Linear.Quaternion:$ccos from linear-1.19.1.3

Time bar (total: 12.7s)

analyze15.0ms (0.1%)

Memory
-1.0MiB live, 38.4MiB allocated
Algorithm
1×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)

sample983.0ms (7.8%)

Memory
38.5MiB live, 1 348.2MiB allocated
Samples
681.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 451.0ms
ival-sin: 276.0ms (61.1% of total)
ival-div: 64.0ms (14.2% of total)
ival-mult: 59.0ms (13.1% of total)
ival-sinh: 43.0ms (9.5% of total)
ival-true: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess572.0ms (4.5%)

Memory
-22.8MiB live, 252.8MiB allocated
Algorithm
1×egg-herbie
Rules
2 656×lower-fma.f64
2 656×lower-fma.f32
1 792×lower-*.f32
1 790×lower-*.f64
1 194×div-sub
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
1×iter limit
1×saturated
1×iter limit
1×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))
Symmetry

(abs y)

(negabs x)

explain143.0ms (1.1%)

Memory
1.9MiB live, 110.4MiB 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
35.0ms512×0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sin: 12.0ms (55.2% of total)
ival-div: 4.0ms (18.4% of total)
ival-mult: 3.0ms (13.8% of total)
ival-sinh: 3.0ms (13.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune29.0ms (0.2%)

Memory
-38.4MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify414.0ms (3.3%)

Memory
12.8MiB live, 166.1MiB allocated
Algorithm
1×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))
Rules
2 656×lower-fma.f64
2 656×lower-fma.f32
1 792×lower-*.f32
1 790×lower-*.f64
1 194×div-sub
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
1×iter limit
1×saturated
1×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))
(sin.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize47.0ms (0.4%)

Memory
1.6MiB live, 40.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
✓accuracy100.0%
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(sin.f64 x)
Samples
18.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 6.0ms (52.9% of total)
ival-div: 2.0ms (17.6% of total)
ival-mult: 2.0ms (17.6% of total)
ival-sinh: 2.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
21.7MiB live, 21.7MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))>
#<alt (sin.f64 x)>
#<alt (/.f64 (sinh.f64 y) y)>
#<alt (sinh.f64 y)>
Outputs
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
Calls

15 calls:

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

simplify576.0ms (4.5%)

Memory
8.2MiB live, 487.6MiB allocated
Algorithm
1×egg-herbie
Rules
15 526×lower-fma.f64
15 526×lower-fma.f32
6 162×lower-*.f64
6 162×lower-*.f32
2 900×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092700
1288693
2897643
33139635
47365635
08523605
Stop Event
1×iter limit
1×node limit
Counts
60 → 58
Calls
Call 1
Inputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(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)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) 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))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(*.f64 x (fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/10080 binary64)) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal -1/12 binary64))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
y
(* y (+ 1 (* 1/6 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 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 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y)
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))

rewrite267.0ms (2.1%)

Memory
-25.5MiB live, 528.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 128×lower-*.f32
5 126×lower-*.f64
4 518×lower-/.f32
4 516×lower-/.f64
1 718×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
12615
212115
387015
0838415
Stop Event
1×iter limit
1×node limit
1×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 (sin.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) #s(literal 0 binary64)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 x) y))) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (sin.f64 x) y))) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sin.f64 x) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) y) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) y)))
(fma.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sin.f64 x) y))))
(fma.f64 (neg.f64 (/.f64 (sin.f64 x) y)) #s(literal 0 binary64) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
(fma.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y))))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 y) y) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (+.f64 y y))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (-.f64 (neg.f64 y) y))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 y (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (/.f64 #s(literal -1 binary64) (sinh.f64 y)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (/.f64 y (sinh.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) y))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 x) (/.f64 y (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -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 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (+.f64 y y))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) y))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y))))) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (fma.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal -4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (sin.f64 x) y)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (sin.f64 x) y)) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (sin.f64 x)) (*.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (sin.f64 x)) (*.f64 y (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) (/.f64 (sin.f64 x) y)) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (/.f64 (sin.f64 x) y)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 (sin.f64 x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) y)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 (sin.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (neg.f64 (/.f64 (sin.f64 x) y))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (neg.f64 (/.f64 (sin.f64 x) y))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (neg.f64 (/.f64 (sin.f64 x) y))) (fma.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (neg.f64 (/.f64 (sin.f64 x) y))) (*.f64 #s(literal -4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 x) y))) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
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(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(*.f64 (cosh.f64 y) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1/4 binary64))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))))
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)))
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (+.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 y y)) (expm1.f64 (-.f64 (neg.f64 y) y))))

eval82.0ms (0.6%)

Memory
5.9MiB live, 237.7MiB allocated
Compiler

Compiled 13 190 to 2 059 computations (84.4% saved)

prune143.0ms (1.1%)

Memory
25.9MiB live, 264.1MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6939702
Fresh000
Picked101
Done000
Total6949703
Accuracy
100.0%
Counts
703 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
99.6%
(*.f64 (sin.f64 x) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64))) y))
▶50.1%
(*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
▶88.5%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶92.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
76.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
63.3%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
62.5%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
▶48.3%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
Compiler

Compiled 274 to 166 computations (39.4% saved)

simplify194.0ms (1.5%)

Memory
-4.1MiB live, 400.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
✓cost-diff256
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y)))
✓cost-diff640
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y)
✓cost-diff0
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓cost-diff0
(sin.f64 x)
✓cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
✓cost-diff0
(sinh.f64 y)
✓cost-diff0
(/.f64 y (sinh.f64 y))
✓cost-diff0
(sin.f64 x)
✓cost-diff384
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
Rules
3 506×lower-fma.f32
3 496×lower-fma.f64
3 284×lower-*.f32
3 270×lower-*.f64
1 702×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032244
056232
1126232
2350230
31091230
44269230
57791230
08497230
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(sin.f64 x)
x
(/.f64 y (sinh.f64 y))
y
(sinh.f64 y)
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(sin.f64 x)
x
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
(sin.f64 x)
x
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y)
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y)))
(neg.f64 (sinh.f64 y))
(sinh.f64 y)
y
(neg.f64 (*.f64 y y))
(*.f64 y y)
Outputs
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
(sin.f64 x)
x
(/.f64 y (sinh.f64 y))
y
(sinh.f64 y)
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(sin.f64 x)
x
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
(sin.f64 x)
x
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y)
(/.f64 (sinh.f64 y) y)
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y)))
(/.f64 (sinh.f64 y) (*.f64 y y))
(neg.f64 (sinh.f64 y))
(sinh.f64 y)
y
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(*.f64 y y)

localize158.0ms (1.2%)

Memory
-15.7MiB live, 340.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.9%
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y)
✓accuracy79.6%
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y)))
✓accuracy100.0%
(sin.f64 x)
✓accuracy100.0%
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓accuracy99.8%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓accuracy98.6%
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓accuracy100.0%
(sin.f64 x)
✓accuracy100.0%
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓accuracy99.9%
(*.f64 y #s(literal 1/120 binary64))
✓accuracy98.5%
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(sin.f64 x)
✓accuracy98.1%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
✓accuracy100.0%
(/.f64 y (sinh.f64 y))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(sin.f64 x)
✓accuracy100.0%
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
Samples
71.0ms130×2exit
33.0ms125×0valid
2.0ms1×5exit
Compiler

Compiled 196 to 32 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 22.0ms (28.9% of total)
adjust: 15.0ms (19.7% of total)
const: 12.0ms (15.7% of total)
ival-add: 9.0ms (11.8% of total)
ival-sin: 9.0ms (11.8% of total)
ival-div: 6.0ms (7.9% of total)
ival-neg: 2.0ms (2.6% of total)
ival-sinh: 1.0ms (1.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
19.3MiB live, 19.2MiB allocated
Counts
18 → 276
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))>
#<alt (sin.f64 x)>
#<alt (/.f64 y (sinh.f64 y))>
#<alt (sinh.f64 y)>
#<alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))>
#<alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))>
#<alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))>
#<alt (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y)>
#<alt (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y)))>
#<alt (*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))>
#<alt (*.f64 y #s(literal 1/120 binary64))>
#<alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))>
#<alt (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))>
Outputs
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6)))>
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))>
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))>
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))>
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))>
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))>
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))>
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))>
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))>
#<alt y>
#<alt (* y (+ 1 (* 1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))>
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))>
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/6 y)>
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))>
#<alt (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))>
#<alt (* 1/5040 (pow y 5))>
#<alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* 1/5040 (pow y 5))>
#<alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))>
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow y 2)))>
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))>
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))>
#<alt (* 1/5040 (pow y 4))>
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* 1/5040 (pow y 4))>
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
Calls

69 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/ y (sinh y))
1.0ms
y
@inf
(/ y (sinh y))
0.0ms
y
@inf
(+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)
0.0ms
y
@inf
(/ (neg (sinh y)) (neg (* y y)))
0.0ms
y
@inf
(+ (* y (* y (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6))) 1)

simplify858.0ms (6.8%)

Memory
-21.0MiB live, 585.4MiB allocated
Algorithm
1×egg-herbie
Rules
14 788×lower-fma.f64
14 788×lower-fma.f32
5 282×lower-*.f64
5 282×lower-*.f32
2 450×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01593480
14893445
213863233
343333191
474733191
081593033
Stop Event
1×iter limit
1×node limit
Counts
276 → 274
Calls
Call 1
Inputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(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)))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp y)))))
(* 2 (/ y (- (exp y) (/ 1 (exp 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))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
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)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (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 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
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)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
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)))))))
(* 1/5040 (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))))))
(* 1/5040 (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
(+ 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)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/ 1 y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow y 2)))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
Outputs
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(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/10080 binary64)) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal -1/12 binary64)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/5040 (pow y 5))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))
(* 1/5040 (pow y 5))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y) (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y) (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/5040 (pow y 4))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/5040 (pow y 4))
(*.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))

rewrite347.0ms (2.7%)

Memory
-8.5MiB live, 714.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 744×lower-*.f32
4 730×lower-*.f64
4 474×lower-/.f32
4 468×lower-/.f64
3 356×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032196
056184
1208182
21445182
08396182
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 723
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(sin.f64 x)
(/.f64 y (sinh.f64 y))
(sinh.f64 y)
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y)
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y)))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
(*.f64 y #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sinh.f64 y))) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 y (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sinh.f64 y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (neg.f64 (*.f64 (sinh.f64 y) y)) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sin.f64 x) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 y (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 y) (sinh.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 x) y) (/.f64 (*.f64 y y) (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sinh.f64 y) y))) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 (sinh.f64 y) y)) (sin.f64 x)) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 y (sin.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (/.f64 y (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 (/.f64 y (sin.f64 x)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (sin.f64 x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))

eval152.0ms (1.2%)

Memory
35.0MiB live, 417.9MiB allocated
Compiler

Compiled 25 400 to 2 500 computations (90.2% saved)

prune365.0ms (2.9%)

Memory
-134.2MiB live, 334.8MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1 110111 121
Fresh314
Picked235
Done000
Total1 115151 130
Accuracy
100.0%
Counts
1 130 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.1%
(/.f64 (sin.f64 x) #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
▶90.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64)))
✓88.5%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
76.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓92.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
57.8%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶59.7%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
62.5%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
32.0%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
57.4%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶58.9%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓48.3%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
▶37.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
35.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
▶35.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
Compiler

Compiled 554 to 311 computations (43.9% saved)

simplify271.0ms (2.1%)

Memory
-2.1MiB live, 394.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
✓cost-diff0
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
✓cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
✓cost-diff0
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
✓cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
✓cost-diff0
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
✓cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
✓cost-diff0
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
✓cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64)))
✓cost-diff7168
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
Rules
4 820×lower-fma.f32
4 802×lower-fma.f64
3 578×lower-*.f32
3 560×lower-*.f64
1 516×lower-neg.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042488
075460
1151446
2340446
3772446
41583446
52436446
63982446
75767446
08165446
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(sin.f64 x)
x
(sinh.f64 y)
#s(literal -1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
x
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
(*.f64 (sinh.f64 y) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (sinh.f64 y) (sin.f64 x))
(sin.f64 x)
x
(sinh.f64 y)
#s(literal -1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
#s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)))
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
#s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
#s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
#s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
x
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize196.0ms (1.5%)

Memory
-4.8MiB live, 274.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓accuracy99.8%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓accuracy98.6%
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓accuracy75.8%
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓accuracy98.6%
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓accuracy75.8%
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
✓accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy98.1%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
✓accuracy75.9%
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
✓accuracy99.9%
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy98.1%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
✓accuracy75.8%
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))
✓accuracy99.9%
(*.f64 (sin.f64 x) (sinh.f64 y))
✓accuracy99.7%
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
✓accuracy91.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64)))
Samples
62.0ms131×1exit
51.0ms125×0valid
Compiler

Compiled 341 to 43 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 31.0ms (35.4% of total)
const: 14.0ms (16% of total)
ival-add: 13.0ms (14.8% of total)
adjust: 9.0ms (10.3% of total)
ival-sin: 7.0ms (8% of total)
ival-div: 6.0ms (6.8% of total)
ival-pow: 5.0ms (5.7% of total)
ival-sinh: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
2.6MiB live, 46.0MiB allocated
Counts
21 → 348
Calls
Call 1
Inputs
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))>
#<alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))>
#<alt #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))>
#<alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)>
#<alt (*.f64 x (*.f64 x x))>
#<alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))>
#<alt #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))>
#<alt (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))>
#<alt (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))>
#<alt #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))>
#<alt (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))>
#<alt (*.f64 (sin.f64 x) (sinh.f64 y))>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))>
#<alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))>
Outputs
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))>
#<alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))>
#<alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
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#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* y (sin x))>
#<alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))>
#<alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))>
#<alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
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#<alt (sin x)>
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#<alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
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#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
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#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
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#<alt (/ 1 y)>
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#<alt (/ 2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (/ (+ (* 1/3 (/ (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 2 (/ 1 (- (exp y) (/ 1 (exp y)))))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* 7/180 (/ (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/3 (/ 1 (- (exp y) (/ 1 (exp y))))))) (* 2 (/ 1 (- (exp y) (/ 1 (exp y)))))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 31/7560 (/ (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 7/180 (/ 1 (- (exp y) (/ 1 (exp y))))))) (* 1/3 (/ 1 (- (exp y) (/ 1 (exp y))))))) (* 2 (/ 1 (- (exp y) (/ 1 (exp y)))))) x)>
#<alt (/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
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#<alt (/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (/ 1 (* y (sin x)))>
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#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
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#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
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#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
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#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
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#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
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#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
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#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
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#<alt (pow x 3)>
#<alt (pow x 3)>
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#<alt (pow x 3)>
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#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
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#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))>
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#<alt x>
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#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
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#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (* -1/5040 (pow x 7))>
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#<alt (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
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#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt -1/6>
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#<alt (* -1/5040 (pow x 4))>
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#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))>
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#<alt (* 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))))))>
#<alt (* 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))))))))>
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#<alt (* 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))))))))>
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#<alt -1/6>
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#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))>
#<alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))>
#<alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))>
#<alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* y (sin x))>
#<alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))>
#<alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))>
#<alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow x 2)))>
#<alt (+ 1/120 (* -1/5040 (pow x 2)))>
#<alt (+ 1/120 (* -1/5040 (pow x 2)))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/6 y)>
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))>
#<alt (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))>
#<alt (* 1/5040 (pow y 5))>
#<alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* 1/5040 (pow y 5))>
#<alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))>
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))>
Calls

87 calls:

TimeVariablePointExpression
8.0ms
y
@0
(/ 1 (* (sin x) (sinh y)))
1.0ms
x
@inf
(+ (* -1/6 (* x (* x x))) x)
1.0ms
y
@-inf
(/ 1 (* (sin x) (sinh y)))
1.0ms
y
@inf
(/ 1 (* (sin x) (sinh y)))
1.0ms
x
@0
(/ 1 (* (sin x) (sinh y)))

simplify350.0ms (2.8%)

Memory
2.6MiB live, 510.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 762×lower-fma.f64
8 762×lower-fma.f32
4 970×lower-*.f64
4 970×lower-*.f32
3 034×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02394336
17084191
221923963
347653933
479003933
081713765
Stop Event
1×iter limit
1×node limit
Counts
348 → 342
Calls
Call 1
Inputs
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 2 (* x (- (exp y) (/ 1 (exp y)))))
(/ (+ (* 1/3 (/ (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 2 (/ 1 (- (exp y) (/ 1 (exp y)))))) x)
(/ (+ (* (pow x 2) (+ (* 7/180 (/ (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/3 (/ 1 (- (exp y) (/ 1 (exp y))))))) (* 2 (/ 1 (- (exp y) (/ 1 (exp y)))))) x)
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 31/7560 (/ (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 7/180 (/ 1 (- (exp y) (/ 1 (exp y))))))) (* 1/3 (/ 1 (- (exp y) (/ 1 (exp y))))))) (* 2 (/ 1 (- (exp y) (/ 1 (exp y)))))) x)
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 1 (* y (sin x)))
(/ (+ (* -1/6 (/ (pow y 2) (sin x))) (/ 1 (sin x))) y)
(/ (+ (* (pow y 2) (- (* 7/360 (/ (pow y 2) (sin x))) (* 1/6 (/ 1 (sin x))))) (/ 1 (sin x))) y)
(/ (+ (* (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))) y)
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin 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))))
(* -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 7))
(* -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))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -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)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -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)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin 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) (- (* 1/120 (pow x 2)) 1/6))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* y (sin x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
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)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* 1/5040 (pow y 5))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
Outputs
(* 1/2 (* x (- (exp y) (/ 1 (exp y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x (*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (fma.f64 y (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #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 y y) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (sin.f64 x))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) x)) y)
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) 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 x (fma.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 2 (* x (- (exp y) (/ 1 (exp y)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/ (+ (* 1/3 (/ (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 2 (/ 1 (- (exp y) (/ 1 (exp y)))))) x)
(/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)
(/ (+ (* (pow x 2) (+ (* 7/180 (/ (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/3 (/ 1 (- (exp y) (/ 1 (exp y))))))) (* 2 (/ 1 (- (exp y) (/ 1 (exp y)))))) x)
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 (*.f64 x x) #s(literal 7/180 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 31/7560 (/ (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 7/180 (/ 1 (- (exp y) (/ 1 (exp y))))))) (* 1/3 (/ 1 (- (exp y) (/ 1 (exp y))))))) (* 2 (/ 1 (- (exp y) (/ 1 (exp y)))))) x)
(/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 31/7560 binary64) #s(literal 7/180 binary64))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x)
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/ 2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
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(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))
(*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x (*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)))))))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* y (sin x))
(*.f64 y (sin.f64 x))
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))
(*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/5040 (pow y 5))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))
(* 1/5040 (pow y 5))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y))))

rewrite386.0ms (3%)

Memory
16.2MiB live, 519.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 452×lower-fma.f32
5 434×lower-fma.f64
4 286×lower-*.f32
4 268×lower-*.f64
3 878×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042305
075287
1280273
21953273
08220273
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 527
Calls
Call 1
Inputs
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x x))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 (sin.f64 x) (sinh.f64 y))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
Outputs
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x))))
(/.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))))
(*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (sinh.f64 y) (sin.f64 x))
(*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))))))
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (sinh.f64 y))
(*.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (sinh.f64 y))
(*.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (pow.f64 (sinh.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (sinh.f64 y) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(literal 1 binary64)))
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eval161.0ms (1.3%)

Memory
18.6MiB live, 334.3MiB allocated
Compiler

Compiled 31 765 to 1 969 computations (93.8% saved)

prune186.0ms (1.5%)

Memory
-3.6MiB live, 270.8MiB allocated
Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New1 036151 051
Fresh077
Picked235
Done033
Total1 038281 066
Accuracy
100.0%
Counts
1 066 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.1%
(/.f64 (sin.f64 x) #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
39.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))) #s(literal -1 binary64)))
✓88.5%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶76.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓92.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
58.9%
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
57.8%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶50.1%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶54.8%
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
59.3%
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
62.5%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
32.0%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
57.4%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
29.5%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
✓58.9%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
57.4%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
50.1%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓48.3%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
✓37.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
▶35.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
35.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
35.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
35.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
35.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
36.9%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
✓35.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
15.6%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))))
▶13.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
Compiler

Compiled 1 123 to 577 computations (48.6% saved)

simplify401.0ms (3.2%)

Memory
0.3MiB live, 293.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
✓cost-diff0
(fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)
✓cost-diff0
#s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x))
✓cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
✓cost-diff0
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
✓cost-diff0
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓cost-diff0
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
✓cost-diff0
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
✓cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
✓cost-diff0
#s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
✓cost-diff0
#s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))
✓cost-diff0
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
✓cost-diff0
(fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #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(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Rules
5 154×lower-fma.f32
5 130×lower-fma.f64
3 446×lower-*.f32
3 422×lower-*.f64
2 116×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061590
0101540
1195528
2362528
3685528
41155528
51599528
62325528
73390528
84617528
95641528
106273528
116586528
127763528
08475516
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
#s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))
#s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
x
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))
#s(literal 1/14400 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal -1/36 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 x (*.f64 x x))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 y y)
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (sin.f64 x))
(sin.f64 x)
x
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y y)
y
#s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
#s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))
#s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
#s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
x
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x)
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))
#s(literal 1/14400 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x x)
x
#s(literal -1/36 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 x (*.f64 x x))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(*.f64 y y)
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1 binary64)

localize269.0ms (2.1%)

Memory
-41.2MiB live, 461.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
✓accuracy92.4%
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
✓accuracy68.2%
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
✓accuracy49.8%
#s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x))
✓accuracy99.8%
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓accuracy99.5%
(*.f64 y #s(literal 1/6 binary64))
✓accuracy76.9%
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓accuracy49.8%
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy49.9%
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
✓accuracy48.4%
#s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))
✓accuracy48.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
✓accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
✓accuracy53.1%
#s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
✓accuracy49.5%
#s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))
✓accuracy48.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.9%
(fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓accuracy88.6%
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓accuracy49.1%
#s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))
Samples
123.0ms256×0valid
Compiler

Compiled 355 to 57 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 47.0ms (48.8% of total)
const: 20.0ms (20.7% of total)
ival-add: 16.0ms (16.6% of total)
ival-sin: 8.0ms (8.3% of total)
ival-div: 4.0ms (4.1% of total)
ival-sinh: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
28 → 396
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))>
#<alt (sin.f64 x)>
#<alt #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))>
#<alt #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))>
#<alt #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))>
#<alt (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))>
#<alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))>
#<alt #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))>
#<alt (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))>
#<alt (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))>
#<alt (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))>
#<alt (*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))>
#<alt #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x))>
#<alt (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)>
#<alt (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))>
#<alt #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))>
#<alt (*.f64 x #s(literal -1/6 binary64))>
#<alt #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))>
#<alt (*.f64 x (*.f64 x x))>
#<alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 y #s(literal 1/6 binary64))>
#<alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))>
Outputs
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))>
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 1/120 (pow y 4))>
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#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
Calls

99 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x)
0.0ms
x
@-inf
(+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x)
0.0ms
x
@inf
(* (* x x) (* x -1/6))
0.0ms
x
@inf
(/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6))
0.0ms
x
@0
(+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x)

simplify706.0ms (5.6%)

Memory
13.5MiB live, 601.3MiB allocated
Algorithm
1×egg-herbie
Rules
19 592×lower-fma.f64
19 592×lower-fma.f32
5 322×lower-*.f64
5 322×lower-*.f32
3 354×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01624030
14683929
214253739
344723699
080933495
Stop Event
1×iter limit
1×node limit
Counts
396 → 387
Calls
Call 1
Inputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(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)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (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 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin 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))))
(* -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 7))
(* -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))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -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)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -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)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin 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) (- (* 1/120 (pow x 2)) 1/6))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 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)))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (sin x) (- (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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin 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) (- (* 1/120 (pow x 2)) 1/6))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(+ 1/6 (* 1/120 (pow y 2)))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
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)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
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)))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
Outputs
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/10080 binary64)) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/120 (pow y 4))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/120 (pow y 4))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)))
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/10080 binary64)) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64))))))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/6 (* (pow y 2) (sin x))))
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #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 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(* -1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(* -1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
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(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
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(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))

rewrite703.0ms (5.5%)

Memory
-14.7MiB live, 581.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 488×lower-fma.f32
7 466×lower-fma.f64
5 050×lower-*.f32
5 026×lower-*.f64
4 212×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061467
0101398
1382389
22737389
09359377
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 433
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))
#s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))
(*.f64 x #s(literal -1/6 binary64))
#s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))
(*.f64 x (*.f64 x x))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 y #s(literal 1/6 binary64))
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
Outputs
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(sin.f64 x)
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))))
(+.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))))))
(fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (*.f64 #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))))) (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64))) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2985984000000 binary64)) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2985984000000 binary64)) #s(literal -1/46656 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2985984000000 binary64)) #s(literal -1/46656 binary64)) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2985984000000 binary64)) #s(literal -1/46656 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2985984000000 binary64)) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2985984000000 binary64)) #s(literal -1/46656 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2985984000000 binary64)) #s(literal -1/46656 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/1296 binary64)) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/1296 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/1296 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/207360000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/1296 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))

eval250.0ms (2%)

Memory
12.4MiB live, 138.2MiB allocated
Compiler

Compiled 30 955 to 1 399 computations (95.5% saved)

prune216.0ms (1.7%)

Memory
0.3MiB live, 238.8MiB allocated
Pruning

35 alts after pruning (26 fresh and 9 done)

PrunedKeptTotal
New84515860
Fresh61117
Picked235
Done066
Total85335888
Accuracy
100.0%
Counts
888 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.1%
(/.f64 (sin.f64 x) #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
39.0%
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))) #s(literal -1 binary64)))
✓88.5%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓76.7%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓92.3%
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
58.9%
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
45.2%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
57.8%
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
30.8%
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
45.2%
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
50.1%
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
49.8%
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
50.1%
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
50.1%
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
62.5%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
32.0%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
57.4%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
29.5%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
✓58.9%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
57.4%
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
21.1%
(*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
18.6%
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓48.3%
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
35.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
✓37.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
✓35.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
35.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
36.9%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
✓35.4%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
15.6%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))))
35.7%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
13.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
13.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
✓13.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
13.3%
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
Compiler

Compiled 1 763 to 559 computations (68.3% saved)

regimes118.0ms (0.9%)

Memory
-19.7MiB live, 138.1MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(/.f64 (sin.f64 x) #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (sin x) (sinh y)) (*.f64 y (sin.f64 x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64))) y))
Outputs
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
Calls

5 calls:

34.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
33.0ms
(/.f64 (sinh.f64 y) y)
17.0ms
x
15.0ms
(sin.f64 x)
15.0ms
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 25 to 17 computations (32% saved)

regimes72.0ms (0.6%)

Memory
25.1MiB live, 142.2MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(/.f64 (sin.f64 x) #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

16.0ms
(sin.f64 x)
15.0ms
y
14.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
14.0ms
x
10.0ms
(/.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 25 to 17 computations (32% saved)

regimes108.0ms (0.9%)

Memory
-29.7MiB live, 131.3MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(/.f64 (sin.f64 x) #s(approx (/ y (sinh y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (*.f64 y y))) y))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

20.0ms
(sin.f64 x)
17.0ms
y
13.0ms
x
13.0ms
(/.f64 (sinh.f64 y) y)
12.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
95.9%2x
98.8%3y
99.7%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
96.3%3(sin.f64 x)
92.3%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes51.0ms (0.4%)

Memory
18.9MiB live, 58.1MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

2 calls:

36.0ms
y
12.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
98.8%3y
95.2%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes32.0ms (0.2%)

Memory
-14.3MiB live, 63.8MiB allocated
Counts
41 → 4
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Calls

2 calls:

16.0ms
y
13.0ms
x
Results
AccuracySegmentsBranch
93.3%2x
98.8%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes40.0ms (0.3%)

Memory
33.2MiB live, 110.6MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

3 calls:

13.0ms
(sin.f64 x)
12.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
12.0ms
y
Results
AccuracySegmentsBranch
88.5%1(sin.f64 x)
96.3%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
96.2%4y
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes16.0ms (0.1%)

Memory
-7.6MiB live, 34.0MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

1 calls:

14.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
96.1%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
3.5MiB live, 42.1MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

1 calls:

11.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
95.8%3(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes57.0ms (0.5%)

Memory
-16.4MiB live, 141.7MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

5 calls:

13.0ms
y
12.0ms
(sin.f64 x)
10.0ms
x
10.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
9.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
73.4%2(sin.f64 x)
64.0%3y
64.7%2x
59.7%1(/.f64 (sinh.f64 y) y)
73.4%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 25 to 17 computations (32% saved)

regimes21.0ms (0.2%)

Memory
19.0MiB live, 57.1MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Calls

2 calls:

11.0ms
(sin.f64 x)
9.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
73.3%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
73.3%2(sin.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes29.0ms (0.2%)

Memory
-41.5MiB live, 50.2MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Calls

2 calls:

10.0ms
(sin.f64 x)
8.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
71.5%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
72.6%2(sin.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes10.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Calls

1 calls:

8.0ms
(sin.f64 x)
Results
AccuracySegmentsBranch
72.3%2(sin.f64 x)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Memory
6.9MiB live, 44.2MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Calls

2 calls:

9.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
8.0ms
(sin.f64 x)
Results
AccuracySegmentsBranch
63.6%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
70.8%2(sin.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes12.0ms (0.1%)

Memory
-4.0MiB live, 31.5MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Calls

1 calls:

11.0ms
(sin.f64 x)
Results
AccuracySegmentsBranch
70.7%2(sin.f64 x)
Compiler

Compiled 4 to 3 computations (25% saved)

regimes45.0ms (0.4%)

Memory
8.7MiB live, 47.9MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Calls

3 calls:

31.0ms
x
6.0ms
(sin.f64 x)
6.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
63.4%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
54.9%2x
63.4%2(sin.f64 x)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes17.0ms (0.1%)

Memory
-8.4MiB live, 36.0MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
Calls

2 calls:

10.0ms
(sin.f64 x)
6.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Results
AccuracySegmentsBranch
53.8%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
63.4%2(sin.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes14.0ms (0.1%)

Memory
-2.7MiB live, 36.2MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* y (* y 1/120)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
Outputs
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
Calls

2 calls:

7.0ms
y
6.0ms
(sin.f64 x)
Results
AccuracySegmentsBranch
54.2%3y
61.9%2(sin.f64 x)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes24.0ms (0.2%)

Memory
-5.2MiB live, 73.1MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x)))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)))
Calls

5 calls:

5.0ms
y
5.0ms
x
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
38.1%2y
47.3%2(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
40.8%2x
35.7%1(/.f64 (sinh.f64 y) y)
47.3%2(sin.f64 x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes17.0ms (0.1%)

Memory
7.5MiB live, 48.4MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x)))
Outputs
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
Calls

5 calls:

5.0ms
y
3.0ms
(sin.f64 x)
3.0ms
x
3.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
35.4%1(/.f64 (sinh.f64 y) y)
35.4%1y
35.4%1x
35.4%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
35.4%1(sin.f64 x)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes12.0ms (0.1%)

Memory
-3.7MiB live, 35.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

3.0ms
x
2.0ms
(sin.f64 x)
2.0ms
y
2.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
13.3%1(sin.f64 x)
13.3%1x
13.3%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
13.3%1(/.f64 (sinh.f64 y) y)
13.3%1y
Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9958000963808196
+inf
0.0ms
-inf
-0.9997538835941792
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch143.0ms (1.1%)

Memory
-3.5MiB live, 71.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
127.0ms
4.487661809299846e+50
4.642828495513169e+58
14.0ms
0.02603279497434874
1.9630569459622815
Samples
19.0ms256×0valid
Compiler

Compiled 652 to 395 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 7.0ms (52.4% of total)
ival-sinh: 3.0ms (22.5% of total)
ival-div: 2.0ms (15% of total)
ival-mult: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch91.0ms (0.7%)

Memory
16.6MiB live, 61.6MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
77.0ms
1.8828884184545911e+77
4.346335285011722e+78
3.0ms
4.487661809299846e+50
4.642828495513169e+58
9.0ms
0.02603279497434874
1.9630569459622815
Samples
79.0ms208×0valid
Compiler

Compiled 1 096 to 611 computations (44.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sin: 5.0ms (55.1% of total)
ival-div: 1.0ms (11% of total)
ival-mult: 1.0ms (11% of total)
ival-sinh: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9958000963808196
+inf
0.0ms
-inf
-0.9997538835941792
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9958000963808196
+inf
0.0ms
-inf
-0.9997538835941792
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9958000963808196
+inf
0.0ms
-inf
-0.9997538835941792
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.0981339299445568
9.051090402544234e-309
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.055569193338549386
0.06619789056333253
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.1947771978836374e-17
2.6426482667927653e-15
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.877904615131661e-10
7.734817214876098e-8
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.877904615131661e-10
7.734817214876098e-8
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.055569193338549386
0.06619789056333253
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.055569193338549386
0.06619789056333253
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.055569193338549386
0.06619789056333253
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.06619789056333253
0.16628244314056803
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.02063549246597075
9.051090402544234e-309
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify17.0ms (0.1%)

Memory
5.3MiB live, 45.0MiB allocated
Algorithm
1×egg-herbie
Rules
62×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01521370
11861370
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 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 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y))))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9999999999999999932209486743616279764617084419440640 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 8106479329266893/18014398509481984 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 10499999999999999928819961080797093752847938640412672 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (if (<=.f64 y #s(literal 380000000000000011455098931408117341711416484134281558953778987194962140987392 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #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 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #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 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/18014398509481984 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) #s(approx (+ (* (/ (+ (* 1/14400 (* (* x x) (* x x))) -1/36) (+ (* (* x x) 1/120) 1/6)) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/18014398509481984 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/18014398509481984 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x 1/120)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/18014398509481984 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) #s(approx (+ (* (+ (* x (* x 1/120)) -1/6) (* x (* x x))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (sin.f64 x) #s(literal 3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x))))
(if (<=.f64 (sin.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x))))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
Outputs
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 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 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 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 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9999999999999999932209486743616279764617084419440640 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9999999999999999932209486743616279764617084419440640 binary64)) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
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#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))

soundness2.1s (16.3%)

Memory
-3.1MiB live, 1 679.2MiB allocated
Rules
19 592×lower-fma.f64
19 592×lower-fma.f32
15 526×lower-fma.f64
15 526×lower-fma.f32
14 788×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061467
0101398
1382389
22737389
09359377
01593480
14893445
213863233
343333191
474733191
081593033
092700
1288693
2897643
33139635
47365635
08523605
02394336
17084191
221923963
347653933
479003933
081713765
01624030
14683929
214253739
344723699
080933495
042305
075287
1280273
21953273
08220273
0615
01015
12615
212115
387015
0838415
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 2 819 to 1 180 computations (58.1% saved)

preprocess124.0ms (1%)

Memory
-10.2MiB live, 299.5MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 2 158 to 276 computations (87.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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