Linear.Quaternion:$ccos from linear-1.19.1.3

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze15.0ms (0.3%)

Memory
4.9MiB live, 4.9MiB 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)

sample676.0ms (11.9%)

Memory
219.2MiB live, 219.2MiB allocated
Samples
467.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 318.0ms
ival-sin: 173.0ms (54.3% of total)
ival-div: 55.0ms (17.3% of total)
ival-mult: 45.0ms (14.1% of total)
ival-sinh: 37.0ms (11.6% of total)
ival-true: 6.0ms (1.9% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain81.0ms (1.4%)

Memory
39.5MiB live, 39.5MiB 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
33.0ms512×0valid
Compiler

Compiled 79 to 34 computations (57% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 11.0ms (52.9% of total)
ival-div: 4.0ms (19.2% of total)
ival-mult: 3.0ms (14.4% of total)
ival-sinh: 3.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess369.0ms (6.5%)

Memory
16.0MiB live, 16.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
16041
217241
358037
4198837
5462837
6633637
7733137
8784337
067
0107
1197
2367
3747
41547
53027
67617
718007
830357
940317
1045167
1145947
1245977
1345997
1450197
1552397
1653597
1754937
1855977
1956377
2056537
2156617
2256617
2357797
2460177
2560537
2660537
2760537
060537
Stop Event
iter limit
saturated
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

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify290.0ms (5.1%)

Memory
10.2MiB live, 10.2MiB 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
23617
37417
415417
530217
676117
7180017
8303517
9403117
10451617
11459417
12459717
13459917
14501917
15523917
16535917
17549317
18559717
19563717
20565317
21566117
22566117
23577917
24601717
25605317
26605317
27605317
0605317
Stop Event
iter limit
saturated
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 (0.4%)

Memory
7.9MiB live, 7.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 x)
accuracy0.0078125
(/.f64 (sinh.f64 y) y)
accuracy0.0078125
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
accuracy0.01171875
(sinh.f64 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: 6.0ms (58.9% of total)
ival-div: 2.0ms (19.6% of total)
ival-mult: 1.0ms (9.8% of total)
ival-sinh: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
4.1MiB live, 4.1MiB 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
3.0ms
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))

simplify126.0ms (2.2%)

Memory
40.9MiB live, 40.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092363
1288356
2898306
33148298
47374298
08537268
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 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #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 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #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)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(fma.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x (*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (pow.f64 x #s(literal 5 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* 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)))))))
(*.f64 (sin.f64 x) (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
#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))

rewrite100.0ms (1.8%)

Memory
45.8MiB live, 45.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
12615
212115
387015
0838415
Stop Event
iter limit
node limit
iter limit
Counts
4 → 644
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 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) #s(literal 2 binary64)) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sinh.f64 y)))) (/.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (exp.f64 y) (exp.f64 y) (-.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) (sinh.f64 y))) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) y)) (/.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) y)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (/.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (/.f64 (sin.f64 x) (fma.f64 (exp.f64 y) (exp.f64 y) (-.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)))))
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(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (exp.f64 y) (exp.f64 y) (-.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 (exp.f64 y) (exp.f64 y) (-.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 #s(literal 0 binary64)) (cosh.f64 y)) (*.f64 (cosh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 y))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 y) #s(literal -1/2 binary64))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sinh.f64 y))
(+.f64 (sinh.f64 y) #s(literal 0 binary64))

eval57.0ms (1%)

Memory
55.0MiB live, 55.0MiB allocated
Compiler

Compiled 12 422 to 2 075 computations (83.3% saved)

prune12.0ms (0.2%)

Memory
26.3MiB live, 26.3MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New6578665
Fresh000
Picked101
Done000
Total6588666
Accuracy
100.0%
Counts
666 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
86.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))
88.4%
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
28.5%
(*.f64 (sin.f64 x) (/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y))
90.7%
(*.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))))
87.2%
(*.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))))
76.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
51.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Compiler

Compiled 214 to 164 computations (23.4% saved)

simplify72.0ms (1.3%)

Memory
22.7MiB live, 22.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y)
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y))
cost-diff13824
(/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y)))
cost-diff0
(/.f64 #s(literal 2 binary64) y)
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y))
cost-diff640
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (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
#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: 2 (0.0ms)

IterNodesCost
034255
060245
1114245
2271230
31011230
44928230
08119230
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 (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) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y))
(sin.f64 x)
x
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 #s(literal 1/2 binary64) (sinh.f64 y))
#s(literal 1/2 binary64)
(sinh.f64 y)
(*.f64 (sin.f64 x) (/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y))
(sin.f64 x)
x
(/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y)
(/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y)))
(neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(pow.f64 (sinh.f64 y) #s(literal 2 binary64))
(sinh.f64 y)
y
#s(literal 2 binary64)
(neg.f64 (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 (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) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 (sin.f64 x) y) #s(literal 2 binary64))
(sin.f64 x)
x
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 #s(literal 1/2 binary64) (sinh.f64 y))
(*.f64 (sinh.f64 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sinh.f64 y)
(*.f64 (sin.f64 x) (/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(sin.f64 x)
x
(/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y)
(/.f64 (sinh.f64 y) y)
(/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y)))
(sinh.f64 y)
(neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(pow.f64 (sinh.f64 y) #s(literal 2 binary64))
(sinh.f64 y)
y
#s(literal 2 binary64)
(neg.f64 (sinh.f64 y))

localize125.0ms (2.2%)

Memory
51.0MiB live, 51.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (sin.f64 x) (/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y))
accuracy0.01171875
(sinh.f64 y)
accuracy0.015625
(pow.f64 (sinh.f64 y) #s(literal 2 binary64))
accuracy14.937493987851976
(/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y)))
accuracy0.00390625
(sin.f64 x)
accuracy0.01171875
(sinh.f64 y)
accuracy0.11328125
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
accuracy0.16015625
(*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y))
accuracy0.00390625
(sin.f64 x)
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))))
accuracy0.01953125
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy1.5148203921597545
#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)))
accuracy0.00390625
(sin.f64 x)
accuracy0.0078125
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
accuracy1.8053513412253233
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy0.0078125
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy0.0078125
(*.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))))
accuracy0.01171875
(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))
accuracy1.40946941744416
#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
64.0ms120×2exit
33.0ms135×0valid
2.0ms5exit
Compiler

Compiled 459 to 69 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 19.0ms (26.5% of total)
const: 11.0ms (15.4% of total)
adjust: 10.0ms (14% of total)
ival-div: 8.0ms (11.2% of total)
ival-add: 7.0ms (9.8% of total)
ival-sin: 6.0ms (8.4% of total)
ival-neg: 3.0ms (4.2% of total)
ival-pow2: 3.0ms (4.2% of total)
ival-sinh: 2.0ms (2.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
19 → 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 (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) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 2 binary64) y)
(/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y))
(/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y)
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(sinh.f64 y)
(pow.f64 (sinh.f64 y) #s(literal 2 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))))
(* 2 (/ x y))
(* x (+ (* -1/3 (/ (pow x 2) y)) (* 2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/60 (/ (pow x 2) y)) (* 1/3 (/ 1 y)))) (* 2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/2520 (/ (pow x 2) y)) (* 1/60 (/ 1 y)))) (* 1/3 (/ 1 y)))) (* 2 (/ 1 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(* 2 (/ (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)))))))
(/ 2 y)
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)))
(pow y 2)
(* (pow y 2) (+ 1 (* 1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (+ 1/3 (* 2/45 (pow y 2))))))
(* (pow y 2) (+ 1 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 2/45 (* 1/315 (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))))))
(* 1/120 (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)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/4 (pow (- (exp y) (/ 1 (exp y))) 2))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
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) 1/120) 1/6) (* y y)) 1) (* (* (sin x) (/ 2 y)) (* 1/2 (sinh y))) (* (sin x) (/ 2 y)) (/ 2 y) (/ (neg (pow (sinh y) 2)) (neg (sinh y))) (* (sin x) (/ (/ (neg (pow (sinh y) 2)) (neg (sinh y))) y)) (/ (/ (neg (pow (sinh y) 2)) (neg (sinh y))) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (* y y) 1/120) 1/6) (sinh y) (pow (sinh y) 2))
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) 1/120) 1/6) (* y y)) 1) (* (* (sin x) (/ 2 y)) (* 1/2 (sinh y))) (* (sin x) (/ 2 y)) (/ 2 y) (/ (neg (pow (sinh y) 2)) (neg (sinh y))) (* (sin x) (/ (/ (neg (pow (sinh y) 2)) (neg (sinh y))) y)) (/ (/ (neg (pow (sinh y) 2)) (neg (sinh y))) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (* y y) 1/120) 1/6) (sinh y) (pow (sinh y) 2))
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) 1/120) 1/6) (* y y)) 1) (* (* (sin x) (/ 2 y)) (* 1/2 (sinh y))) (* (sin x) (/ 2 y)) (/ 2 y) (/ (neg (pow (sinh y) 2)) (neg (sinh y))) (* (sin x) (/ (/ (neg (pow (sinh y) 2)) (neg (sinh y))) y)) (/ (/ (neg (pow (sinh y) 2)) (neg (sinh y))) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (* y y) 1/120) 1/6) (sinh y) (pow (sinh y) 2))
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) 1/120) 1/6) (* y y)) 1) (* (* (sin x) (/ 2 y)) (* 1/2 (sinh y))) (* (sin x) (/ 2 y)) (/ 2 y) (/ (neg (pow (sinh y) 2)) (neg (sinh y))) (* (sin x) (/ (/ (neg (pow (sinh y) 2)) (neg (sinh y))) y)) (/ (/ (neg (pow (sinh y) 2)) (neg (sinh y))) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (* y y) 1/120) 1/6) (sinh y) (pow (sinh y) 2))
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) 1/120) 1/6) (* y y)) 1) (* (* (sin x) (/ 2 y)) (* 1/2 (sinh y))) (* (sin x) (/ 2 y)) (/ 2 y) (/ (neg (pow (sinh y) 2)) (neg (sinh y))) (* (sin x) (/ (/ (neg (pow (sinh y) 2)) (neg (sinh y))) y)) (/ (/ (neg (pow (sinh y) 2)) (neg (sinh y))) y) (+ (* 1/5040 (* y y)) 1/120) (+ (* (* y y) 1/120) 1/6) (sinh y) (pow (sinh y) 2))

simplify121.0ms (2.1%)

Memory
37.8MiB live, 37.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169629
1535622
21561560
33696556
47988556
08021506
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))))
(* 2 (/ x y))
(* x (+ (* -1/3 (/ (pow x 2) y)) (* 2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/60 (/ (pow x 2) y)) (* 1/3 (/ 1 y)))) (* 2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/2520 (/ (pow x 2) y)) (* 1/60 (/ 1 y)))) (* 1/3 (/ 1 y)))) (* 2 (/ 1 y))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(* 2 (/ (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)))))))
(/ 2 y)
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)))
(pow y 2)
(* (pow y 2) (+ 1 (* 1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (+ 1/3 (* 2/45 (pow y 2))))))
(* (pow y 2) (+ 1 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 2/45 (* 1/315 (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))))))
(* 1/120 (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)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/4 (pow (- (exp y) (/ 1 (exp y))) 2))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.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 (/.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))))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))
(* 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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.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
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* 2 (/ x y))
(*.f64 (/.f64 #s(literal 2 binary64) y) x)
(* x (+ (* -1/3 (/ (pow x 2) y)) (* 2 (/ 1 y))))
(*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))
(* x (+ (* (pow x 2) (- (* 1/60 (/ (pow x 2) y)) (* 1/3 (/ 1 y)))) (* 2 (/ 1 y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal -1/3 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) y) x))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/2520 (/ (pow x 2) y)) (* 1/60 (/ 1 y)))) (* 1/3 (/ 1 y)))) (* 2 (/ 1 y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 x y) x) (fma.f64 (*.f64 #s(literal -1/2520 binary64) x) x #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) y)) (*.f64 (/.f64 #s(literal 2 binary64) y) 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)
(* 2 (/ (sin x) y))
(*.f64 (/.f64 (sin.f64 x) y) #s(literal 2 binary64))
(+ (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))
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)
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))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 1/3 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/3 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (+ 1/3 (* 2/45 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 2/45 (* 1/315 (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y 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))))
(* 1/5040 (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 #s(literal 1/120 binary64) (*.f64 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 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 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))) (/ 1 (pow y 6))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 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 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #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))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/4 (pow (- (exp y) (/ 1 (exp y))) 2))
(*.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 2 binary64)) #s(literal 1/4 binary64))

rewrite119.0ms (2.1%)

Memory
51.0MiB live, 51.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034196
060186
1205184
21261171
08329171
Stop Event
iter limit
node limit
iter limit
Counts
19 → 727
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 (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) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 2 binary64) y)
(/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y))
(/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y)
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(sinh.f64 y)
(pow.f64 (sinh.f64 y) #s(literal 2 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))))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #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 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (-.f64 #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 (neg.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 #s(literal 1 binary64) (neg.f64 (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 (neg.f64 (fma.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)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.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)))))
(*.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)) (pow.f64 (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)) #s(literal -1 binary64)))
(*.f64 (fma.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)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #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 (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 (fma.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)) #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 #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)))
(pow.f64 (/.f64 #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))) #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))) (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 (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))) (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 (pow.f64 (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)) #s(literal -1 binary64)) (pow.f64 (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)) #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))) (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))) (pow.f64 (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)) #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))) (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))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (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)) #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))) (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 (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))) (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 (pow.f64 (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)) #s(literal -1 binary64)) (pow.f64 (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)) #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))) (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))) (pow.f64 (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)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.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)))) (neg.f64 (neg.f64 (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 (neg.f64 (neg.f64 (fma.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)) #s(literal 1 binary64)))) (neg.f64 (neg.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)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.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))))) (neg.f64 (-.f64 #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 (-.f64 (pow.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 4 binary64)) #s(literal 1 binary64)) #s(literal 1 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)) (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 (pow.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 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.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 4 binary64)) (+.f64 #s(literal 1 binary64) (*.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))))) (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))))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sinh.f64 y))))
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(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (sinh.f64 y))) (/.f64 (sinh.f64 y) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (/.f64 (sinh.f64 y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
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(*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 y)) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))))
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(pow.f64 (sinh.f64 y) #s(literal 1 binary64))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sinh.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 2 binary64))
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(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 6 binary64)))) (*.f64 (sinh.f64 y) (+.f64 (pow.f64 (sinh.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64))))
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(/.f64 (*.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (sinh.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64)) (sinh.f64 y)))
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(/.f64 (*.f64 (*.f64 (sinh.f64 y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))
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(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (neg.f64 (sinh.f64 y)) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64))
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(/.f64 (sinh.f64 y) (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 #s(literal -1 binary64) (sinh.f64 y))))
(/.f64 (sinh.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 y) #s(literal -1 binary64)))
(sinh.f64 y)
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(-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 2 binary64)) (log.f64 (sinh.f64 y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sinh.f64 y)))
(+.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
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(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sinh.f64 y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (sinh.f64 y)))
(*.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (sinh.f64 y) (sinh.f64 y))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sinh.f64 y)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sinh.f64 y)))
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sinh.f64 y) #s(literal 2 binary64))
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(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 y) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 4 binary64)) #s(literal 0 binary64))))
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(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 4 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -4 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal -4 binary64))
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(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))))
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(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (sinh.f64 y)) (log.f64 (sinh.f64 y))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))

eval85.0ms (1.5%)

Memory
55.3MiB live, 55.3MiB allocated
Compiler

Compiled 14 905 to 2 494 computations (83.3% saved)

prune30.0ms (0.5%)

Memory
29.3MiB live, 29.3MiB allocated
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New62711638
Fresh123
Picked145
Done000
Total62917646
Accuracy
100.0%
Counts
646 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
87.4%
(/.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) (sin.f64 x))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))
88.4%
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
90.7%
(*.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))))
87.2%
(*.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))))
90.4%
(*.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))))
87.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
76.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
90.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
39.9%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
51.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
48.6%
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
49.1%
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
31.9%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
31.6%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
29.4%
(*.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 569 to 418 computations (26.5% saved)

simplify103.0ms (1.8%)

Memory
23.6MiB live, 23.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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)))))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #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))))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) y) x)
cost-diff0
#s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x))
cost-diff0
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (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
(sinh.f64 y)
cost-diff0
(/.f64 y (sinh.f64 y))
cost-diff0
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045349
077337
1135337
2270335
3703335
41913335
53372335
65307335
77328335
08183335
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))
#s(literal 1 binary64)
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 y (sinh.f64 y))
y
(sinh.f64 y)
(sin.f64 x)
x
(*.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) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
#s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x))
(*.f64 (/.f64 #s(literal 2 binary64) y) x)
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
x
(*.f64 #s(literal 1/2 binary64) (sinh.f64 y))
#s(literal 1/2 binary64)
(sinh.f64 y)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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)))))
(/.f64 #s(literal 1 binary64) (/.f64 #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))))
#s(literal 1 binary64)
(/.f64 #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 (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 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 y y)
y
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
#s(literal 1 binary64)
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(/.f64 y (sinh.f64 y))
y
(sinh.f64 y)
(sin.f64 x)
x
(*.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) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)))
#s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x))
(*.f64 (/.f64 #s(literal 2 binary64) y) x)
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
x
(*.f64 #s(literal 1/2 binary64) (sinh.f64 y))
#s(literal 1/2 binary64)
(sinh.f64 y)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #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)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
(*.f64 #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))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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)))))
#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(literal 1 binary64) (/.f64 #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 (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(literal 1 binary64)
(/.f64 #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)))
(/.f64 #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 (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 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 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 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 y y)
y
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)

localize180.0ms (3.2%)

Memory
57.5MiB live, 57.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
accuracy0.01171875
(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))
accuracy0.015625
(/.f64 #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)))
accuracy1.40946941744416
#s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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)))))
accuracy0.0234375
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.44872476514641046
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
accuracy1.8053513412253233
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy18.352913967362824
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
accuracy0.01171875
(sinh.f64 y)
accuracy0.11328125
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
accuracy0.12109375
(*.f64 (/.f64 #s(literal 2 binary64) y) x)
accuracy18.163604426756645
#s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x))
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)))
accuracy0.03125
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
accuracy1.8053513412253233
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy18.314570700433737
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
accuracy0.00390625
(sin.f64 x)
accuracy0.01171875
(sinh.f64 y)
accuracy0.08203125
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
accuracy0.34890883724104005
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))
Samples
88.0ms120×2exit
51.0ms135×0valid
3.0ms5exit
Compiler

Compiled 609 to 90 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-mult: 27.0ms (26% of total)
const: 22.0ms (21.2% of total)
adjust: 15.0ms (14.5% of total)
ival-div: 13.0ms (12.5% of total)
ival-add: 13.0ms (12.5% of total)
ival-sin: 7.0ms (6.8% of total)
ival-pow: 4.0ms (3.9% of total)
ival-sinh: 2.0ms (1.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
24 → 71
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 y (sinh.f64 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) #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) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
#s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x))
(*.f64 (/.f64 #s(literal 2 binary64) y) x)
(/.f64 #s(literal 2 binary64) y)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #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))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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)))))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(/.f64 #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 (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))
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))))))))
(* 2 (/ y (* x (- (exp y) (/ 1 (exp y))))))
(/ (+ (* 1/3 (/ (* (pow x 2) y) (- (exp y) (/ 1 (exp y))))) (* 2 (/ y (- (exp y) (/ 1 (exp y)))))) x)
(/ (+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/18 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/60 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1/3 (/ y (- (exp y) (/ 1 (exp y)))))))) x)
(/ (+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2520 (/ y (- (exp y) (/ 1 (exp y))))) (+ (* 1/360 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/6 (+ (* -1/18 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/60 (/ y (- (exp y) (/ 1 (exp y))))))))))) (+ (* -1/18 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/60 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1/3 (/ y (- (exp y) (/ 1 (exp y)))))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(pow x 3)
(* 2 (/ x y))
(* x (+ (* -1/3 (/ (pow x 2) y)) (* 2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/60 (/ (pow x 2) y)) (* 1/3 (/ 1 y)))) (* 2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/2520 (/ (pow x 2) y)) (* 1/60 (/ 1 y)))) (* 1/3 (/ 1 y)))) (* 2 (/ 1 y))))
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 2 (/ y (* (sin x) (- (exp y) (/ 1 (exp y))))))
(sin x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* 2 (/ (sin x) y))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+ (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 (sin x))
(+ (* -1/6 (/ (pow y 2) (sin x))) (/ 1 (sin x)))
(+ (* (pow y 2) (- (* 7/360 (/ (pow y 2) (sin x))) (* 1/6 (/ 1 (sin x))))) (/ 1 (sin x)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -31/15120 (/ (pow y 2) (sin x))) (* 7/360 (/ 1 (sin x))))) (* 1/6 (/ 1 (sin x))))) (/ 1 (sin x)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(/ 2 y)
(+ 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)))))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 1/2 (- (exp y) (/ 1 (exp 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))) y))
(/ 5040 (pow y 6))
(/ (- 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 6))
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (* 211680 (/ 1 (pow y 2)))) (pow y 6))
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (+ (* 211680 (/ 1 (pow y 2))) (* 43182720 (/ 1 (pow y 6))))) (pow y 6))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((/ 1 (/ (/ y (sinh y)) (sin x))) (/ (/ y (sinh y)) (sin x)) (/ y (sinh y)) (sinh y) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (* (sin x) (/ 2 y)) (* 1/2 (sinh y))) (* (sin x) (/ 2 y)) (* (/ 2 y) x) (/ 2 y) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (/ 1 (/ 1 (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1))) (* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (/ (sinh y) y) (+ (* -1/5040 (* x x)) 1/120) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (/ 1 (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1))
4.0ms
x
@-inf
((/ 1 (/ (/ y (sinh y)) (sin x))) (/ (/ y (sinh y)) (sin x)) (/ y (sinh y)) (sinh y) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (* (sin x) (/ 2 y)) (* 1/2 (sinh y))) (* (sin x) (/ 2 y)) (* (/ 2 y) x) (/ 2 y) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (/ 1 (/ 1 (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1))) (* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (/ (sinh y) y) (+ (* -1/5040 (* x x)) 1/120) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (/ 1 (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1))
4.0ms
y
@inf
((/ 1 (/ (/ y (sinh y)) (sin x))) (/ (/ y (sinh y)) (sin x)) (/ y (sinh y)) (sinh y) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (* (sin x) (/ 2 y)) (* 1/2 (sinh y))) (* (sin x) (/ 2 y)) (* (/ 2 y) x) (/ 2 y) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (/ 1 (/ 1 (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1))) (* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (/ (sinh y) y) (+ (* -1/5040 (* x x)) 1/120) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (/ 1 (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1))
4.0ms
y
@-inf
((/ 1 (/ (/ y (sinh y)) (sin x))) (/ (/ y (sinh y)) (sin x)) (/ y (sinh y)) (sinh y) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (* (sin x) (/ 2 y)) (* 1/2 (sinh y))) (* (sin x) (/ 2 y)) (* (/ 2 y) x) (/ 2 y) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (/ 1 (/ 1 (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1))) (* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (/ (sinh y) y) (+ (* -1/5040 (* x x)) 1/120) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (/ 1 (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1))
3.0ms
x
@0
((/ 1 (/ (/ y (sinh y)) (sin x))) (/ (/ y (sinh y)) (sin x)) (/ y (sinh y)) (sinh y) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) -1/6) x) (pow x 3) (* (* (sin x) (/ 2 y)) (* 1/2 (sinh y))) (* (sin x) (/ 2 y)) (* (/ 2 y) x) (/ 2 y) (* (sin x) (/ (sinh y) y)) (sin x) (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (/ 1 (/ 1 (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1))) (* (sin x) (/ (sinh y) y)) (sin x) (/ (sinh y) y) (/ (sinh y) y) (+ (* -1/5040 (* x x)) 1/120) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (/ 1 (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1)) (+ (* (+ (* (+ (* (* y y) 1/5040) 1/120) (* y y)) 1/6) (* y y)) 1))

simplify143.0ms (2.5%)

Memory
41.7MiB live, 41.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02601059
17711028
22350940
35682939
08202878
Stop Event
iter limit
node limit
Counts
71 → 69
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))))))))
(* 2 (/ y (* x (- (exp y) (/ 1 (exp y))))))
(/ (+ (* 1/3 (/ (* (pow x 2) y) (- (exp y) (/ 1 (exp y))))) (* 2 (/ y (- (exp y) (/ 1 (exp y)))))) x)
(/ (+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/18 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/60 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1/3 (/ y (- (exp y) (/ 1 (exp y)))))))) x)
(/ (+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2520 (/ y (- (exp y) (/ 1 (exp y))))) (+ (* 1/360 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/6 (+ (* -1/18 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/60 (/ y (- (exp y) (/ 1 (exp y))))))))))) (+ (* -1/18 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/60 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1/3 (/ y (- (exp y) (/ 1 (exp y)))))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(pow x 3)
(* 2 (/ x y))
(* x (+ (* -1/3 (/ (pow x 2) y)) (* 2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/60 (/ (pow x 2) y)) (* 1/3 (/ 1 y)))) (* 2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/2520 (/ (pow x 2) y)) (* 1/60 (/ 1 y)))) (* 1/3 (/ 1 y)))) (* 2 (/ 1 y))))
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 2 (/ y (* (sin x) (- (exp y) (/ 1 (exp y))))))
(sin x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* 2 (/ (sin x) y))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+ (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 (sin x))
(+ (* -1/6 (/ (pow y 2) (sin x))) (/ 1 (sin x)))
(+ (* (pow y 2) (- (* 7/360 (/ (pow y 2) (sin x))) (* 1/6 (/ 1 (sin x))))) (/ 1 (sin x)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -31/15120 (/ (pow y 2) (sin x))) (* 7/360 (/ 1 (sin x))))) (* 1/6 (/ 1 (sin x))))) (/ 1 (sin x)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(/ 2 y)
(+ 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)))))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 1/2 (- (exp y) (/ 1 (exp 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))) y))
(/ 5040 (pow y 6))
(/ (- 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 6))
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (* 211680 (/ 1 (pow y 2)))) (pow y 6))
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (+ (* 211680 (/ 1 (pow y 2))) (* 43182720 (/ 1 (pow y 6))))) (pow y 6))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (-.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 (/.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))))))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)))))
(* 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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (*.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)
(* 2 (/ y (* x (- (exp y) (/ 1 (exp y))))))
(*.f64 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))
(/ (+ (* 1/3 (/ (* (pow x 2) y) (- (exp y) (/ 1 (exp y))))) (* 2 (/ y (- (exp y) (/ 1 (exp y)))))) x)
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(/ (+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/18 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/60 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1/3 (/ y (- (exp y) (/ 1 (exp y)))))))) x)
(/.f64 (fma.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (fma.f64 #s(literal -7/180 binary64) (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 binary64))) x)
(/ (+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2520 (/ y (- (exp y) (/ 1 (exp y))))) (+ (* 1/360 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/6 (+ (* -1/18 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/60 (/ y (- (exp y) (/ 1 (exp y))))))))))) (+ (* -1/18 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/60 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1/3 (/ y (- (exp y) (/ 1 (exp y)))))))) x)
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 31/7560 binary64)) x) x (*.f64 #s(literal 7/180 binary64) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (*.f64 x x)) (*.f64 x x) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 2 (/ x y))
(*.f64 (/.f64 #s(literal 2 binary64) y) x)
(* x (+ (* -1/3 (/ (pow x 2) y)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) x))
(* x (+ (* (pow x 2) (- (* 1/60 (/ (pow x 2) y)) (* 1/3 (/ 1 y)))) (* 2 (/ 1 y))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal -1/3 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) y) x))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/2520 (/ (pow x 2) y)) (* 1/60 (/ 1 y)))) (* 1/3 (/ 1 y)))) (* 2 (/ 1 y))))
(fma.f64 (fma.f64 (*.f64 (/.f64 x y) x) (fma.f64 (*.f64 #s(literal -1/2520 binary64) x) x #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) y)) (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) y) x))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 2 (/ y (* (sin x) (- (exp y) (/ 1 (exp y))))))
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 x)) (/.f64 y (-.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))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* 2 (/ (sin x) y))
(*.f64 (/.f64 (sin.f64 x) y) #s(literal 2 binary64))
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/5040 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1/5040 (pow x 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) x) x)
(* -1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/5040 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(+ (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 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(+ (* -1/6 (/ (pow y 2) (sin x))) (/ 1 (sin x)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 y (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+ (* (pow y 2) (- (* 7/360 (/ (pow y 2) (sin x))) (* 1/6 (/ 1 (sin x))))) (/ 1 (sin x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -31/15120 (/ (pow y 2) (sin x))) (* 7/360 (/ 1 (sin x))))) (* 1/6 (/ 1 (sin x))))) (/ 1 (sin x)))
(fma.f64 (fma.f64 (*.f64 y (/.f64 y (sin.f64 x))) (fma.f64 #s(literal -31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (/.f64 #s(literal -1/6 binary64) (sin.f64 x))) (*.f64 y y) (/.f64 #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) (- (* 7/360 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 y y) #s(literal 7/360 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)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(+ 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))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) #s(literal 2 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 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 #s(literal 1/120 binary64) (*.f64 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 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 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))) (/ 1 (pow y 6))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 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))))
(/ 5040 (pow y 6))
(/.f64 #s(literal 5040 binary64) (pow.f64 y #s(literal 6 binary64)))
(/ (- 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 6))
(/.f64 (-.f64 #s(literal 5040 binary64) (/.f64 #s(literal 211680 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (* 211680 (/ 1 (pow y 2)))) (pow y 6))
(/.f64 (-.f64 (/.f64 #s(literal 4656960 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 211680 binary64) (*.f64 y y)) #s(literal 5040 binary64))) (pow.f64 y #s(literal 6 binary64)))
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (+ (* 211680 (/ 1 (pow y 2))) (* 43182720 (/ 1 (pow y 6))))) (pow y 6))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4656960 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 211680 binary64) (*.f64 y y)) #s(literal 5040 binary64))) (/.f64 #s(literal 43182720 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64)))

rewrite160.0ms (2.8%)

Memory
59.2MiB live, 59.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045286
077272
1268272
21631272
08506272
Stop Event
iter limit
node limit
iter limit
Counts
24 → 654
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 y (sinh.f64 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) #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) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
#s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x))
(*.f64 (/.f64 #s(literal 2 binary64) y) x)
(/.f64 #s(literal 2 binary64) y)
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #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))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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)))))
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(/.f64 #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 (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))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (/.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) y) (pow.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) y) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (pow.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (sin.f64 x) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64)) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(+.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 1 binary64))
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eval97.0ms (1.7%)

Memory
63.4MiB live, 63.4MiB allocated
Compiler

Compiled 19 615 to 2 788 computations (85.8% saved)

prune35.0ms (0.6%)

Memory
32.5MiB live, 32.5MiB allocated
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New6739682
Fresh268
Picked415
Done044
Total67920699
Accuracy
100.0%
Counts
699 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
87.4%
(/.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) (sin.f64 x))))
50.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)))
88.4%
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
90.7%
(*.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))))
87.2%
(*.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))))
90.4%
(*.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))))
87.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
76.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
90.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
39.9%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
51.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
49.2%
(*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
31.6%
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
31.9%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
31.9%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
29.4%
(*.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)))
29.4%
(*.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)))
29.4%
(*.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)))
11.1%
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Compiler

Compiled 733 to 523 computations (28.6% saved)

simplify311.0ms (5.5%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
cost-diff0
#s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
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
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
cost-diff0
(*.f64 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-diff0
(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))
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
047440
079440
1144429
2264429
3550429
41135429
51556429
61878429
72194429
82666429
93340429
103566429
113688429
124288429
135048429
145411429
155702429
165813429
175832429
186264429
196428429
206428429
216428429
226428429
236428429
246428429
256437429
06437418
Stop Event
iter limit
saturated
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 (*.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) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#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) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
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 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x 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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#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) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#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) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(*.f64 #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)

localize121.0ms (2.1%)

Memory
44.0MiB live, 44.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
accuracy0.1796875
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
accuracy8.133857055914268
#s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))
accuracy31.565013375400408
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
accuracy0.00390625
(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))))
accuracy0.0859375
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy15.120230205213964
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy0.08984375
(*.f64 (*.f64 x x) x)
accuracy0.47997476514641046
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
accuracy31.110038841225325
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy32.3085704781513
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
accuracy0.05078125
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
accuracy0.3817324886098482
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
accuracy31.110038841225325
#s(approx (/ (sinh y) y) #s(literal 1 binary64))
accuracy32.414985041840566
#s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x))
accuracy0.07259750976844202
(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))
accuracy0.13671875
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y))
accuracy5.881335917518693
#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)))
accuracy31.741602164316603
#s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))
Samples
88.0ms256×0valid
Compiler

Compiled 697 to 91 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 26.0ms (40.2% of total)
const: 16.0ms (24.7% of total)
ival-add: 12.0ms (18.5% of total)
ival-sin: 7.0ms (10.8% of total)
ival-div: 2.0ms (3.1% of total)
ival-sinh: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
25 → 54
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 #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 #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 x x)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.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) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
#s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
#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(approx (/ (sinh y) y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) 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))))
(* -1/6 (pow x 2))
(pow x 2)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(pow x 3)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 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)))))))
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)))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 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))))))
(* (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)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
Calls

6 calls:

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

simplify130.0ms (2.3%)

Memory
39.2MiB live, 39.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0152617
1460600
21370562
34193554
08200511
Stop Event
iter limit
node limit
Counts
54 → 53
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))))
(* -1/6 (pow x 2))
(pow x 2)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(pow x 3)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(sin x)
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 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)))))))
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)))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(+ 1/120 (* 1/5040 (pow y 2)))
(* 1/5040 (pow y 2))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 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))))))
(* (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)))))
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 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 #s(literal -1/12 binary64) x) x #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 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #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)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(fma.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) x #s(literal 1/2 binary64))) x (*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (pow.f64 x #s(literal 5 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(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) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(sin x)
(sin.f64 x)
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -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))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* -1/5040 (pow x 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(*.f64 (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)))))))
(*.f64 (sin.f64 x) (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)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (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))
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))
(+ 1/120 (* 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 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(* 1/6 (pow y 2))
(*.f64 (*.f64 #s(literal 1/6 binary64) y) y)
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (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))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #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 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 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))
(* 1/120 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/120 binary64))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)

rewrite158.0ms (2.8%)

Memory
55.2MiB live, 55.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047357
079346
1267346
21765346
08787336
Stop Event
iter limit
node limit
iter limit
Counts
25 → 296
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 #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 #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 x x)
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.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) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
#s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))
#s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
#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(approx (/ (sinh y) y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)
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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (pow.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)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) #s(literal -1 binary64)))
(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)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 2 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) (fma.f64 (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 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(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 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(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 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))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 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))) (fma.f64 (/.f64 #s(literal 1/36 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))) (/.f64 #s(literal 1/36 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))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 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))) (/.f64 #s(literal 1/36 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)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 2 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.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 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 2 binary64)) #s(literal 1/36 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))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 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))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y y)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(approx (+ (* 1/5040 (* y y)) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))
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(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))
(*.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(*.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #s(literal 1 binary64)))
(*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (*.f64 y y))) (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 (neg.f64 (*.f64 (*.f64 y y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (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 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (*.f64 y y)) (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) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (*.f64 y y) (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 (*.f64 #s(literal 1/6 binary64) y) y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(fma.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)))
(fma.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))

eval54.0ms (1%)

Memory
35.1MiB live, 35.1MiB allocated
Compiler

Compiled 14 687 to 1 840 computations (87.5% saved)

prune36.0ms (0.6%)

Memory
26.1MiB live, 26.1MiB allocated
Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New3618369
Fresh1910
Picked235
Done055
Total36425389
Accuracy
100.0%
Counts
389 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
87.4%
(/.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) (sin.f64 x))))
50.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)))
88.4%
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
90.7%
(*.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))))
87.2%
(*.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))))
87.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
76.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
90.1%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
90.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
39.9%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y)))))
39.9%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
29.0%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
51.2%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
49.2%
(*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
47.8%
(*.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))))
31.9%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
31.9%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
31.9%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
31.6%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
29.4%
(*.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)))
29.4%
(*.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)))
29.4%
(*.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)))
29.4%
(*.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)))
11.1%
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Compiler

Compiled 1 355 to 598 computations (55.9% saved)

regimes57.0ms (1%)

Memory
22.1MiB live, 22.1MiB allocated
Counts
37 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #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) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
(*.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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y)))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #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(literal 1 binary64) (/.f64 #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.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))))
(*.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) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) (neg.f64 (sinh.f64 y))) y))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

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

regimes48.0ms (0.8%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
30 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #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) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
(*.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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y)))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #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(literal 1 binary64) (/.f64 #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.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))))
(*.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) (/.f64 #s(literal 1 binary64) (/.f64 #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))))))
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 (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
Calls

5 calls:

10.0ms
(sin.f64 x)
10.0ms
x
10.0ms
y
9.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
8.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
90.7%1x
97.4%3y
92.6%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
90.7%1(sin.f64 x)
90.7%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes11.0ms (0.2%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
28 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #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) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
(*.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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y)))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #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(literal 1 binary64) (/.f64 #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.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))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))
Calls

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
97.3%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
26 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #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) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
(*.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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y)))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #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(literal 1 binary64) (/.f64 #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
Calls

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
96.5%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
25 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #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) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
(*.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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y)))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #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(literal 1 binary64) (/.f64 #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
94.9%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.2%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
21 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #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) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
(*.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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y)))))
Outputs
(*.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) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
94.8%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes34.0ms (0.6%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
19 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #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) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
(*.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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
Outputs
(*.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) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
Calls

5 calls:

7.0ms
x
7.0ms
y
7.0ms
(sin.f64 x)
6.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
76.2%1(/.f64 (sinh.f64 y) y)
81.2%3x
81.2%3(sin.f64 x)
86.5%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
91.7%3y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #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) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
(*.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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
Outputs
(*.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) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
91.7%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.2%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
17 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #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) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
(*.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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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 (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 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Calls

2 calls:

6.0ms
y
6.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
81.0%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
80.7%3y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes22.0ms (0.4%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
14 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #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) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
(*.f64 (sin.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #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))))
Calls

4 calls:

5.0ms
x
5.0ms
(sin.f64 x)
5.0ms
y
5.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
80.3%3y
76.2%1(sin.f64 x)
76.2%1x
79.1%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes11.0ms (0.2%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
13 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #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) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
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) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))
Calls

2 calls:

5.0ms
y
5.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
79.9%3y
78.8%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes24.0ms (0.4%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
12 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (pow x 3) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))) #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 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Calls

5 calls:

5.0ms
x
5.0ms
y
5.0ms
(sin.f64 x)
4.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
67.5%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
51.2%1x
51.2%1(sin.f64 x)
59.2%2(/.f64 (sinh.f64 y) y)
61.2%3y
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes20.0ms (0.3%)

Memory
10.4MiB live, 10.4MiB 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) (*.f64 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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Calls

5 calls:

4.0ms
(sin.f64 x)
4.0ms
y
4.0ms
x
4.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
33.5%2x
40.7%2(sin.f64 x)
31.9%1(/.f64 (sinh.f64 y) y)
35.5%3y
40.7%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
6 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
(sin.f64 x)
3.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
40.7%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
40.7%2(sin.f64 x)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes6.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
5 → 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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)))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
(sin.f64 x)
3.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
38.1%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
38.1%2(sin.f64 x)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes13.0ms (0.2%)

Memory
8.2MiB live, 8.2MiB 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:

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
29.4%1(/.f64 (sinh.f64 y) y)
29.4%1x
29.4%1y
29.4%1(sin.f64 x)
29.4%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch30.0ms (0.5%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
9.614228728836244e+50
6.009813444856725e+57
12.0ms
0.4618917044721421
1.8740722646502466
Samples
17.0ms240×0valid
Compiler

Compiled 817 to 602 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 6.0ms (53.8% of total)
ival-div: 2.0ms (17.9% of total)
ival-mult: 2.0ms (17.9% of total)
ival-sinh: 2.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
9.614228728836244e+50
6.009813444856725e+57
3.0ms
0.4618917044721421
1.8740722646502466
Samples
1.0ms16×0valid
Compiler

Compiled 787 to 596 computations (24.3% saved)

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

bsearch19.0ms (0.3%)

Memory
5.3MiB live, 5.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.5226417016798523e+75
3.2325302755833513e+83
1.0ms
0.4618917044721421
1.8740722646502466
Samples
10.0ms144×0valid
Compiler

Compiled 742 to 578 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 3.0ms (47.9% of total)
ival-div: 1.0ms (16% of total)
ival-mult: 1.0ms (16% of total)
ival-sinh: 1.0ms (16% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.2%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
1.5226417016798523e+75
3.2325302755833513e+83
8.0ms
0.4618917044721421
1.8740722646502466
Samples
5.0ms64×0valid
Compiler

Compiled 667 to 533 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sin: 1.0ms (33.2% of total)
ival-sinh: 1.0ms (33.2% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
1.5226417016798523e+75
3.2325302755833513e+83
3.0ms
0.4618917044721421
1.8740722646502466
Samples
1.0ms16×0valid
Compiler

Compiled 637 to 515 computations (19.2% saved)

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

bsearch19.0ms (0.3%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
9.774273278379591e+148
1.0585812453789362e+157
1.0ms
0.4618917044721421
1.8740722646502466
Samples
10.0ms144×0valid
Compiler

Compiled 682 to 506 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 4.0ms (61.2% of total)
ival-div: 1.0ms (15.3% of total)
ival-mult: 1.0ms (15.3% of total)
ival-sinh: 1.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.774273278379591e+148
1.0585812453789362e+157
1.0ms
0.4618917044721421
1.8740722646502466
Compiler

Compiled 682 to 506 computations (25.8% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-10.567776624488971
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-10.567776624488971
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch20.0ms (0.4%)

Memory
5.3MiB live, 5.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.0511576091155552e+138
7.093623175049675e+138
10.0ms
1988456.4755220888
6731405.019444623
Samples
11.0ms160×0valid
Compiler

Compiled 520 to 346 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 4.0ms (52.6% of total)
ival-div: 1.0ms (13.2% of total)
ival-mult: 1.0ms (13.2% of total)
ival-sinh: 1.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
471.182565651536
+inf
0.0ms
-inf
-10.567776624488971
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.015965163650357158
3.47362894769462e-309
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9286029339577448e-295
4.819878886648342e-295
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.015965163650357158
3.47362894769462e-309
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify34.0ms (0.6%)

Memory
20.9MiB live, 20.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01571062
11911062
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 3332663724254167/2251799813685248 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)))) (if (<=.f64 y #s(literal 9599999999999999403229908959905279412509576930525184 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 1553741871442821/1125899906842624 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9599999999999999403229908959905279412509576930525184 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 1553741871442821/1125899906842624 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 380000000000000011455098931408117341711416484134281558953778987194962140987392 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(if (<=.f64 y #s(literal 4368491638549381/4503599627370496 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 380000000000000011455098931408117341711416484134281558953778987194962140987392 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(if (<=.f64 y #s(literal 2116691824864133/2251799813685248 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 380000000000000011455098931408117341711416484134281558953778987194962140987392 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(if (<=.f64 y #s(literal 2116691824864133/2251799813685248 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 33999999999999997385945714264732131596311799179418596210267929689480641054901534033468063226777126186016033121888357170920470762342405313696510302276812800 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))))
(if (<=.f64 y #s(literal 2116691824864133/2251799813685248 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 33999999999999997385945714264732131596311799179418596210267929689480641054901534033468063226777126186016033121888357170920470762342405313696510302276812800 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 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 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #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)))))
(if (<=.f64 y #s(literal 2000000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 6999999999999999568834968634185883600993779931746242040181511019530009763642720694402217973082746063598436093774972201459327409416122138624 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))))
(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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 500 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) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))))
(if (<=.f64 (sin.f64 x) #s(literal 4602094425247529/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -5764607523034235/576460752303423488 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))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 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 #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 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(if (<=.f64 y #s(literal 3332663724254167/2251799813685248 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)))) (if (<=.f64 y #s(literal 9599999999999999403229908959905279412509576930525184 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 3332663724254167/2251799813685248 binary64)) (*.f64 #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)) (if (<=.f64 y #s(literal 9599999999999999403229908959905279412509576930525184 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(approx (* (sin x) (/ 2 y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)) (/.f64 x y)))) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))))
(if (<=.f64 y #s(literal 1553741871442821/1125899906842624 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9599999999999999403229908959905279412509576930525184 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 1553741871442821/1125899906842624 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (sin.f64 x)) (if (<=.f64 y #s(literal 9599999999999999403229908959905279412509576930525184 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(approx (* (sin x) (/ 2 y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)) (/.f64 x y)))) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(approx (+ (* (+ (* 1/5040 (* y y)) 1/120) (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) y) y)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x))))
(if (<=.f64 y #s(literal 1553741871442821/1125899906842624 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 380000000000000011455098931408117341711416484134281558953778987194962140987392 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (*.f64 (/.f64 x y) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(if (<=.f64 y #s(literal 1553741871442821/1125899906842624 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (sin.f64 x)) (if (<=.f64 y #s(literal 380000000000000011455098931408117341711416484134281558953778987194962140987392 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) #s(approx (* (sin x) (/ 2 y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 2 binary64)) (/.f64 x y)))) (*.f64 #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) (sin.f64 x))))
(if (<=.f64 y #s(literal 4368491638549381/4503599627370496 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 380000000000000011455098931408117341711416484134281558953778987194962140987392 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(if (<=.f64 y #s(literal 4368491638549381/4503599627370496 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (sin.f64 x)) (if (<=.f64 y #s(literal 380000000000000011455098931408117341711416484134281558953778987194962140987392 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) (sin.f64 x))))
(if (<=.f64 y #s(literal 2116691824864133/2251799813685248 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 380000000000000011455098931408117341711416484134281558953778987194962140987392 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))))))
(if (<=.f64 y #s(literal 2116691824864133/2251799813685248 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (sin.f64 x)) (if (<=.f64 y #s(literal 380000000000000011455098931408117341711416484134281558953778987194962140987392 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y))) (sin.f64 x))))
(if (<=.f64 y #s(literal 2116691824864133/2251799813685248 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 33999999999999997385945714264732131596311799179418596210267929689480641054901534033468063226777126186016033121888357170920470762342405313696510302276812800 binary64)) (*.f64 #s(approx (* (sin x) (/ 2 y)) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 #s(approx (* (+ (* (* y y) 1/120) 1/6) y) (*.f64 #s(literal 1/6 binary64) y)) y))))))
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(*.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)))
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soundness1.2s (21.1%)

Memory
26.5MiB live, 26.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045286
077272
1268272
21631272
08506272
034196
060186
1205184
21261171
08329171
0615
01015
12615
212115
387015
0838415
0152617
1460600
21370562
34193554
08200511
0169629
1535622
21561560
33696556
47988556
08021506
092363
1288356
2898306
33148298
47374298
08537268
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 2 279 to 1 099 computations (51.8% saved)

preprocess120.0ms (2.1%)

Memory
59.6MiB live, 59.6MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 2 222 to 410 computations (81.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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