
(*.f64 (*.f64 (sin.f64 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)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))
(*.f64 (fma.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))
(*.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))
(*.f64 (fma.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))

rewrite193.0ms (2.9%)

Memory
-1.3MiB live, 270.9MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041383
065377
1210377
21212377
08270377
Stop Event
iter limit
node limit
iter limit
Counts
33 → 524
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)) x) (sin.f64 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)) x) (sin.f64 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)) 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)) 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)
x
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 y x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y))
(*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) (sin.f64 x)))
(*.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)
(*.f64 (sin.f64 x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y))
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 x) y))
(*.f64 y (*.f64 (sin.f64 x) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal -1 binary64)) (*.f64 (sin.f64 x) y))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 y (*.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))))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) x)
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal -1 binary64)) (*.f64 (sin.f64 x) y)) (neg.f64 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) y)) x)
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) x)
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal -1 binary64)) (*.f64 (sin.f64 x) y)) x))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal -1 binary64)) x)))
(neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal -1 binary64)) x) (*.f64 (sin.f64 x) y)))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (sin.f64 x)) y (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) y))
(fma.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) y (*.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))) y))
(fma.f64 (*.f64 (sin.f64 x) y) (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (sin.f64 x) y) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))))
(fma.f64 (*.f64 (sin.f64 x) y) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (*.f64 (*.f64 (sin.f64 x) y) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (sin.f64 x) y) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (*.f64 (sin.f64 x) y)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (*.f64 (sin.f64 x) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (sin.f64 x) y)))
(fma.f64 y (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (sin.f64 x)) (*.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x))))
(fma.f64 y (*.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 y (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (sin.f64 x) y)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (*.f64 (sin.f64 x) y)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (*.f64 (sin.f64 x) y)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (sin.f64 x) y)))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (sin.f64 x)) y) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) y))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) y) (*.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))) y))
(+.f64 (*.f64 (*.f64 (sin.f64 x) y) (pow.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 (sin.f64 x) y) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))))
(+.f64 (*.f64 (*.f64 (sin.f64 x) y) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 (*.f64 (sin.f64 x) y) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (sin.f64 x))) (*.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x))))
(+.f64 (*.f64 y (*.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)))) (*.f64 y (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 (/.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 (*.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))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (sin.f64 x))) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)))) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))) (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))))) (-.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (sin.f64 x)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)) (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (-.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))) (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64)))))))
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(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))))))
(+.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 y) #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) y))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y)))
#s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(*.f64 (fabs.f64 (*.f64 #s(literal -1/120 binary64) y)) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y)
(*.f64 (*.f64 #s(literal -1/120 binary64) y) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y)
(*.f64 (neg.f64 y) (*.f64 #s(literal -1/120 binary64) y))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(*.f64 y (fabs.f64 (*.f64 #s(literal -1/120 binary64) y)))
(*.f64 y (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)))
(*.f64 y (*.f64 #s(literal 1/120 binary64) y))
(neg.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)))
(fabs.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))
(fabs.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))

eval252.0ms (3.8%)

Memory
-23.6MiB live, 353.9MiB allocated; 160ms collecting garbage
Compiler

Compiled 39 654 to 4 927 computations (87.6% saved)

prune49.0ms (0.7%)

Memory
11.7MiB live, 158.7MiB allocated; 17ms collecting garbage
Pruning

30 alts after pruning (23 fresh and 7 done)

PrunedKeptTotal
New986171 003
Fresh5611
Picked055
Done022
Total991301 021
Accuracy
100.0%
Counts
1 021 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.2%
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))))
88.9%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
77.0%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 y (sin.f64 x)))) x)
69.4%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x)
81.1%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x)
40.4%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
46.5%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
51.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
91.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (sin.f64 x)) y))
92.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) y))
51.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (*.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 (*.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 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) x)) (sin.f64 x)) y))
51.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) (sin.f64 x)) y))
63.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))
48.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (sqrt.f64 (*.f64 x x)))))
63.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y x)))
57.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
37.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
27.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y)))
35.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
34.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
3.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))))
1.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))))
15.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
37.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))
16.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
26.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
56.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.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)))) y))
37.7%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
35.9%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Compiler

Compiled 1 395 to 894 computations (35.9% saved)

simplify0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

series54.0ms (0.8%)

Memory
-13.6MiB live, 76.2MiB allocated; 12ms collecting garbage
Counts
37 → 94
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (sin.f64 x)) y))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (sin.f64 x)) y)
(*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (sin.f64 x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(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)
(/.f64 y x)
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(sqrt.f64 y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.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)))) y))
(*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.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)))) y)
#s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (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)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (sqrt.f64 (*.f64 x x)))))
(*.f64 (sin.f64 x) (/.f64 y (sqrt.f64 (*.f64 x x))))
(/.f64 y (sqrt.f64 (*.f64 x x)))
(sqrt.f64 (*.f64 x x))
Outputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x)
(sqrt (/ 1 x))
x
(/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) x)
(/ 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))))
(fabs y)
(+ (fabs y) (* -1/6 (* (pow x 2) (fabs y))))
(+ (fabs y) (* (pow x 2) (+ (* -1/6 (fabs y)) (* 1/120 (* (pow x 2) (fabs y))))))
(+ (fabs y) (* (pow x 2) (+ (* -1/6 (fabs y)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (fabs y))) (* 1/120 (fabs y)))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
y
(+ 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))))))
(pow x 2)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(sin x)
(/ (* (fabs y) (sin x)) x)
(/ (sin x) x)
(/ (* y (sin x)) x)
(* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1 (/ (* y (* (sin x) (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (* (sin x) (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2)) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (/ (* y (sin x)) x))
(* -1 (/ y x))
(* -1 x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(+ (* 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))
(/ 1 x)
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(* 1/6 (/ (pow y 2) x))
(* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x))))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(pow y 2)
(sqrt y)
(+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))))
(+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))) (* 1/6 (+ 1 (* -1/6 (pow x 2))))))))
(+ 1 (* 1/6 (pow y 2)))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (pow y 4) x))
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (* (pow y 4) (+ 1 (* -1/6 (pow x 2)))))
(* (pow y 4) (+ (* 1/120 (+ 1 (* -1/6 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/6 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (/ 1 (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 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* -1 (/ (* y (* (sin x) (pow (sqrt -1) 2))) x))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
Calls

6 calls:

TimeVariablePointExpression
24.0ms
y
@-inf
((/ (* (sin x) (sinh y)) x) (* (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (sin x)) y) (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (sin x)) (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (pow x -1/2) x -1/2 (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x)) (* (+ (* (* y y) 1/120) 1/6) y) (+ (* (* y y) 1/120) 1/6) (* y y) y 1/120 1/6 (/ y x) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (fabs y)) (/ (sin x) x) 1 (fabs y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (* (sqrt y) (sqrt y)) (sqrt y) (/ (* (sin x) (sinh y)) x) (* (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) y) (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (* (+ (* -1/6 (* x x)) 1) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (/ y (sqrt (* x x)))) (/ y (sqrt (* x x))) (sqrt (* x x)))
8.0ms
x
@-inf
((/ (* (sin x) (sinh y)) x) (* (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (sin x)) y) (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (sin x)) (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (pow x -1/2) x -1/2 (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x)) (* (+ (* (* y y) 1/120) 1/6) y) (+ (* (* y y) 1/120) 1/6) (* y y) y 1/120 1/6 (/ y x) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (fabs y)) (/ (sin x) x) 1 (fabs y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (* (sqrt y) (sqrt y)) (sqrt y) (/ (* (sin x) (sinh y)) x) (* (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) y) (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (* (+ (* -1/6 (* x x)) 1) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (/ y (sqrt (* x x)))) (/ y (sqrt (* x x))) (sqrt (* x x)))
7.0ms
x
@inf
((/ (* (sin x) (sinh y)) x) (* (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (sin x)) y) (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (sin x)) (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (pow x -1/2) x -1/2 (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x)) (* (+ (* (* y y) 1/120) 1/6) y) (+ (* (* y y) 1/120) 1/6) (* y y) y 1/120 1/6 (/ y x) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (fabs y)) (/ (sin x) x) 1 (fabs y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (* (sqrt y) (sqrt y)) (sqrt y) (/ (* (sin x) (sinh y)) x) (* (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) y) (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (* (+ (* -1/6 (* x x)) 1) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (/ y (sqrt (* x x)))) (/ y (sqrt (* x x))) (sqrt (* x x)))
5.0ms
y
@inf
((/ (* (sin x) (sinh y)) x) (* (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (sin x)) y) (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (sin x)) (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (pow x -1/2) x -1/2 (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x)) (* (+ (* (* y y) 1/120) 1/6) y) (+ (* (* y y) 1/120) 1/6) (* y y) y 1/120 1/6 (/ y x) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (fabs y)) (/ (sin x) x) 1 (fabs y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (* (sqrt y) (sqrt y)) (sqrt y) (/ (* (sin x) (sinh y)) x) (* (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) y) (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (* (+ (* -1/6 (* x x)) 1) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (/ y (sqrt (* x x)))) (/ y (sqrt (* x x))) (sqrt (* x x)))
4.0ms
x
@0
((/ (* (sin x) (sinh y)) x) (* (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (sin x)) y) (* (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (sin x)) (+ (* (pow x -1/2) (pow x -1/2)) (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x))) (pow x -1/2) x -1/2 (* (* (+ (* (* y y) 1/120) 1/6) y) (/ y x)) (* (+ (* (* y y) 1/120) 1/6) y) (+ (* (* y y) 1/120) 1/6) (* y y) y 1/120 1/6 (/ y x) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (fabs y)) (/ (sin x) x) 1 (fabs y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (* (sqrt y) (sqrt y)) (sqrt y) (/ (* (sin x) (sinh y)) x) (* (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) y) (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (* (+ (* -1/6 (* x x)) 1) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (sin x) (/ y (sqrt (* x x)))) (/ y (sqrt (* x x))) (sqrt (* x x)))

simplify206.0ms (3.1%)

Memory
9.1MiB live, 351.7MiB allocated; 76ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02811574
110441396
246901313
081461201
Stop Event
iter limit
node limit
Counts
94 → 92
Calls
Call 1
Inputs
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x)
(sqrt (/ 1 x))
x
(/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) x)
(/ 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))))
(fabs y)
(+ (fabs y) (* -1/6 (* (pow x 2) (fabs y))))
(+ (fabs y) (* (pow x 2) (+ (* -1/6 (fabs y)) (* 1/120 (* (pow x 2) (fabs y))))))
(+ (fabs y) (* (pow x 2) (+ (* -1/6 (fabs y)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (fabs y))) (* 1/120 (fabs y)))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
y
(+ 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))))))
(pow x 2)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(sin x)
(/ (* (fabs y) (sin x)) x)
(/ (sin x) x)
(/ (* y (sin x)) x)
(* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1 (/ (* y (* (sin x) (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (* (sin x) (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2))) x))
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2)) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (/ (* y (sin x)) x))
(* -1 (/ y x))
(* -1 x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))
(+ (* 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))
(/ 1 x)
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(* 1/6 (/ (pow y 2) x))
(* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x))))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(pow y 2)
(sqrt y)
(+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))))
(+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))) (* 1/6 (+ 1 (* -1/6 (pow x 2))))))))
(+ 1 (* 1/6 (pow y 2)))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(* 1/120 (/ (pow y 4) x))
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (* (pow y 4) (+ 1 (* -1/6 (pow x 2)))))
(* (pow y 4) (+ (* 1/120 (+ 1 (* -1/6 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/6 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (/ 1 (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 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(* -1 (/ (* y (* (sin x) (pow (sqrt -1) 2))) x))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 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))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))
(fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))
(*.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 (*.f64 x x) #s(literal 1/120 binary64)))))
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 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))) 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)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 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 y 2) (+ 1/6 (* 1/120 (pow y 2))))) x)
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
x
(/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) x)
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) y) y)
(/ y x)
(/.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)) (-.f64 (*.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)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x)
(fabs y)
(fabs.f64 y)
(+ (fabs y) (* -1/6 (* (pow x 2) (fabs y))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 y))
(+ (fabs y) (* (pow x 2) (+ (* -1/6 (fabs y)) (* 1/120 (* (pow x 2) (fabs y))))))
(fma.f64 (*.f64 (fabs.f64 y) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fabs.f64 y))
(+ (fabs y) (* (pow x 2) (+ (* -1/6 (fabs y)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (fabs y))) (* 1/120 (fabs y)))))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fabs.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fabs.f64 y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
y
(+ y (* -1/6 (* (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)) #s(literal 1/2 binary64))
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (sin.f64 x)) x)
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(sin x)
(sin.f64 x)
(/ (* (fabs y) (sin x)) x)
(*.f64 (fabs.f64 y) (/.f64 (sin.f64 x) x))
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (* y (sin x)) x)
(*.f64 (/.f64 (sin.f64 x) x) y)
(* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 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))) x) x)
(* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (/.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) x)) x) x)
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) x) x)
(* -1 (/ (* y (* (sin x) (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2)))) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (sin.f64 x)) x)
(* -1 (/ (* (sin x) (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2))) x))
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x))
(* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow (sqrt -1) 2)) x))
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (* y (sin x)) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 x)
(neg.f64 x)
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) 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 (+.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) y)
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) 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))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) x)
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* 1/6 (/ (pow y 2) x))
(*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/6 binary64))
(* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x))))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) y) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(pow y 2)
(*.f64 y y)
(sqrt y)
(sqrt.f64 y)
(+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))) (* 1/6 (+ 1 (* -1/6 (pow x 2))))))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(* 1/120 (/ (* (pow y 5) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64)))
(* 1/120 (/ (* (pow y 4) (sin x)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x))
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))
(*.f64 (*.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)))
(* 1/120 (/ (pow y 4) x))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64))
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) x) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) x) (/.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/120 binary64))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) y) y)
(* 1/120 (* (pow y 4) (+ 1 (* -1/6 (pow x 2)))))
(*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/120 (+ 1 (* -1/6 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.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) (+ (* -1/6 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/6 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 y #s(literal 4 binary64))) x)))
(* -1 (/ (* y (* (sin x) (pow (sqrt -1) 2))) x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(* -1 (* y (pow (sqrt -1) 2)))
y
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))

rewrite246.0ms (3.7%)

Memory
-14.1MiB live, 364.9MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049411
079368
1268354
21488354
08558354
Stop Event
iter limit
node limit
iter limit
Counts
37 → 927
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (sin.f64 x)) y))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (sin.f64 x)) y)
(*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (sin.f64 x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(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)
(/.f64 y x)
(sin.f64 x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(sqrt.f64 y)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.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)))) y))
(*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.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)))) y)
#s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (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)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (sqrt.f64 (*.f64 x x)))))
(*.f64 (sin.f64 x) (/.f64 y (sqrt.f64 (*.f64 x x))))
(/.f64 y (sqrt.f64 (*.f64 x x)))
(sqrt.f64 (*.f64 x x))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal -1 binary64)) x)))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal -1 binary64)) x)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal -1 binary64)) x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y)
(*.f64 (sin.f64 x) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal -1 binary64)) x) y))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal -1 binary64)) x) (*.f64 (sin.f64 x) y))
(*.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) y))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal -1 binary64)) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (*.f64 (sin.f64 x) y))) (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal -1 binary64)) x) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64))) (*.f64 (sin.f64 x) y)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal -1 binary64)) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (*.f64 (sin.f64 x) y)) (fma.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal -1 binary64)) x) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal -1 binary64)) x) (sin.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x))) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)))) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))) (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 (sin.f64 x) (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 (sin.f64 x) (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))) (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x))) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (sin.f64 x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))) (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 (sin.f64 x) (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64))) (*.f64 (sin.f64 x) (*.f64 (*.f64 (/.f64 y x) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))))))))
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(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))))
(+.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 (/.f64 y x) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) y))) x)
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) x)
(/.f64 (*.f64 (sin.f64 x) y) x)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (neg.f64 (sqrt.f64 (/.f64 y x))))
(*.f64 (fabs.f64 (sqrt.f64 (/.f64 y x))) (fabs.f64 (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (fabs.f64 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 y x)
(neg.f64 (/.f64 y x))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y x))
(exp.f64 (-.f64 (log.f64 y) (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
x

eval342.0ms (5.2%)

Memory
46.4MiB live, 514.9MiB allocated; 77ms collecting garbage
Compiler

Compiled 73 787 to 8 001 computations (89.2% saved)

prune125.0ms (1.9%)

Memory
2.1MiB live, 146.7MiB allocated; 25ms collecting garbage
Pruning

33 alts after pruning (26 fresh and 7 done)

PrunedKeptTotal
New1 549141 563
Fresh61218
Picked415
Done167
Total1 560331 593
Accuracy
100.0%
Counts
1 593 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
77.0%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 y (sin.f64 x)))) x)
81.1%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x)
40.4%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x)
46.5%
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
40.3%
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x)))
57.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))))
51.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
52.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)))
92.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) y))
51.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) (sin.f64 x)) y))
37.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 (+.f64 x (PI.f64))) (/.f64 y (sqrt.f64 (*.f64 x x)))))
63.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))
57.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
37.7%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
35.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
34.6%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
22.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y)))
3.2%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))))
1.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))))
15.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
1.8%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
37.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))
26.4%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
36.1%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)))) y))
27.9%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))))) (*.f64 y y) #s(literal 1 binary64)))) y))
53.5%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 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))
29.0%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))))) y))
45.3%
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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))
37.7%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
35.9%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
27.7%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fma.f64 (*.f64 (fabs.f64 y) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fabs.f64 y))))
16.5%
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
Compiler

Compiled 2 469 to 925 computations (62.5% saved)

regimes90.0ms (1.4%)

Memory
-37.4MiB live, 109.1MiB allocated; 27ms collecting garbage
Counts
53 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
#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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#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))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (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 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.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) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fma.f64 (*.f64 (fabs.f64 y) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fabs.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.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)))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y 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 (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) (sin.f64 x)) y))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(approx (/ (* (sinh y) (sin x)) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (sqrt.f64 (*.f64 x x)))))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 y (sin.f64 x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 (+.f64 x (PI.f64))) (/.f64 y (sqrt.f64 (*.f64 x x)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))))) (*.f64 y y) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (*.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 (*.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 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) x)) (sin.f64 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) (sinh.f64 y)) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (/.f64 y x))) (sin.f64 x)) y))
Outputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Calls

4 calls:

22.0ms
x
20.0ms
(sinh.f64 y)
14.0ms
y
12.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
99.9%3(sinh.f64 y)
99.9%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
98.0%2x
99.9%3y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes88.0ms (1.3%)

Memory
15.2MiB live, 104.0MiB allocated; 14ms collecting garbage
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
#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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#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))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (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 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.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) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fma.f64 (*.f64 (fabs.f64 y) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fabs.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.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)))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y 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 (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) (sin.f64 x)) y))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(approx (/ (* (sinh y) (sin x)) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (sqrt.f64 (*.f64 x x)))))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 y (sin.f64 x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 (+.f64 x (PI.f64))) (/.f64 y (sqrt.f64 (*.f64 x x)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))))
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))))) (*.f64 y y) #s(literal 1 binary64)))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (*.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 (*.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 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) x)) (sin.f64 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 (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))
Calls

4 calls:

37.0ms
x
25.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
13.0ms
y
11.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
92.4%1x
92.4%1(sinh.f64 y)
92.4%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
92.4%1y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes73.0ms (1.1%)

Memory
-1.7MiB live, 92.8MiB allocated; 22ms collecting garbage
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
#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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#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))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (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 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.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) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fma.f64 (*.f64 (fabs.f64 y) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fabs.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.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)))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y 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 (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) (sin.f64 x)) y))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(approx (/ (* (sinh y) (sin x)) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (sqrt.f64 (*.f64 x x)))))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 y (sin.f64 x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 (+.f64 x (PI.f64))) (/.f64 y (sqrt.f64 (*.f64 x x)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x)
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x)
Calls

4 calls:

38.0ms
y
14.0ms
(sinh.f64 y)
10.0ms
x
8.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
92.1%3(sinh.f64 y)
92.1%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
95.9%5y
92.3%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes25.0ms (0.4%)

Memory
12.3MiB live, 56.2MiB allocated; 7ms collecting garbage
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
#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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#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))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (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 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.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) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fma.f64 (*.f64 (fabs.f64 y) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fabs.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.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)))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y 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 (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) (sin.f64 x)) y))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(approx (/ (* (sinh y) (sin x)) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (sqrt.f64 (*.f64 x x)))))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 y (sin.f64 x)))) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 (+.f64 x (PI.f64))) (/.f64 y (sqrt.f64 (*.f64 x x)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y)) x)
Calls

2 calls:

13.0ms
y
10.0ms
x
Results
AccuracySegmentsBranch
94.5%5y
90.6%2x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes48.0ms (0.7%)

Memory
-19.3MiB live, 92.0MiB allocated; 28ms collecting garbage
Counts
33 → 4
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
#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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#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))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (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 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.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) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fma.f64 (*.f64 (fabs.f64 y) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fabs.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.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)))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y 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 (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) (sin.f64 x)) y))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(approx (/ (* (sinh y) (sin x)) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y (sqrt.f64 (*.f64 x x)))))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 (sin.f64 x) x) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) 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))
Calls

4 calls:

16.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
13.0ms
x
9.0ms
y
8.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
87.8%4y
83.5%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
85.0%3(sinh.f64 y)
70.6%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes10.0ms (0.1%)

Memory
14.0MiB live, 14.1MiB allocated; 0ms collecting garbage
Counts
28 → 4
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
#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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#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))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (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 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.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) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fma.f64 (*.f64 (fabs.f64 y) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fabs.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.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)))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y x)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 (sin.f64 x) (/.f64 y x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) 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))
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
87.7%4y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes89.0ms (1.4%)

Memory
-18.6MiB live, 113.5MiB allocated; 17ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
#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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#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))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (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 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.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) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fma.f64 (*.f64 (fabs.f64 y) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) (fabs.f64 y))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.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)))) y))
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 #s(approx (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) y)) x)
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y)))))) y))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))
Calls

4 calls:

36.0ms
x
27.0ms
(sinh.f64 y)
18.0ms
y
6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
65.3%2x
57.2%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
62.3%3(sinh.f64 y)
64.9%4y
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes14.0ms (0.2%)

Memory
41.3MiB live, 41.3MiB allocated; 0ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
#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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#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))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (* (sqrt y) (sqrt y))) (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y)))
#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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))
Calls

4 calls:

4.0ms
y
3.0ms
x
3.0ms
(sinh.f64 y)
3.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
52.0%3(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
49.5%2(sinh.f64 y)
49.5%2y
45.2%2x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes46.0ms (0.7%)

Memory
-33.2MiB live, 16.2MiB allocated; 22ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
#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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
#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))) (fabs.f64 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))) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
Calls

4 calls:

38.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
2.0ms
x
2.0ms
y
2.0ms
(sinh.f64 y)
Results
AccuracySegmentsBranch
34.6%1x
34.6%1y
34.6%1(sinh.f64 y)
38.2%2(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes4.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
#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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y))
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))
Calls

2 calls:

2.0ms
(sinh.f64 y)
2.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
34.6%1(sinh.f64 y)
34.6%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
#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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (fabs.f64 y)))
Outputs
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y))
Calls

4 calls:

2.0ms
x
2.0ms
y
1.0ms
(sinh.f64 y)
1.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
26.4%1x
26.4%1y
26.4%1(sinh.f64 y)
26.4%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes5.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
y
1.0ms
x
1.0ms
(sinh.f64 y)
1.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Results
AccuracySegmentsBranch
16.5%1y
16.5%1(sinh.f64 y)
16.5%1(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
16.5%1x
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch38.0ms (0.6%)

Memory
-20.3MiB live, 25.8MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
9.0ms
3.609331251618191e-42
1.00117822668121e-41
28.0ms
-8.764804591748303e-15
-1.6382082850604616e-15
Samples
8.0ms112×0valid
Compiler

Compiled 157 to 137 computations (12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 3.0ms (54.5% of total)
ival-div: 1.0ms (18.2% of total)
ival-mult: 1.0ms (18.2% of total)
ival-sinh: 1.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.3%)

Memory
-10.7MiB live, 29.6MiB allocated; 11ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
4.263649826328699e-39
3.387402348834982e-36
Samples
7.0ms128×0valid
Compiler

Compiled 578 to 395 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (25.2% of total)
ival-mult: 1.0ms (25.2% of total)
ival-sin: 1.0ms (25.2% of total)
ival-sinh: 1.0ms (25.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
4.220442227338925e-10
1.2491746126077047e-9
Samples
1.0ms16×0valid
Compiler

Compiled 69 to 52 computations (24.6% saved)

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

bsearch42.0ms (0.6%)

Memory
39.7MiB live, 83.8MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
9.750362476304093e+128
4.5132299200032394e+131
18.0ms
26.42340975476753
696.2502831440735
17.0ms
-8.68820249603301e-6
-1.3350452380262862e-13
Samples
22.0ms288×0valid
Compiler

Compiled 1 394 to 905 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 8.0ms (52.5% of total)
ival-sinh: 3.0ms (19.7% of total)
ival-div: 2.0ms (13.1% of total)
ival-mult: 2.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
-51.1MiB live, 8.0MiB allocated; 16ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
9.750362476304093e+128
4.5132299200032394e+131
1.0ms
26.42340975476753
696.2502831440735
12.0ms
-8.68820249603301e-6
-1.3350452380262862e-13
Compiler

Compiled 1 394 to 905 computations (35.1% saved)

bsearch15.0ms (0.2%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
2.1783132700426025e+42
2.5145619511875056e+44
Samples
9.0ms112×0valid
Compiler

Compiled 423 to 291 computations (31.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 4.0ms (62.7% of total)
ival-div: 1.0ms (15.7% of total)
ival-mult: 1.0ms (15.7% of total)
ival-sinh: 1.0ms (15.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.543053704804997e-214
4.208658664913565e-206
0.0ms
-inf
-6419769.734810362
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-6419769.734810362
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify58.0ms (0.9%)

Memory
-1.1MiB live, 44.2MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122814
1187814
2359814
31068814
44154814
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -6338253001141147/1267650600228229401496703205376 binary64)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (if (<=.f64 y #s(literal 2236217493231505/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) y))
(if (<=.f64 x #s(literal 4938706332868587/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x))
(if (<=.f64 x #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y)) x))
(if (<=.f64 y #s(literal -2508757194024499/295147905179352825856 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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)) (if (<=.f64 y #s(literal 540 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (if (<=.f64 y #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) 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)))))
(if (<=.f64 y #s(literal -2508757194024499/295147905179352825856 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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)) (if (<=.f64 y #s(literal 540 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y x))) (if (<=.f64 y #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) 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)))))
(if (<=.f64 x #s(literal 20000000000000000278744233918828198261424128 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1516130949512411/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(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) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))
Outputs
(if (<=.f64 y #s(literal -6338253001141147/1267650600228229401496703205376 binary64)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) (if (<=.f64 y #s(literal 2236217493231505/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))
(if (or (<=.f64 y #s(literal -6338253001141147/1267650600228229401496703205376 binary64)) (not (<=.f64 y #s(literal 2236217493231505/392318858461667547739736838950479151006397215279002157056 binary64)))) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) y))
(if (<=.f64 x #s(literal 4938706332868587/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) y)) x))
(if (<=.f64 x #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) y)) x))
(if (<=.f64 y #s(literal -2508757194024499/295147905179352825856 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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)) (if (<=.f64 y #s(literal 540 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (if (<=.f64 y #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) 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)))))
(if (<=.f64 y #s(literal -2508757194024499/295147905179352825856 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1/6 binary64)) 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)) (if (<=.f64 y #s(literal 540 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) (if (<=.f64 y #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) 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)))))
(if (<=.f64 y #s(literal -2508757194024499/295147905179352825856 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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)) (if (<=.f64 y #s(literal 540 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y x))) (if (<=.f64 y #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) x) (sin x)) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) 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)))))
(if (<=.f64 y #s(literal -2508757194024499/295147905179352825856 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1/6 binary64)) 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)) (if (<=.f64 y #s(literal 540 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (sin.f64 x) (/.f64 y x))) (if (<=.f64 y #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal 1/6 binary64)) 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 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) 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)))))
(if (<=.f64 x #s(literal 20000000000000000278744233918828198261424128 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 #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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y)))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1516130949512411/1516130949512411069481425281701662651618052751090524034315480505884815383482789928057498446121725076123523174508917063677901933636830873429144811792032403456254350562520361235888930942999607856274670897650113739014543795755679744 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 #s(approx (/ (sin x) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y y))))))
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 y))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)))
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(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) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) (fabs y)) (fabs.f64 y)))

derivations1.1s (17.4%)

Memory
8.5MiB live, 1 198.5MiB allocated; 214ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041383
065377
1210377
21212377
08270377
02631947
110011709
244031529
083791396
04572991
118752621
278782562
082662337
037270
062264
1189260
01047260
0113506
1434438
21692406
35247404
08163370
02811574
110441396
246901313
081461201
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 814 to 122 computations (85% saved)

preprocess105.0ms (1.6%)

Memory
18.0MiB live, 200.2MiB allocated; 49ms collecting garbage
Remove

(abs x)

Compiler

Compiled 1 716 to 308 computations (82.1% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...