Linear.Quaternion:$ccos from linear-1.19.1.3

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.2%)

Memory
12.7MiB live, 12.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (17.2%)

Memory
-188.4MiB live, 716.8MiB allocated
Samples
927.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 429.0ms
ival-sin: 234.0ms (54.5% of total)
ival-mult: 72.0ms (16.8% of total)
ival-div: 65.0ms (15.1% of total)
ival-sinh: 50.0ms (11.6% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain111.0ms (1.6%)

Memory
-0.3MiB live, 123.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sinh.f64 y)
00-0-(/.f64 (sinh.f64 y) y)
00-0-y
00-0-(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
00-0-(sin.f64 x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
49.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sin: 26.0ms (71.9% of total)
ival-div: 4.0ms (11.1% of total)
ival-mult: 3.0ms (8.3% of total)
ival-sinh: 3.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess201.0ms (2.8%)

Memory
-18.0MiB live, 214.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01843
15039
214839
337439
4147339
067
0107
1197
2377
3827
43017
518087
654697
083987
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify154.0ms (2.2%)

Memory
7.9MiB live, 201.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 y)
cost-diff0
(/.f64 (sinh.f64 y) y)
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
11917
23717
38217
430117
5180817
6546917
0839817
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(sin.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize22.0ms (0.3%)

Memory
21.7MiB live, 21.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sinh.f64 y)
accuracy0.0
(sin.f64 x)
accuracy0.00390625
(/.f64 (sinh.f64 y) y)
accuracy0.0078125
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Samples
16.0ms256×0valid
Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 5.0ms (51.1% of total)
ival-div: 2.0ms (20.4% of total)
ival-mult: 1.0ms (10.2% of total)
ival-sinh: 1.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series71.0ms (1%)

Memory
-22.5MiB live, 36.1MiB allocated
Counts
4 → 23
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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)))) y))
(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)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
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))))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (- (exp y) (/ 1 (exp y))))
Calls

6 calls:

TimeVariablePointExpression
63.0ms
y
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))
2.0ms
y
@inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))
1.0ms
y
@0
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))
1.0ms
x
@inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))
1.0ms
x
@0
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (sinh y))

simplify143.0ms (2%)

Memory
10.1MiB live, 165.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092363
1343350
21293306
34122300
08359272
Stop Event
iter limit
node limit
Counts
23 → 21
Calls
Call 1
Inputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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)))) y))
(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)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
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))))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (- (exp y) (/ 1 (exp y))))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 (/.f64 x 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))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))) y)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(*.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.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))) (pow.f64 x #s(literal 4 binary64)))) 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)))) y))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin 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 x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (sin.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (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 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
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)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))

rewrite208.0ms (2.9%)

Memory
-16.7MiB live, 247.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
12115
27215
342215
4577615
0817215
Stop Event
iter limit
node limit
iter limit
Counts
4 → 171
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sin.f64 x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
Outputs
(*.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) y) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) (/.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (sinh.f64 (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) y))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 (neg.f64 y)) y))
(*.f64 (/.f64 (sinh.f64 (neg.f64 y)) y) (neg.f64 (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))
(*.f64 (sinh.f64 (neg.f64 y)) (/.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) y) (sin.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (sin.f64 x) y)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (sinh.f64 y)) y) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 (sin.f64 x) (neg.f64 y))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (/.f64 (sin.f64 x) (neg.f64 y))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (cosh.f64 y) (sinh.f64 y)) (/.f64 (sin.f64 x) y)) (cosh.f64 y))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -3 binary64))) (/.f64 (sin.f64 x) y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (exp.f64 y))) (/.f64 (sin.f64 x) y)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 (sin.f64 x) y)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (/.f64 (sin.f64 x) y)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (cosh.f64 y) (sinh.f64 y)) (sin.f64 x)) (*.f64 (cosh.f64 y) y))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -3 binary64))) (sin.f64 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) y))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (exp.f64 y))) (sin.f64 x)) (*.f64 #s(literal 4 binary64) y))
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -2 binary64)) (sinh.f64 y)) (*.f64 #s(literal -2 binary64) y))
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(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(neg.f64 (sinh.f64 (neg.f64 y)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (cosh.f64 y) #s(literal 3 binary64))))) (cosh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) (*.f64 (cosh.f64 y) (sinh.f64 y)))))) (*.f64 (cosh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (cosh.f64 y) #s(literal 3 binary64))))) (sinh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) (*.f64 (cosh.f64 y) (sinh.f64 y)))))))
(-.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 y)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 y))))
(-.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (cosh.f64 y) #s(literal 2 binary64))) (/.f64 (sinh.f64 y) #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -2 binary64)) (cosh.f64 y)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (-.f64 (exp.f64 y) (cosh.f64 y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))))
(+.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (cosh.f64 y) #s(literal 2 binary64))) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 (-.f64 (exp.f64 y) (cosh.f64 y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))))
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 y) (exp.f64 (neg.f64 y))) #s(literal 2 binary64)))

eval23.0ms (0.3%)

Memory
-0.8MiB live, 50.8MiB allocated
Compiler

Compiled 3 567 to 722 computations (79.8% saved)

prune6.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1866192
Fresh000
Picked101
Done000
Total1876193
Accuracy
100.0%
Counts
193 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.4%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
89.7%
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
92.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
88.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
74.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
51.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Compiler

Compiled 160 to 118 computations (26.3% saved)

simplify234.0ms (3.3%)

Memory
-9.9MiB live, 242.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
027227
048227
190227
2259227
3995227
43338227
57343227
08203227
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(/.f64 (sin.f64 x) y)
(sin.f64 x)
x
y
(sinh.f64 y)
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sinh y) y) #s(literal 1 binary64)) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sin.f64 x) y)
(sin.f64 x)
x
y
(sinh.f64 y)

localize124.0ms (1.7%)

Memory
2.2MiB live, 154.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sinh.f64 y)
accuracy0.0
(sin.f64 x)
accuracy0.1484375
(/.f64 (sin.f64 x) y)
accuracy5.296875000000001
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
accuracy0.0078125
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy0.0390625
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.2795629679194013
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy7.45721146465676
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.0
(sin.f64 x)
accuracy0.0078125
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy0.2880224423642125
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy16.482132396464568
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy0.0
(sin.f64 x)
accuracy0.0078125
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
accuracy30.796053681711243
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy0.0234375
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.04296875
(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))
accuracy0.26369988130503835
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy4.825735485931186
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
Samples
105.0ms256×0valid
Compiler

Compiled 390 to 54 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
const: 34.0ms (48.6% of total)
ival-mult: 15.0ms (21.5% of total)
ival-sin: 9.0ms (12.9% of total)
ival-add: 7.0ms (10% of total)
ival-div: 3.0ms (4.3% of total)
ival-sinh: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-10.8MiB live, 26.3MiB allocated
Counts
18 → 49
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(/.f64 (sin.f64 x) y)
(sinh.f64 y)
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 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))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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))))
(/ x y)
(* x (+ (* -1/6 (/ (pow x 2) y)) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) y)) (* 1/6 (/ 1 y)))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) y)) (* 1/120 (/ 1 y)))) (* 1/6 (/ 1 y)))) (/ 1 y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(/ (sin x) y)
(+ (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)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
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))))))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* y y) 1/120) 1/6))
3.0ms
y
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* y y) 1/120) 1/6))
2.0ms
y
@0
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* y y) 1/120) 1/6))
1.0ms
x
@inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* y y) 1/120) 1/6))
1.0ms
x
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (sinh y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (+ (* (* y y) 1/120) 1/6))

simplify181.0ms (2.5%)

Memory
5.3MiB live, 160.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146620
1531603
21852543
36076537
08464494
Stop Event
iter limit
node limit
Counts
49 → 47
Calls
Call 1
Inputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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))))
(/ x y)
(* x (+ (* -1/6 (/ (pow x 2) y)) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) y)) (* 1/6 (/ 1 y)))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) y)) (* 1/120 (/ 1 y)))) (* 1/6 (/ 1 y)))) (/ 1 y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(/ (sin x) y)
(+ (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)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
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))))))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/5040 (pow y 2))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) x)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))) y)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(*.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.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))) (pow.f64 x #s(literal 4 binary64)))) 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)
(/ x y)
(/.f64 x y)
(* x (+ (* -1/6 (/ (pow x 2) y)) (/ 1 y)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) y)
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) y)) (* 1/6 (/ 1 y)))) (/ 1 y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) y) (/.f64 x y))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) y)) (* 1/120 (/ 1 y)))) (* 1/6 (/ 1 y)))) (/ 1 y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) y) (/.f64 x y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 #s(literal 1/2 binary64) y))
(sin x)
(sin.f64 x)
(/ (sin x) y)
(/.f64 (sin.f64 x) y)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin 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 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 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)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (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 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
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)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(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))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/5040 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* 1/120 (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 (/.f64 #s(literal 1/6 binary64) 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 (/.f64 #s(literal 1/6 binary64) y) y) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/5040 (pow y 2))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(* 1/5040 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/5040 binary64)))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))

rewrite275.0ms (3.9%)

Memory
17.9MiB live, 267.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027191
048191
1167191
21121191
08264191
Stop Event
iter limit
node limit
iter limit
Counts
18 → 300
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(/.f64 (sin.f64 x) y)
(sinh.f64 y)
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 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))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
Outputs
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)))) (*.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) (-.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) #s(literal 1/216 binary64))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/720 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))
(neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))))
(fma.f64 (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64))) y #s(literal 1/6 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) (neg.f64 y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/720 binary64))))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/720 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/720 binary64))))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1/120 binary64) y)))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))

eval97.0ms (1.4%)

Memory
-34.3MiB live, 122.8MiB allocated
Compiler

Compiled 14 704 to 1 702 computations (88.4% saved)

prune13.0ms (0.2%)

Memory
37.0MiB live, 37.0MiB allocated
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New3569365
Fresh011
Picked325
Done000
Total35912371
Accuracy
100.0%
Counts
371 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.4%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
89.7%
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
92.1%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
74.0%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
87.6%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))
26.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
51.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
54.6%
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
58.7%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
56.7%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
50.2%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
34.9%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Compiler

Compiled 424 to 306 computations (27.8% saved)

simplify111.0ms (1.6%)

Memory
5.0MiB live, 160.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
cost-diff0
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
cost-diff0
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
cost-diff0
(sinh.f64 y)
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ (sin x) y) (/.f64 x y))
cost-diff0
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
cost-diff0
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039350
063350
1108350
2283350
3960350
42665350
55454350
08317345
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
#s(approx (/ (sin x) y) (/.f64 x y))
(/.f64 x y)
x
y
(sinh.f64 y)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sinh y) y) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 (sinh.f64 y) #s(approx (/ (sin x) y) (/.f64 x y)))
#s(approx (/ (sin x) y) (/.f64 x y))
(/.f64 x y)
x
y
(sinh.f64 y)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (/ (sinh y) y) (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) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize159.0ms (2.2%)

Memory
-29.7MiB live, 167.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0703125
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy0.2795629679194013
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy7.45721146465676
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy29.64055170210023
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
accuracy0.0703125
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy0.2880224423642125
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy16.482132396464568
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy29.64055170210023
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
accuracy0.0
(/.f64 x y)
accuracy0.0
(sinh.f64 y)
accuracy5.296875000000001
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
accuracy29.274694689045873
#s(approx (/ (sin x) y) (/.f64 x y))
accuracy0.0078125
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
accuracy0.0703125
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy29.64055170210023
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
accuracy30.796053681711243
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy0.04296875
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
accuracy0.34182488130503835
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
accuracy4.825735485931186
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy31.564210608595406
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))
Samples
123.0ms256×0valid
Compiler

Compiled 554 to 74 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
const: 66.0ms (64.3% of total)
ival-mult: 14.0ms (13.6% of total)
ival-add: 8.0ms (7.8% of total)
ival-sin: 6.0ms (5.8% of total)
ival-div: 5.0ms (4.9% of total)
ival-pow: 3.0ms (2.9% of total)
ival-sinh: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
0.1MiB live, 36.6MiB allocated
Counts
22 → 50
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
#s(approx (/ (sin x) y) (/.f64 x y))
(/.f64 x y)
(sinh.f64 y)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (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))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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))))
(pow x 3)
(/ x y)
(* x (+ (* -1/6 (/ (pow x 2) y)) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) y)) (* 1/6 (/ 1 y)))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) y)) (* 1/120 (/ 1 y)))) (* 1/6 (/ 1 y)))) (/ 1 y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(/ (sin x) y)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(+ (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)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
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))))))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (/ x y) (sinh y) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (/ (sinh y) y) (+ (* (* y y) 1/120) 1/6))
4.0ms
y
@0
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (/ x y) (sinh y) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (/ (sinh y) y) (+ (* (* y y) 1/120) 1/6))
3.0ms
y
@inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (/ x y) (sinh y) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (/ (sinh y) y) (+ (* (* y y) 1/120) 1/6))
2.0ms
x
@-inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (/ x y) (sinh y) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (/ (sinh y) y) (+ (* (* y y) 1/120) 1/6))
2.0ms
x
@inf
((* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (+ (* (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (* y y)) 1) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (/ (sin x) y) (sinh y)) (/ (sin x) y) (/ x y) (sinh y) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (+ (* 1/5040 (* y y)) 1/120) (* 1/5040 (* y y)) (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (/ (sinh y) y) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (/ (sinh y) y) (+ (* (* y y) 1/120) 1/6))

simplify151.0ms (2.1%)

Memory
18.3MiB live, 143.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150618
1528591
21838545
35941539
08310497
Stop Event
iter limit
node limit
Counts
50 → 48
Calls
Call 1
Inputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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))))
(pow x 3)
(/ x y)
(* x (+ (* -1/6 (/ (pow x 2) y)) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) y)) (* 1/6 (/ 1 y)))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) y)) (* 1/120 (/ 1 y)))) (* 1/6 (/ 1 y)))) (/ 1 y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(/ (sin x) y)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(+ (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)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
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))))))))
1/120
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) x)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))) y)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(*.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.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))) (pow.f64 x #s(literal 4 binary64)))) 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 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (* -1/6 (/ (pow x 2) y)) (/ 1 y)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) y)
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) y)) (* 1/6 (/ 1 y)))) (/ 1 y)))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) y) (pow.f64 x #s(literal 3 binary64)) (/.f64 x y))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) y)) (* 1/120 (/ 1 y)))) (* 1/6 (/ 1 y)))) (/ 1 y)))
(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))) y) (pow.f64 x #s(literal 3 binary64)) (/.f64 x y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(sin x)
(sin.f64 x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (sin x) y)
(/.f64 (sin.f64 x) y)
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin 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 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 4 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (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 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
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 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/5040 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/120 binary64) y) y) #s(literal 1/5040 binary64)))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))

rewrite294.0ms (4.1%)

Memory
-10.1MiB live, 266.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039270
063270
1203270
21279270
08418265
Stop Event
iter limit
node limit
iter limit
Counts
22 → 326
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
#s(approx (/ (sin x) y) (/.f64 x y))
(/.f64 x y)
(sinh.f64 y)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
(fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (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))
Outputs
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) y)) y) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) y)) y))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y))))
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(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
#s(approx (/ (sinh y) y) (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 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/120 binary64)) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/120 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.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 (*.f64 y y) #s(literal 1/120 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))) (*.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))) (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/120 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/120 binary64)) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/120 binary64))))))
(/.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 (-.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 1/120 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/120 binary64) y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) #s(literal 1/216 binary64))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y))) y #s(literal 1/6 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y))) (neg.f64 y)))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) y)) y))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal 1/120 binary64))))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/120 binary64)))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/120 binary64) y)))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 y y))) #s(literal 1/120 binary64)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1/120 binary64) y)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))

eval110.0ms (1.5%)

Memory
-6.0MiB live, 149.6MiB allocated
Compiler

Compiled 24 102 to 2 029 computations (91.6% saved)

prune21.0ms (0.3%)

Memory
24.7MiB live, 62.9MiB allocated
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New51610526
Fresh325
Picked325
Done022
Total52216538
Accuracy
100.0%
Counts
538 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.4%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
89.7%
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
92.1%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
74.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
26.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
51.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
54.6%
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
50.4%
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)))
49.2%
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (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)))
45.0%
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)))
58.5%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
56.7%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
50.2%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
34.9%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
34.9%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
34.9%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Compiler

Compiled 566 to 398 computations (29.7% saved)

simplify156.0ms (2.2%)

Memory
0.3MiB live, 170.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
031263
054263
1100241
2254241
3769241
41919241
54461241
08820241
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
y
(sin.f64 x)
x
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (sin.f64 x))
(*.f64 (sin.f64 x) (sinh.f64 y))
(sinh.f64 y)
y
(sin.f64 x)
x
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) (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 (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize123.0ms (1.7%)

Memory
-23.5MiB live, 172.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 x)
accuracy0.0078125
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy0.2880224423642125
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy16.482132396464568
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy0.0703125
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
accuracy0.2795629679194013
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy7.45721146465676
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy29.64055170210023
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy0.06640625
(*.f64 (*.f64 x x) x)
accuracy0.0703125
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
accuracy29.64055170210023
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
accuracy30.796053681711243
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy0.04296875
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
accuracy0.203125
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
accuracy29.64055170210023
#s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
accuracy30.796053681711243
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy0.0
(sinh.f64 y)
accuracy0.0
(sin.f64 x)
accuracy0.0546875
(*.f64 (sinh.f64 y) (sin.f64 x))
accuracy7.440646422363516
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
Samples
85.0ms256×0valid
Compiler

Compiled 435 to 59 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 20.0ms (41.8% of total)
const: 11.0ms (23% of total)
ival-add: 6.0ms (12.6% of total)
ival-sin: 6.0ms (12.6% of total)
ival-div: 3.0ms (6.3% of total)
ival-sinh: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
19 → 43
Calls
Call 1
Inputs
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
(sin.f64 x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (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))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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))))
(* -1/6 (pow x 2))
(pow x 3)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(sin x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(+ (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)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
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))))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) (sin x) (+ (* (* -1/6 (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* (* x x) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (/ (sinh y) y) (/ (sinh y) y) (+ (* (* y y) 1/120) 1/6))
2.0ms
y
@-inf
((/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) (sin x) (+ (* (* -1/6 (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* (* x x) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (/ (sinh y) y) (/ (sinh y) y) (+ (* (* y y) 1/120) 1/6))
2.0ms
x
@-inf
((/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) (sin x) (+ (* (* -1/6 (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* (* x x) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (/ (sinh y) y) (/ (sinh y) y) (+ (* (* y y) 1/120) 1/6))
2.0ms
y
@inf
((/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) (sin x) (+ (* (* -1/6 (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* (* x x) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (/ (sinh y) y) (/ (sinh y) y) (+ (* (* y y) 1/120) 1/6))
1.0ms
x
@0
((/ (* (sinh y) (sin x)) y) (* (sinh y) (sin x)) (sinh y) (sin x) (+ (* (* -1/6 (* x x)) x) x) (* (sin x) (/ (sinh y) y)) (sin x) (* -1/6 (* x x)) (* (* x x) x) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (/ (sinh y) y) (+ (* (* y y) 1/6) 1) (/ (sinh y) y) (/ (sinh y) y) (+ (* (* y y) 1/120) 1/6))

simplify177.0ms (2.5%)

Memory
13.4MiB live, 134.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131630
1493554
21876532
35721530
08184487
Stop Event
iter limit
node limit
Counts
43 → 41
Calls
Call 1
Inputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) 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))))
(* -1/6 (pow x 2))
(pow x 3)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(sin x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(+ (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)))))
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
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))))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 (*.f64 (-.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)) y)) x)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.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)))))) y)
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(*.f64 (/.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))))) y) x)
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(*.f64 (*.f64 (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 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.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))))))
(* 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)
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(sin x)
(sin.f64 x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin 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 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 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 (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)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (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 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))

rewrite305.0ms (4.3%)

Memory
-26.6MiB live, 258.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031187
054171
1168171
2898171
08555171
Stop Event
iter limit
node limit
iter limit
Counts
19 → 327
Calls
Call 1
Inputs
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
(*.f64 (sinh.f64 y) (sin.f64 x))
(sinh.f64 y)
(sin.f64 x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (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))
Outputs
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) y))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (sinh.f64 (neg.f64 y)) (sin.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) y)))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sinh.f64 y))
(*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 (neg.f64 y)))
(*.f64 (sinh.f64 (neg.f64 y)) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (sinh.f64 y) (neg.f64 (neg.f64 (sin.f64 x))))
(*.f64 (sinh.f64 y) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (sinh.f64 (neg.f64 y)) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(neg.f64 (sinh.f64 (neg.f64 y)))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(sin.f64 x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
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(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))) (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))))) (*.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))))) (-.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))))))
(/.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 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))) (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))) (-.f64 (*.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))))) (*.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))) #s(literal 1/216 binary64))) (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))))
(/.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 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (-.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))))
(neg.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64))) y #s(literal 1/6 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) (neg.f64 y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))
(+.f64 (/.f64 #s(literal 1/216 binary64) (-.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/216 binary64) (-.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/720 binary64) (*.f64 y y)))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))) (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 y y))))))
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))

eval55.0ms (0.8%)

Memory
-7.1MiB live, 68.9MiB allocated
Compiler

Compiled 8 472 to 1 229 computations (85.5% saved)

prune41.0ms (0.6%)

Memory
-7.1MiB live, 38.6MiB allocated
Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New2984302
Fresh077
Picked145
Done044
Total29919318
Accuracy
100.0%
Counts
318 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.4%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
89.7%
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
92.1%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
74.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
26.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
51.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
54.6%
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
50.4%
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)))
49.2%
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (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)))
45.0%
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)))
58.5%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
56.7%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
46.4%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
50.2%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
56.2%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
34.9%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
34.9%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
34.9%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
34.9%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Compiler

Compiled 1 014 to 396 computations (60.9% saved)

regimes61.0ms (0.9%)

Memory
21.7MiB live, 57.0MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

29.0ms
y
9.0ms
x
8.0ms
(sin.f64 x)
8.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
100.0%1(sin.f64 x)
100.0%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes56.0ms (0.8%)

Memory
1.6MiB live, 72.6MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

22.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
11.0ms
x
8.0ms
(sin.f64 x)
8.0ms
y
6.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
92.3%1x
92.3%1y
92.3%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
92.3%1(sin.f64 x)
92.3%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes38.0ms (0.5%)

Memory
10.5MiB live, 58.1MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

12.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms
x
7.0ms
y
7.0ms
(sin.f64 x)
5.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
92.1%1x
92.1%1y
92.1%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
92.1%1(sin.f64 x)
92.1%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes40.0ms (0.6%)

Memory
-11.9MiB live, 64.7MiB allocated
Counts
22 → 5
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (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)))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))
Calls

5 calls:

14.0ms
x
9.0ms
(sin.f64 x)
6.0ms
y
6.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
96.1%5y
88.2%1x
88.2%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
88.2%1(/.f64 (sinh.f64 y) y)
88.2%1(sin.f64 x)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
19 → 5
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
96.0%5y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes50.0ms (0.7%)

Memory
-8.5MiB live, 73.5MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) #s(approx (sinh y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
Calls

5 calls:

26.0ms
y
8.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
x
5.0ms
(sin.f64 x)
4.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
80.8%2x
88.4%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
80.8%3(sin.f64 x)
80.1%2(/.f64 (sinh.f64 y) y)
92.9%6y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes11.0ms (0.2%)

Memory
-17.0MiB live, 21.1MiB allocated
Counts
13 → 6
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
Calls

2 calls:

6.0ms
y
4.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
92.7%6y
87.9%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes12.0ms (0.2%)

Memory
23.7MiB live, 23.7MiB allocated
Counts
12 → 4
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))))
Calls

3 calls:

4.0ms
y
4.0ms
x
4.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
70.1%2x
79.5%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
83.9%4y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.2%)

Memory
-19.1MiB live, 17.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

6.0ms
(/.f64 (sinh.f64 y) y)
4.0ms
y
Results
AccuracySegmentsBranch
79.9%2(/.f64 (sinh.f64 y) y)
79.9%3y
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes31.0ms (0.4%)

Memory
16.1MiB live, 54.1MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

7.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms
(sin.f64 x)
6.0ms
y
6.0ms
x
4.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
56.7%1x
56.7%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
56.7%1y
61.0%2(sin.f64 x)
56.7%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes16.0ms (0.2%)

Memory
-34.1MiB live, 23.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

3 calls:

7.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
(sin.f64 x)
3.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
56.7%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
56.7%1(/.f64 (sinh.f64 y) y)
56.7%1(sin.f64 x)
Compiler

Compiled 13 to 13 computations (0% saved)

regimes12.0ms (0.2%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
Calls

5 calls:

2.0ms
(sin.f64 x)
2.0ms
x
2.0ms
y
2.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
56.2%1x
56.2%1y
56.2%1(sin.f64 x)
56.2%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
56.2%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes11.0ms (0.2%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Calls

5 calls:

2.0ms
(sin.f64 x)
2.0ms
y
2.0ms
x
2.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
50.2%1x
50.2%1y
50.2%1(sin.f64 x)
50.2%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
50.2%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes13.0ms (0.2%)

Memory
-18.8MiB live, 20.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Calls

5 calls:

6.0ms
(/.f64 (sinh.f64 y) y)
2.0ms
(sin.f64 x)
2.0ms
y
2.0ms
x
2.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
34.9%1y
34.9%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
34.9%1(/.f64 (sinh.f64 y) y)
34.9%1x
34.9%1(sin.f64 x)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch57.0ms (0.8%)

Memory
28.9MiB live, 104.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
7.91562587632895e+75
2.3686380899943715e+76
19.0ms
1.4448095448051023e-14
0.6603171544700731
15.0ms
-4.907399789306303e+23
-7788959447419075000.0
12.0ms
-4.868233668802979e+86
-2.476882060981433e+84
Samples
34.0ms480×0valid
Compiler

Compiled 994 to 761 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 12.0ms (56.5% of total)
ival-div: 3.0ms (14.1% of total)
ival-mult: 3.0ms (14.1% of total)
ival-sinh: 3.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.4%)

Memory
-25.1MiB live, 55.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.91562587632895e+75
2.3686380899943715e+76
8.0ms
1.4448095448051023e-14
0.6603171544700731
16.0ms
-0.00014812025045752975
-2.7074265367200045e-6
1.0ms
-4.868233668802979e+86
-2.476882060981433e+84
Samples
17.0ms176×0valid
Compiler

Compiled 879 to 704 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 8.0ms (63.5% of total)
ival-sinh: 2.0ms (15.9% of total)
ival-div: 1.0ms (7.9% of total)
ival-mult: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9974001625233405
2.0839010651176433e+162
0.0ms
-inf
-0.9999982318335231
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch38.0ms (0.5%)

Memory
14.4MiB live, 52.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
8.881864699260835e+151
1.898790930891695e+154
2.0ms
5.411166134816136e+110
8.92725682017728e+114
10.0ms
1.4448095448051023e-14
0.6603171544700731
1.0ms
-0.00014812025045752975
-2.7074265367200045e-6
10.0ms
-1.148515916658082e+151
-2.6991863694326835e+150
Samples
21.0ms320×0valid
Compiler

Compiled 980 to 793 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 8.0ms (56.5% of total)
ival-div: 2.0ms (14.1% of total)
ival-mult: 2.0ms (14.1% of total)
ival-sinh: 2.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.881864699260835e+151
1.898790930891695e+154
1.0ms
1.4448095448051023e-14
0.6603171544700731
1.0ms
-0.00014812025045752975
-2.7074265367200045e-6
Compiler

Compiled 982 to 763 computations (22.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000012217
1.0000000036566015
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.697345003798114e-8
3.121691118928287e-6
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify71.0ms (1%)

Memory
-12.6MiB live, 70.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124791
1152791
2246791
3495791
4933791
52781791
67987791
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -2500000000000000036576738076687182577425107469661637648196526967924490910627870539776 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) (if (<=.f64 y #s(literal -8000000000000000000 binary64)) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 7385903388887613/18014398509481984 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 23000000000000000118220266850431635225409827833395689244519235660590272741376 binary64)) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))))))
(if (<=.f64 y #s(literal -2500000000000000036576738076687182577425107469661637648196526967924490910627870539776 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) (if (<=.f64 y #s(literal -2674777890687885/18446744073709551616 binary64)) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 1080863910568919/4503599627370496 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 23000000000000000118220266850431635225409827833395689244519235660590272741376 binary64)) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))))
(if (<=.f64 y #s(literal -11400000000000000399338712017051927299458804864749488441834435419977092518388605149473195158613155959637196593733437188670607533902027048514271842402304 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) (if (<=.f64 y #s(literal -2674777890687885/18446744073709551616 binary64)) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 1988789595446811/144115188075855872 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 999999999999999956819772641641815758405104477258378281795396215622882607621111488153942930947432322044748890112 binary64)) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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)))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))))))
(if (<=.f64 y #s(literal -2674777890687885/18446744073709551616 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 7385903388887613/18014398509481984 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))))
(if (<=.f64 (/.f64 (sinh.f64 y) y) #s(literal 4503599636377695/4503599627370496 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 944473296573929/18889465931478580854784 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -2500000000000000036576738076687182577425107469661637648196526967924490910627870539776 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) (if (<=.f64 y #s(literal -8000000000000000000 binary64)) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 7385903388887613/18014398509481984 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 23000000000000000118220266850431635225409827833395689244519235660590272741376 binary64)) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))))))
(if (<=.f64 y #s(literal -2500000000000000036576738076687182577425107469661637648196526967924490910627870539776 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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)))) (if (<=.f64 y #s(literal -2674777890687885/18446744073709551616 binary64)) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 1080863910568919/4503599627370496 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 23000000000000000118220266850431635225409827833395689244519235660590272741376 binary64)) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (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))))))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y))))
(if (<=.f64 y #s(literal -11400000000000000399338712017051927299458804864749488441834435419977092518388605149473195158613155959637196593733437188670607533902027048514271842402304 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) (if (<=.f64 y #s(literal -2674777890687885/18446744073709551616 binary64)) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 1988789595446811/144115188075855872 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 999999999999999956819772641641815758405104477258378281795396215622882607621111488153942930947432322044748890112 binary64)) (*.f64 #s(approx (/ (sin x) y) (/.f64 x y)) (sinh.f64 y)) (if (<=.f64 y #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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)))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))))))
(if (<=.f64 y #s(literal -2674777890687885/18446744073709551616 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 7385903388887613/18014398509481984 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (* y y) 1/6) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))))
(if (<=.f64 (/.f64 (sinh.f64 y) y) #s(literal 4503599636377695/4503599627370496 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 944473296573929/18889465931478580854784 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (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))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))

soundness1.4s (20.2%)

Memory
28.8MiB live, 696.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131630
1493554
21876532
35721530
08184487
0146620
1531603
21852543
36076537
08464494
039270
063270
1203270
21279270
08418265
031187
054171
1168171
2898171
08555171
0615
01015
12115
27215
342215
4577615
0817215
092363
1343350
21293306
34122300
08359272
027191
048191
1167191
21121191
08264191
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 752 to 828 computations (52.7% saved)

preprocess264.0ms (3.7%)

Memory
-12.7MiB live, 63.9MiB allocated
Remove

(negabs x)

Compiler

Compiled 1 624 to 292 computations (82% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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