Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 8.7s)

analyze21.0ms (0.2%)

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 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (40.6% of total)
ival-cos: 2.0ms (27% of total)
ival-div: 1.0ms (13.5% of total)
ival-sinh: 1.0ms (13.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample985.0ms (11.3%)

Results
795.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 546.0ms
ival-cos: 236.0ms (43.3% of total)
ival-div: 153.0ms (28% of total)
ival-mult: 96.0ms (17.6% of total)
ival-sinh: 50.0ms (9.2% of total)
const: 8.0ms (1.5% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess269.0ms (3.1%)

Algorithm
2×egg-herbie
Rules
2106×sum3-define
2024×fma-lowering-fma.f32
2024×fma-lowering-fma.f64
1708×fmsub-define
1530×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01944
16144
216444
354144
4189144
5504744
067
1157
2327
3717
41547
53257
68537
722637
849417
081747
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* (cos x) (/ (sinh y) y))
Outputs
(* (cos x) (/ (sinh y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Call 2
Inputs
(* (cos x) (/ (sinh y) y))
(* (cos (neg x)) (/ (sinh y) y))
(* (cos x) (/ (sinh (neg y)) (neg y)))
(neg (* (cos (neg x)) (/ (sinh y) y)))
(neg (* (cos x) (/ (sinh (neg y)) (neg y))))
(* (cos y) (/ (sinh x) x))
Outputs
(* (cos x) (/ (sinh y) y))
(* (cos (neg x)) (/ (sinh y) y))
(* (cos x) (/ (sinh y) y))
(* (cos x) (/ (sinh (neg y)) (neg y)))
(* (cos x) (/ (sinh y) y))
(neg (* (cos (neg x)) (/ (sinh y) y)))
(fnmsub (cos x) (/ (sinh y) y) 0)
(neg (* (cos x) (/ (sinh (neg y)) (neg y))))
(fnmsub (cos x) (/ (sinh y) y) 0)
(* (cos y) (/ (sinh x) x))
Symmetry

(abs x)

(abs y)

explain83.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
00-0-(cos.f64 x)
00-0-(/.f64 (sinh.f64 y) y)
00-0-y
00-0-(sinh.f64 y)
Results
63.0ms512×0valid
Compiler

Compiled 49 to 20 computations (59.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-cos: 12.0ms (51.6% of total)
ival-div: 4.0ms (17.2% of total)
ival-mult: 4.0ms (17.2% of total)
ival-sinh: 3.0ms (12.9% of total)
const: 1.0ms (4.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify188.0ms (2.2%)

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
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Rules
2106×sum3-define
2024×fma-lowering-fma.f32
2024×fma-lowering-fma.f64
1708×fmsub-define
1530×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
11517
23217
37117
415417
532517
685317
7226317
8494117
0817417
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (cos x) (/ (sinh y) y))
(cos x)
x
(/ (sinh y) y)
(sinh y)
y
Outputs
(* (cos x) (/ (sinh y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos x)
(cos.f64 x)
x
(/ (sinh y) y)
(/.f64 (sinh.f64 y) y)
(sinh y)
(sinh.f64 y)
y

localize46.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
Results
39.0ms256×0valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 6.0ms (51.7% of total)
ival-div: 2.0ms (17.2% of total)
ival-mult: 2.0ms (17.2% of total)
ival-sinh: 1.0ms (8.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
4 → 60
Calls
Call 1
Inputs
#<alt (* (cos x) (/ (sinh y) y))>
#<alt (cos x)>
#<alt (/ (sinh y) y)>
#<alt (sinh y)>
Outputs
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))>
#<alt (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))>
#<alt (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos 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
(* (cos x) (/ (sinh y) y))
2.0ms
y
@inf
(* (cos x) (/ (sinh y) y))
1.0ms
x
@inf
(* (cos x) (/ (sinh y) y))
1.0ms
y
@0
(* (cos x) (/ (sinh y) y))
1.0ms
x
@0
(* (cos x) (/ (sinh y) y))

rewrite440.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
4986×*-lowering-*.f32
4986×*-lowering-*.f64
4448×/-lowering-/.f32
4448×/-lowering-/.f64
956×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
12215
211915
388615
0842415
Stop Event
1×iter limit
1×node limit
Counts
4 → 541
Calls
Call 1
Inputs
(* (cos x) (/ (sinh y) y))
(cos x)
(/ (sinh y) y)
(sinh y)
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 x) y) (/.f64 (exp.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 y)))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y) #s(literal 0 binary64)) (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 y) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (exp.f64 y))))
(+.f64 (*.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 x) y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 y))) (/.f64 (cos.f64 x) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y)) (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) y) (sinh.f64 y))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) y) (sinh.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 y (sinh.f64 y))))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 (cos.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 (cos.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (cos.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (/.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (/.f64 (cos.f64 x) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) y) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) y) (sinh.f64 y))) #s(literal -1 binary64))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 (*.f64 y #s(literal 2 binary64))) (exp.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 y (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y)) #s(literal -2 binary64))
(/.f64 (/.f64 (cos.f64 x) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y) (/.f64 #s(literal -1 binary64) (sinh.f64 y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 y (sinh.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (cos.f64 x) (/.f64 (/.f64 y #s(literal -2 binary64)) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 2 binary64))) (exp.f64 (*.f64 y #s(literal -2 binary64)))) (cos.f64 x)) (*.f64 y (*.f64 #s(literal 4 binary64) (cosh.f64 y))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y))) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) y))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) y))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 x) y))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 y #s(literal 2 binary64))) (exp.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 (*.f64 y #s(literal 2 binary64))) (exp.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 y)))) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (/.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 8 binary64)))) (+.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 (exp.f64 y) #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 (cos.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 (cos.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 #s(literal -2 binary64))) (exp.f64 (*.f64 y #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 (cos.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 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 y #s(literal -2 binary64))) (exp.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) y) (-.f64 (exp.f64 (*.f64 y #s(literal 2 binary64))) (exp.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 #s(literal -4 binary64) (cosh.f64 y)))
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simplify271.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
5410×*-lowering-*.f32
5410×*-lowering-*.f64
2274×+-lowering-+.f64
2274×+-lowering-+.f32
1232×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084675
1255619
2899585
33110576
46396576
08353576
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos 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 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(/.f64 (*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) y)
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(*.f64 (/.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) y) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(+.f64 (*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 x x) y)) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/1440 binary64))) (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))

eval89.0ms (1%)

Compiler

Compiled 11189 to 1792 computations (84% saved)

prune92.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5974601
Fresh000
Picked101
Done000
Total5984602
Accuracy
100.0%
Counts
602 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
▶79.6%
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
▶61.9%
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
▶58.7%
(cos.f64 x)
Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify195.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
✓cost-diff0
(sinh.f64 y)
✓cost-diff0
(/.f64 (sinh.f64 y) y)
✓cost-diff128
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
✓cost-diff0
(cos.f64 x)
Rules
3514×*-lowering-*.f32
3514×*-lowering-*.f64
1694×fma-lowering-fma.f32
1694×fma-lowering-fma.f64
1404×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01779
14872
211072
327572
468272
5248572
6726272
0838572
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(cos x)
x
(* 1 (/ (sinh y) y))
1
(/ (sinh y) y)
(sinh y)
y
(* (cos x) (+ 1 (* 1/6 (* y y))))
(cos x)
x
(+ 1 (* 1/6 (* y y)))
1
(* 1/6 (* y y))
1/6
(* y y)
y
(* (+ 1 (* x (* x -1/2))) (/ (sinh y) y))
(+ 1 (* x (* x -1/2)))
1
(* x (* x -1/2))
x
(* x -1/2)
-1/2
(/ (sinh y) y)
(sinh y)
y
Outputs
(cos x)
(cos.f64 x)
x
(* 1 (/ (sinh y) y))
(/.f64 (sinh.f64 y) y)
1
#s(literal 1 binary64)
(/ (sinh y) y)
(/.f64 (sinh.f64 y) y)
(sinh y)
(sinh.f64 y)
y
(* (cos x) (+ 1 (* 1/6 (* y y))))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(cos x)
(cos.f64 x)
x
(+ 1 (* 1/6 (* y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
1
#s(literal 1 binary64)
(* 1/6 (* y y))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* y y)
(*.f64 y y)
y
(* (+ 1 (* x (* x -1/2))) (/ (sinh y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(+ 1 (* x (* x -1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* x (* x -1/2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
x
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (sinh y) y)
(/.f64 (sinh.f64 y) y)
(sinh y)
(sinh.f64 y)
y

localize89.0ms (1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.9%
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
✓accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
✓accuracy100.0%
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
✓accuracy100.0%
(cos.f64 x)
Results
57.0ms256×0valid
Compiler

Compiled 88 to 18 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 12.0ms (36.9% of total)
ival-cos: 9.0ms (27.7% of total)
...c/correct-round.rkt:119:19: 4.0ms (12.3% of total)
ival-add: 3.0ms (9.2% of total)
ival-div: 2.0ms (6.1% of total)
ival-sinh: 2.0ms (6.1% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
12 → 168
Calls
Call 1
Inputs
#<alt (cos x)>
#<alt (* 1 (/ (sinh y) y))>
#<alt (/ (sinh y) y)>
#<alt (sinh y)>
#<alt (* (cos x) (+ 1 (* 1/6 (* y y))))>
#<alt (+ 1 (* 1/6 (* y y)))>
#<alt (* 1/6 (* y y))>
#<alt (* (+ 1 (* x (* x -1/2))) (/ (sinh y) y))>
#<alt (+ 1 (* x (* x -1/2)))>
#<alt (* x (* x -1/2))>
#<alt (* x -1/2)>
#<alt (* y y)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos 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 (* (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))))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))>
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))>
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (* (cos x) (+ 1 (* 1/6 (pow y 2))))>
#<alt (cos x)>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))>
#<alt (* 1/6 (* (pow y 2) (cos x)))>
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))>
#<alt (* 1/6 (* (pow y 2) (cos x)))>
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))>
#<alt (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/120 (+ 1 (* -1/2 (pow x 2))))))))))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

42 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(* (+ 1 (* x (* x -1/2))) (/ (sinh y) y))
2.0ms
x
@0
(* x (* x -1/2))
1.0ms
y
@inf
(* (+ 1 (* x (* x -1/2))) (/ (sinh y) y))
1.0ms
x
@inf
(* (+ 1 (* x (* x -1/2))) (/ (sinh y) y))
1.0ms
y
@inf
(* (cos x) (+ 1 (* 1/6 (* y y))))

rewrite294.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
3968×*-lowering-*.f32
3968×*-lowering-*.f64
2658×/-lowering-/.f32
2658×/-lowering-/.f64
1796×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01760
17853
263653
3713453
0813453
Stop Event
1×iter limit
1×node limit
Counts
12 → 540
Calls
Call 1
Inputs
(cos x)
(* 1 (/ (sinh y) y))
(/ (sinh y) y)
(sinh y)
(* (cos x) (+ 1 (* 1/6 (* y y))))
(+ 1 (* 1/6 (* y y)))
(* 1/6 (* y y))
(* (+ 1 (* x (* x -1/2))) (/ (sinh y) y))
(+ 1 (* x (* x -1/2)))
(* x (* x -1/2))
(* x -1/2)
(* y y)
Outputs
(cos.f64 x)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal -2 binary64)) y))
(-.f64 (/.f64 (exp.f64 y) (*.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (*.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (sinh.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)))) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 y y)))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 2 binary64)) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) (*.f64 y #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (sinh.f64 y)))
(*.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (/.f64 y #s(literal 2 binary64)) (sinh.f64 y)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal -2 binary64)) y))
(-.f64 (/.f64 (exp.f64 y) (*.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (*.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (sinh.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))
(*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

simplify224.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
2988×*-lowering-*.f32
2988×*-lowering-*.f64
2198×+-lowering-+.f64
2198×+-lowering-+.f32
1826×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01121542
13871283
215461193
362061178
478701178
081431178
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos 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 (* (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))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(* (cos x) (+ 1 (* 1/6 (pow y 2))))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(* 1/6 (* (pow y 2) (cos x)))
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))
(* 1/6 (* (pow y 2) (cos x)))
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/120 (+ 1 (* -1/2 (pow x 2))))))))))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
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(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval94.0ms (1.1%)

Compiler

Compiled 17521 to 1561 computations (91.1% saved)

prune126.0ms (1.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New82112833
Fresh000
Picked224
Done000
Total82314837
Accuracy
100.0%
Counts
837 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.9%
(/.f64 (sinh.f64 y) y)
56.4%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))
▶43.9%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
▶53.5%
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
41.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
▶47.1%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
40.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
59.2%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
55.6%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
52.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
✓79.6%
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
57.5%
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) y))
✓58.7%
(cos.f64 x)
▶34.4%
#s(literal 1 binary64)
Compiler

Compiled 406 to 282 computations (30.5% saved)

simplify152.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
✓cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
✓cost-diff0
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
✓cost-diff0
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
✓cost-diff0
(sinh.f64 y)
✓cost-diff0
(/.f64 (sinh.f64 y) y)
Rules
2398×fma-define
1754×fma-lowering-fma.f32
1754×fma-lowering-fma.f64
1612×fnmadd-define
1474×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026142
177126
2221126
3559126
41159126
51708126
62018126
72522126
84165126
96637126
08007126
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sinh y) y)
(sinh y)
y
1
(+ 1 (* 1/6 (* y y)))
1
(* 1/6 (* y y))
1/6
(* y y)
y
(+ 1 (* y (* y (+ 1/6 (* (* y y) 1/120)))))
1
(* y (* y (+ 1/6 (* (* y y) 1/120))))
y
(* y (+ 1/6 (* (* y y) 1/120)))
(+ 1/6 (* (* y y) 1/120))
1/6
(* (* y y) 1/120)
(* y y)
1/120
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))
1
(* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))
(* x x)
x
(+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))
-1/2
(* x (* x (+ 1/24 (* (* x x) -1/720))))
(* x (+ 1/24 (* (* x x) -1/720)))
(+ 1/24 (* (* x x) -1/720))
1/24
(* (* x x) -1/720)
-1/720
Outputs
(/ (sinh y) y)
(/.f64 (sinh.f64 y) y)
(sinh y)
(sinh.f64 y)
y
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (* y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
1
#s(literal 1 binary64)
(* 1/6 (* y y))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* y y)
(*.f64 y y)
y
(+ 1 (* y (* y (+ 1/6 (* (* y y) 1/120)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
1
#s(literal 1 binary64)
(* y (* y (+ 1/6 (* (* y y) 1/120))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
y
(* y (+ 1/6 (* (* y y) 1/120)))
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(+ 1/6 (* (* y y) 1/120))
(+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))
1/6
#s(literal 1/6 binary64)
(* (* y y) 1/120)
(*.f64 y (*.f64 y #s(literal 1/120 binary64)))
(* y y)
(*.f64 y y)
1/120
#s(literal 1/120 binary64)
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
-1/2
#s(literal -1/2 binary64)
(* x (* x (+ 1/24 (* (* x x) -1/720))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(* x (+ 1/24 (* (* x x) -1/720)))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(+ 1/24 (* (* x x) -1/720))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
1/24
#s(literal 1/24 binary64)
(* (* x x) -1/720)
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)

localize118.0ms (1.4%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
✓accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
✓accuracy99.8%
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
✓accuracy99.7%
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
✓accuracy100.0%
(*.f64 y y)
✓accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
Results
82.0ms256×0valid
Compiler

Compiled 170 to 27 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 17.0ms (37.8% of total)
...c/correct-round.rkt:119:19: 15.0ms (33.3% of total)
ival-add: 7.0ms (15.5% of total)
ival-sinh: 3.0ms (6.7% of total)
ival-div: 2.0ms (4.4% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.3%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (/ (sinh y) y)>
#<alt (sinh y)>
#<alt (+ 1 (* 1/6 (* y y)))>
#<alt (* 1/6 (* y y))>
#<alt (* y y)>
#<alt (+ 1 (* y (* y (+ 1/6 (* (* y y) 1/120)))))>
#<alt (* y (* y (+ 1/6 (* (* y y) 1/120))))>
#<alt (* y (+ 1/6 (* (* y y) 1/120)))>
#<alt (+ 1/6 (* (* y y) 1/120))>
#<alt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))>
#<alt (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))>
#<alt (* x x)>
#<alt (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))>
#<alt (* (* y y) 1/120)>
#<alt (* x (+ 1/24 (* (* x x) -1/720)))>
#<alt (* (* x x) -1/720)>
#<alt (* x (* x (+ 1/24 (* (* x x) -1/720))))>
Outputs
#<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))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<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 (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* (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)))))>
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (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)))))>
#<alt (* (pow y 4) (+ 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 (* 1/120 (pow y 2))))>
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* 1/120 (pow y 3))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 3))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<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>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/2>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
Calls

51 calls:

TimeVariablePointExpression
10.0ms
y
@0
(* (* y y) 1/120)
5.0ms
y
@inf
(* (* y y) 1/120)
0.0ms
y
@inf
(+ 1 (* y (* y (+ 1/6 (* (* y y) 1/120)))))
0.0ms
x
@inf
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))
0.0ms
x
@inf
(* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))

rewrite344.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
4020×*-lowering-*.f32
4020×*-lowering-*.f64
2894×/-lowering-/.f32
2894×/-lowering-/.f64
2100×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026120
1160105
21402105
08256105
Stop Event
1×iter limit
1×node limit
Counts
17 → 453
Calls
Call 1
Inputs
(/ (sinh y) y)
(sinh y)
(+ 1 (* 1/6 (* y y)))
(* 1/6 (* y y))
(* y y)
(+ 1 (* y (* y (+ 1/6 (* (* y y) 1/120)))))
(* y (* y (+ 1/6 (* (* y y) 1/120))))
(* y (+ 1/6 (* (* y y) 1/120)))
(+ 1/6 (* (* y y) 1/120))
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))))
(* (* x x) (+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720))))))
(* x x)
(+ -1/2 (* x (* x (+ 1/24 (* (* x x) -1/720)))))
(* (* y y) 1/120)
(* x (+ 1/24 (* (* x x) -1/720)))
(* (* x x) -1/720)
(* x (* x (+ 1/24 (* (* x x) -1/720))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 2 binary64)) y))
(-.f64 (/.f64 (exp.f64 y) (*.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (*.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (sinh.f64 y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) y))
(/.f64 (sinh.f64 y) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (/.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (sinh.f64 y)))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sinh.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (sinh.f64 y)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y))) #s(literal -2 binary64))
(pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 2 binary64)))
(sinh.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 y) #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.f64 (*.f64 y (*.f64 y #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(literal 1/6 binary64))))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.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))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/6 binary64))) y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
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(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
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(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x)))
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(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) x)

simplify196.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2772×*-lowering-*.f32
2772×*-lowering-*.f64
1532×sum3-define
1390×times-frac
1214×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0951602
12791348
27771309
323541305
466061305
080921305
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
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))))
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(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
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(* 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
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1
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(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
(* 1/2 (- (exp y) (/ 1 (exp y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+ 1 (* 1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+ 1 (* 1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* 1/120 (pow y 4))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* 1/120 (pow y 4))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* 1/120 (pow y 4))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* 1/120 (pow y 4))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* 1/120 (pow y 3))
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* 1/120 (pow y 3))
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow y 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(+ 1/6 (* 1/120 (pow y 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(+ 1/6 (* 1/120 (pow y 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(* -1/720 (pow x 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1/720 (pow x 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
(* -1/720 (pow x 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1/720 (pow x 6))
(*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(* -1/720 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1/720 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* -1/720 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* -1/720 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* 1/24 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* -1/720 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1/720 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))

eval87.0ms (1%)

Compiler

Compiled 20484 to 1824 computations (91.1% saved)

prune78.0ms (0.9%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New67815693
Fresh347
Picked325
Done022
Total68423707
Accuracy
100.0%
Counts
707 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.3%
(/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))
34.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))))
34.7%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
55.6%
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y)
57.5%
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y)
✓61.9%
(/.f64 (sinh.f64 y) y)
53.5%
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
47.1%
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
56.4%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))
25.7%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))
41.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
▶43.9%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
40.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
56.4%
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
▶59.2%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
▶55.6%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
52.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
✓79.6%
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
▶22.1%
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
22.0%
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
▶15.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
✓58.7%
(cos.f64 x)
✓34.4%
#s(literal 1 binary64)
Compiler

Compiled 979 to 495 computations (49.4% saved)

simplify205.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
✓cost-diff0
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
✓cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
✓cost-diff0
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
✓cost-diff0
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
Rules
2818×+-lowering-+.f64
2818×+-lowering-+.f32
2560×*-lowering-*.f32
2560×*-lowering-*.f64
2432×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032263
1103230
2361226
31535224
46922224
57144224
67420224
77454224
87454224
97454224
08216224
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ 1 (* x (* x -1/2))) (+ 1 (* (* y y) (+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040))))))))
(+ 1 (* x (* x -1/2)))
1
(* x (* x -1/2))
x
(* x -1/2)
-1/2
(+ 1 (* (* y y) (+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040)))))))
(* (* y y) (+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040))))))
(* y y)
y
(+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040)))))
1/6
(* (* y y) (+ 1/120 (* y (* y 1/5040))))
(+ 1/120 (* y (* y 1/5040)))
1/120
(* y (* y 1/5040))
(* y 1/5040)
1/5040
(* 1/6 (* y y))
1/6
(* y y)
y
(* y (* y (+ 1/6 (* (* y y) 1/120))))
y
(* y (+ 1/6 (* (* y y) 1/120)))
(+ 1/6 (* (* y y) 1/120))
1/6
(* (* y y) 1/120)
(* y y)
1/120
(+ 1 (* (* x x) (* (* x x) (* (* x x) -1/720))))
1
(* (* x x) (* (* x x) (* (* x x) -1/720)))
(* x x)
x
(* (* x x) (* (* x x) -1/720))
(* (* x x) -1/720)
-1/720
(* (+ 1 (* x (* x -1/2))) (+ 1 (* y (* y (+ 1/6 (* (* y y) 1/120))))))
(+ 1 (* x (* x -1/2)))
1
(* x (* x -1/2))
x
(* x -1/2)
-1/2
(+ 1 (* y (* y (+ 1/6 (* (* y y) 1/120)))))
(* y (* y (+ 1/6 (* (* y y) 1/120))))
y
(* y (+ 1/6 (* (* y y) 1/120)))
(+ 1/6 (* (* y y) 1/120))
1/6
(* (* y y) 1/120)
(* y y)
1/120
Outputs
(* (+ 1 (* x (* x -1/2))) (+ 1 (* (* y y) (+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(+ 1 (* x (* x -1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* x (* x -1/2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
x
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ 1 (* (* y y) (+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))
(* (* y y) (+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040))))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))
(* y y)
(*.f64 y y)
y
(+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))
1/6
#s(literal 1/6 binary64)
(* (* y y) (+ 1/120 (* y (* y 1/5040))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
(+ 1/120 (* y (* y 1/5040)))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))
1/120
#s(literal 1/120 binary64)
(* y (* y 1/5040))
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
(* y 1/5040)
(*.f64 y #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)
(* 1/6 (* y y))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* y y)
(*.f64 y y)
y
(* y (* y (+ 1/6 (* (* y y) 1/120))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
y
(* y (+ 1/6 (* (* y y) 1/120)))
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(+ 1/6 (* (* y y) 1/120))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* y y) 1/120)
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* y y)
(*.f64 y y)
1/120
#s(literal 1/120 binary64)
(+ 1 (* (* x x) (* (* x x) (* (* x x) -1/720))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (*.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(* (* x x) (* (* x x) (* (* x x) -1/720)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (*.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
x
(* (* x x) (* (* x x) -1/720))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* (* x x) -1/720)
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)
(* (+ 1 (* x (* x -1/2))) (+ 1 (* y (* y (+ 1/6 (* (* y y) 1/120))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+ 1 (* x (* x -1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* x (* x -1/2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
x
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ 1 (* y (* y (+ 1/6 (* (* y y) 1/120)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* y (* y (+ 1/6 (* (* y y) 1/120))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
y
(* y (+ 1/6 (* (* y y) 1/120)))
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(+ 1/6 (* (* y y) 1/120))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* y y) 1/120)
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* y y)
(*.f64 y y)
1/120
#s(literal 1/120 binary64)

localize172.0ms (2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
✓accuracy99.8%
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
✓accuracy99.7%
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
✓accuracy99.8%
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
✓accuracy99.7%
(*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
✓accuracy100.0%
(*.f64 y y)
✓accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
✓accuracy100.0%
(*.f64 y #s(literal 1/5040 binary64))
✓accuracy99.8%
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))
✓accuracy99.8%
(*.f64 y (*.f64 y #s(literal 1/5040 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))
Results
105.0ms256×0valid
Compiler

Compiled 316 to 33 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 31.0ms (53.3% of total)
ival-add: 13.0ms (22.4% of total)
...c/correct-round.rkt:119:19: 13.0ms (22.4% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
20 → 264
Calls
Call 1
Inputs
#<alt (* (+ 1 (* x (* x -1/2))) (+ 1 (* (* y y) (+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040))))))))>
#<alt (+ 1 (* x (* x -1/2)))>
#<alt (* x (* x -1/2))>
#<alt (* x -1/2)>
#<alt (* 1/6 (* y y))>
#<alt (* y y)>
#<alt (* y (* y (+ 1/6 (* (* y y) 1/120))))>
#<alt (* y (+ 1/6 (* (* y y) 1/120)))>
#<alt (+ 1/6 (* (* y y) 1/120))>
#<alt (* (* y y) 1/120)>
#<alt (+ 1 (* (* x x) (* (* x x) (* (* x x) -1/720))))>
#<alt (* (* x x) (* (* x x) (* (* x x) -1/720)))>
#<alt (* x x)>
#<alt (* (* x x) (* (* x x) -1/720))>
#<alt (* (+ 1 (* x (* x -1/2))) (+ 1 (* y (* y (+ 1/6 (* (* y y) 1/120))))))>
#<alt (* (* y y) (+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040))))))>
#<alt (* y (* y 1/5040))>
#<alt (* (* y y) (+ 1/120 (* y (* y 1/5040))))>
#<alt (* y 1/5040)>
#<alt (* (* x x) -1/720)>
Outputs
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))>
#<alt (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))>
#<alt (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/120 (+ 1 (* -1/2 (pow x 2))))))))))>
#<alt (* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))>
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6)))))))>
#<alt (* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))>
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* (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)))))>
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (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)))))>
#<alt (* (pow y 4) (+ 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 (* 1/120 (pow y 2))))>
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* 1/120 (pow y 3))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 3))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<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 (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt 1>
#<alt (+ 1 (* -1/720 (pow x 6)))>
#<alt (+ 1 (* -1/720 (pow x 6)))>
#<alt (+ 1 (* -1/720 (pow x 6)))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 1/720))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 1/720))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 1/720))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 1/720))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 1/720))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 1/720))>
#<alt (* -1/720 (pow x 6))>
#<alt (* -1/720 (pow x 6))>
#<alt (* -1/720 (pow x 6))>
#<alt (* -1/720 (pow x 6))>
#<alt (* -1/720 (pow x 6))>
#<alt (* -1/720 (pow x 6))>
#<alt (* -1/720 (pow x 6))>
#<alt (* -1/720 (pow x 6))>
#<alt (* -1/720 (pow x 6))>
#<alt (* -1/720 (pow x 6))>
#<alt (* -1/720 (pow x 6))>
#<alt (* -1/720 (pow x 6))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/720 (pow x 4))>
#<alt (* -1/720 (pow x 4))>
#<alt (* -1/720 (pow x 4))>
#<alt (* -1/720 (pow x 4))>
#<alt (* -1/720 (pow x 4))>
#<alt (* -1/720 (pow x 4))>
#<alt (* -1/720 (pow x 4))>
#<alt (* -1/720 (pow x 4))>
#<alt (* -1/720 (pow x 4))>
#<alt (* -1/720 (pow x 4))>
#<alt (* -1/720 (pow x 4))>
#<alt (* -1/720 (pow x 4))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))>
#<alt (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))>
#<alt (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))>
#<alt (* 1/120 (* (pow y 4) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (* (pow y 4) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))>
#<alt (* 1/120 (* (pow y 4) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (* (pow y 4) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))>
#<alt (* (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))))))>
#<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))))))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* 1/5040 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))>
#<alt (* (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 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/5040 (* 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 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* 1/5040 y)>
#<alt (* 1/5040 y)>
#<alt (* 1/5040 y)>
#<alt (* 1/5040 y)>
#<alt (* 1/5040 y)>
#<alt (* 1/5040 y)>
#<alt (* 1/5040 y)>
#<alt (* 1/5040 y)>
#<alt (* 1/5040 y)>
#<alt (* 1/5040 y)>
#<alt (* 1/5040 y)>
#<alt (* 1/5040 y)>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
Calls

66 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (+ 1 (* x (* x -1/2))) (+ 1 (* (* y y) (+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040))))))))
1.0ms
x
@0
(* (+ 1 (* x (* x -1/2))) (+ 1 (* y (* y (+ 1/6 (* (* y y) 1/120))))))
1.0ms
x
@inf
(+ 1 (* (* x x) (* (* x x) (* (* x x) -1/720))))
1.0ms
y
@inf
(* (+ 1 (* x (* x -1/2))) (+ 1 (* (* y y) (+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040))))))))
1.0ms
x
@0
(+ 1 (* (* x x) (* (* x x) (* (* x x) -1/720))))

rewrite455.0ms (5.2%)

Algorithm
1×batch-egg-rewrite
Rules
3556×*-lowering-*.f32
3556×*-lowering-*.f64
2882×+-lowering-+.f64
2882×+-lowering-+.f32
2818×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032152
1187131
21788125
09468125
Stop Event
1×iter limit
1×node limit
Counts
20 → 639
Calls
Call 1
Inputs
(* (+ 1 (* x (* x -1/2))) (+ 1 (* (* y y) (+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040))))))))
(+ 1 (* x (* x -1/2)))
(* x (* x -1/2))
(* x -1/2)
(* 1/6 (* y y))
(* y y)
(* y (* y (+ 1/6 (* (* y y) 1/120))))
(* y (+ 1/6 (* (* y y) 1/120)))
(+ 1/6 (* (* y y) 1/120))
(* (* y y) 1/120)
(+ 1 (* (* x x) (* (* x x) (* (* x x) -1/720))))
(* (* x x) (* (* x x) (* (* x x) -1/720)))
(* x x)
(* (* x x) (* (* x x) -1/720))
(* (+ 1 (* x (* x -1/2))) (+ 1 (* y (* y (+ 1/6 (* (* y y) 1/120))))))
(* (* y y) (+ 1/6 (* (* y y) (+ 1/120 (* y (* y 1/5040))))))
(* y (* y 1/5040))
(* (* y y) (+ 1/120 (* y (* y 1/5040))))
(* y 1/5040)
(* (* x x) -1/720)
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y y)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
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(*.f64 (*.f64 x #s(literal -1/720 binary64)) x)

simplify218.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
3142×+-lowering-+.f64
3142×+-lowering-+.f32
2982×*-lowering-*.f32
2982×*-lowering-*.f64
1726×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01342782
14702066
219082000
370731822
084771822
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/120 (+ 1 (* -1/2 (pow x 2))))))))))
(* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2)))))
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))))))
(* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6)))))))
(* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2)))))
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))))))
(* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(* 1/6 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))
(* (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)))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 4))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/6 y)
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* y (+ 1/6 (* 1/120 (pow y 2))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 3))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 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)))))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
1
(+ 1 (* -1/720 (pow x 6)))
(+ 1 (* -1/720 (pow x 6)))
(+ 1 (* -1/720 (pow x 6)))
(* -1/720 (pow x 6))
(* (pow x 6) (- (/ 1 (pow x 6)) 1/720))
(* (pow x 6) (- (/ 1 (pow x 6)) 1/720))
(* (pow x 6) (- (/ 1 (pow x 6)) 1/720))
(* -1/720 (pow x 6))
(* (pow x 6) (- (/ 1 (pow x 6)) 1/720))
(* (pow x 6) (- (/ 1 (pow x 6)) 1/720))
(* (pow x 6) (- (/ 1 (pow x 6)) 1/720))
(* -1/720 (pow x 6))
(* -1/720 (pow x 6))
(* -1/720 (pow x 6))
(* -1/720 (pow x 6))
(* -1/720 (pow x 6))
(* -1/720 (pow x 6))
(* -1/720 (pow x 6))
(* -1/720 (pow x 6))
(* -1/720 (pow x 6))
(* -1/720 (pow x 6))
(* -1/720 (pow x 6))
(* -1/720 (pow x 6))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(* -1/720 (pow x 4))
(* -1/720 (pow x 4))
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(* -1/720 (pow x 4))
(* -1/720 (pow x 4))
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(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))
(* 1/120 (* (pow y 4) (+ 1 (* -1/2 (pow x 2)))))
(* (pow y 4) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))
(* 1/120 (* (pow y 4) (+ 1 (* -1/2 (pow x 2)))))
(* (pow y 4) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))
(* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
(* (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))))))
(* 1/5040 (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))))))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/5040 (pow y 2))
(* 1/120 (pow y 2))
(* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))
(* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))
(* (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 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 4))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 y)
(* 1/5040 y)
(* 1/5040 y)
(* 1/5040 y)
(* 1/5040 y)
(* 1/5040 y)
(* 1/5040 y)
(* 1/5040 y)
(* 1/5040 y)
(* 1/5040 y)
(* 1/5040 y)
(* 1/5040 y)
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
Outputs
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) (+.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 y y) x) x)))) (*.f64 x x)))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) (+.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 y y) x) x)))) (*.f64 x x)))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) (+.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 y y) x) x)))) (*.f64 x x)))
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) (+.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 y y) x) x)))) (*.f64 x x)))
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(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
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(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
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(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
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(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
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(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))
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(* 1/120 (* (pow y 4) (+ 1 (* -1/2 (pow x 2)))))
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(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))
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(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))
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(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))
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(* 1/6 (pow y 2))
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(* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
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(* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))
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(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
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(* 1/5040 y)
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(* 1/5040 y)
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(* 1/5040 y)
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(* 1/5040 y)
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(* 1/5040 y)
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(* 1/5040 y)
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(* 1/5040 y)
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(* 1/5040 y)
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(* 1/5040 y)
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(* 1/5040 y)
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(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))
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(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))
(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))

eval168.0ms (1.9%)

Compiler

Compiled 51770 to 2459 computations (95.3% saved)

prune192.0ms (2.2%)

Pruning

33 alts after pruning (26 fresh and 7 done)

PrunedKeptTotal
New1232161248
Fresh41014
Picked235
Done044
Total1238331271
Accuracy
100.0%
Counts
1271 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.3%
(/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))
45.2%
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
45.7%
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
49.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
45.6%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
55.6%
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y)
57.5%
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y)
✓61.9%
(/.f64 (sinh.f64 y) y)
53.5%
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
47.1%
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
36.4%
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) (+.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 y y) x) x)))) (*.f64 x x)))
56.4%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))
25.7%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))
41.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
✓43.9%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
40.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
56.4%
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))
44.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
15.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
33.7%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)))))))
42.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) (*.f64 y y)) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
25.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
22.1%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
25.5%
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
48.5%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
15.8%
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
✓79.6%
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
✓22.1%
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
22.0%
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
22.0%
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
✓15.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
✓58.7%
(cos.f64 x)
✓34.4%
#s(literal 1 binary64)
Compiler

Compiled 2019 to 653 computations (67.7% saved)

regimes92.0ms (1.1%)

Counts
48 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) y))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) (+.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 y y) x) x)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) (*.f64 y y)) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

32.0ms
x
15.0ms
(cos.f64 x)
13.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
13.0ms
y
11.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
100.0%1(cos.f64 x)
100.0%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes121.0ms (1.4%)

Counts
47 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) y))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) (+.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 y y) x) x)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) (*.f64 y y)) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(/.f64 (sinh.f64 y) y)
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
Calls

4 calls:

57.0ms
y
29.0ms
(/.f64 (sinh.f64 y) y)
13.0ms
x
13.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
87.1%2x
94.2%3y
88.4%2(cos.f64 x)
88.3%2(/.f64 (sinh.f64 y) y)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes34.0ms (0.4%)

Counts
45 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) y))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) (+.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 y y) x) x)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) (*.f64 y y)) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
Outputs
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
Calls

1 calls:

13.0ms
y
Results
AccuracySegmentsBranch
91.3%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes52.0ms (0.6%)

Counts
43 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) y))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) (+.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 y y) x) x)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) (*.f64 y y)) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(cos.f64 x)
Outputs
(cos.f64 x)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
Calls

3 calls:

19.0ms
(cos.f64 x)
12.0ms
x
12.0ms
y
Results
AccuracySegmentsBranch
72.7%2x
78.2%3(cos.f64 x)
89.1%4y
Compiler

Compiled 10 to 7 computations (30% saved)

regimes32.0ms (0.4%)

Counts
42 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) y))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) (+.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 y y) x) x)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) (*.f64 y y)) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))))
(/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))) (*.f64 y y)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
Outputs
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
Calls

2 calls:

17.0ms
y
12.0ms
x
Results
AccuracySegmentsBranch
59.2%1x
63.0%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.3%)

Counts
26 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
Calls

1 calls:

21.0ms
y
Results
AccuracySegmentsBranch
61.9%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
61.9%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
Outputs
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
61.1%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes63.0ms (0.7%)

Counts
18 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
Calls

2 calls:

6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
56.8%2x
62.3%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
Calls

2 calls:

5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
55.7%2x
56.8%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
12 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
56.8%3y
53.8%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
53.5%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
51.5%2x
50.7%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
50.7%3y
40.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
Outputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
47.1%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
34.4%1x
34.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch35.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
6.1443903621378404e+147
2.6372742623094366e+151
17.0ms
1.1964788057307385e-6
182.7652756561159
Results
22.0ms272×0valid
Compiler

Compiled 354 to 265 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 7.0ms (48.4% of total)
ival-sinh: 3.0ms (20.8% of total)
ival-div: 2.0ms (13.8% of total)
ival-mult: 2.0ms (13.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
6.021327222668996e+125
2.1355071213382586e+128
16.0ms
1.1964788057307385e-6
182.7652756561159
Results
21.0ms272×0valid
Compiler

Compiled 322 to 219 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 6.0ms (43.9% of total)
ival-mult: 3.0ms (21.9% of total)
ival-div: 2.0ms (14.6% of total)
ival-sinh: 2.0ms (14.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.6%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
2.7992426204795757e+134
4.8130600772737415e+137
8.0ms
2.10499310518469e+38
5.2372875206331624e+38
9.0ms
3564692027.899527
10884189947.632162
Results
43.0ms288×0valid
Compiler

Compiled 729 to 520 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-cos: 29.0ms (83.1% of total)
ival-div: 2.0ms (5.7% of total)
ival-mult: 2.0ms (5.7% of total)
ival-sinh: 2.0ms (5.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch4.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
2.7992426204795757e+134
4.8130600772737415e+137
Results
2.0ms32×0valid
Compiler

Compiled 114 to 80 computations (29.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-cos: 1.0ms (71.4% of total)
ival-div: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.7992426204795757e+134
4.8130600772737415e+137
Results
9.0ms128×0valid
Compiler

Compiled 382 to 274 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 3.0ms (53.8% of total)
ival-div: 1.0ms (17.9% of total)
ival-mult: 1.0ms (17.9% of total)
ival-sinh: 1.0ms (17.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch2.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
2.0ms
6.021327222668996e+125
2.1355071213382586e+128
Results
1.0ms16×0valid
Compiler

Compiled 54 to 37 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch4.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
3.0ms
6.021327222668996e+125
2.1355071213382586e+128
Results
2.0ms32×0valid
Compiler

Compiled 90 to 60 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-cos: 1.0ms (70.3% of total)
ival-div: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch66.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×predicate-same
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
45.0ms
6.021327222668996e+125
2.1355071213382586e+128
8.0ms
2.7176257325456388e+69
7.578854821453582e+69
10.0ms
3564692027.899527
10884189947.632162
Results
54.0ms272×0valid
Compiler

Compiled 524 to 363 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 6.0ms (44.8% of total)
ival-mult: 3.0ms (22.4% of total)
ival-div: 2.0ms (14.9% of total)
ival-sinh: 2.0ms (14.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.342350886702749e+181
5.533067623921986e+182
Results
9.0ms112×0valid
Compiler

Compiled 196 to 150 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 4.0ms (65.7% of total)
ival-div: 1.0ms (16.4% of total)
ival-mult: 1.0ms (16.4% of total)
ival-sinh: 1.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
2.7176257325456388e+69
7.578854821453582e+69
9.0ms
3564692027.899527
10884189947.632162
Results
13.0ms160×0valid
Compiler

Compiled 284 to 210 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 5.0ms (54.4% of total)
ival-div: 1.0ms (10.9% of total)
ival-mult: 1.0ms (10.9% of total)
ival-sinh: 1.0ms (10.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.8634907921519025e-7
1.1964788057307385e-6
Results
7.0ms96×0valid
Compiler

Compiled 146 to 106 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 2.0ms (42.6% of total)
ival-div: 1.0ms (21.3% of total)
ival-mult: 1.0ms (21.3% of total)
ival-sinh: 1.0ms (21.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
6.192559404967684e+174
9.711061939860668e+175
Results
9.0ms96×0valid
Compiler

Compiled 134 to 106 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (57.3% of total)
ival-div: 1.0ms (19.1% of total)
ival-mult: 1.0ms (19.1% of total)
ival-sinh: 1.0ms (19.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.3536073156927042e+162
2.123177915917087e+166
8.0ms
1.2357036289459657e-24
2.642488595613133e-24
Results
18.0ms208×0valid
Compiler

Compiled 228 to 182 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 5.0ms (55.5% of total)
ival-div: 1.0ms (11.1% of total)
ival-mult: 1.0ms (11.1% of total)
ival-sinh: 1.0ms (11.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.8634907921519025e-7
1.1964788057307385e-6
Results
12.0ms96×0valid
Compiler

Compiled 86 to 70 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cos: 2.0ms (46.4% of total)
ival-div: 1.0ms (23.2% of total)
ival-mult: 1.0ms (23.2% of total)
ival-sinh: 1.0ms (23.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
54×*-commutative_binary64
22×+-commutative_binary64
2×1-exp_binary64
2×if-if-or-not_binary32
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113489
1157489
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 1261007895663739/18014398509481984 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (if (<=.f64 y #s(literal 26000000000000001318822311222388965728210640084799624504473686782301753621021141108981975267516558266507880351329490043361046856276863336490571782946816 binary64)) (/.f64 (sinh.f64 y) y) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
(if (<=.f64 y #s(literal 2582544170319337/36893488147419103232 binary64)) (cos.f64 x) (if (<=.f64 y #s(literal 19499999999999999060994890111699842876864735642590844130217797413856887937961141641976509754047235584023411777254472358668795904 binary64)) (/.f64 (sinh.f64 y) y) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))))
(if (<=.f64 y #s(literal 3600000000 binary64)) (cos.f64 x) (if (<=.f64 y #s(literal 519999999999999980738024709379944611840 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (if (<=.f64 y #s(literal 1449999999999999936583520851610073459326643825091926362315505376418572108284890262290954160936033379316976590891340779845203916591464448 binary64)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))))
(if (<=.f64 y #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
(if (<=.f64 y #s(literal 4600000000000000244032183061471369190953347997362641275226050302642282693638161614965720444493829105013400440092845135354297247936282624 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
(if (<=.f64 y #s(literal 999999999999999924867761618992882042544670869834838461439225972225294199975793026603163493762817653751530058413655532282839040 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))))
(if (<=.f64 y #s(literal 19999999999999999098582133569958947190600450174767048236959251965035770900582349244308780304596114601737544754773898621832134656 binary64)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))))
(if (<=.f64 y #s(literal 3600000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (if (<=.f64 y #s(literal 7499999999999999394614117212052619677427537709617026952332234528391168 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (if (<=.f64 y #s(literal 750000000000000056380865187388656470603571798264306160112181826768324443931811403498405825823318526571199466279139394745008128 binary64)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))))))
(if (<=.f64 x #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(if (<=.f64 y #s(literal 3600000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (if (<=.f64 y #s(literal 7499999999999999394614117212052619677427537709617026952332234528391168 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(if (<=.f64 y #s(literal 1369486280032197/1180591620717411303424 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(if (<=.f64 x #s(literal 75000000000000000558673537655573991858149620393736540426973190598447988935086212019778990728043029380634920195208848471279407537460732988731792693083717912782240417302032941056 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(if (<=.f64 y #s(literal 3266710722441009/1361129467683753853853498429727072845824 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1399999999999999952948296937407657014715179764567083893108071668403390933432520086694755952642660222848778090683349129050240256285476882131802274583872223882248192 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 1369486280032197/1180591620717411303424 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
#s(literal 1 binary64)
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 1261007895663739/18014398509481984 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (if (<=.f64 y #s(literal 26000000000000001318822311222388965728210640084799624504473686782301753621021141108981975267516558266507880351329490043361046856276863336490571782946816 binary64)) (/.f64 (sinh.f64 y) y) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
(if (<=.f64 y #s(literal 2582544170319337/36893488147419103232 binary64)) (cos.f64 x) (if (<=.f64 y #s(literal 19499999999999999060994890111699842876864735642590844130217797413856887937961141641976509754047235584023411777254472358668795904 binary64)) (/.f64 (sinh.f64 y) y) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))))
(if (<=.f64 y #s(literal 3600000000 binary64)) (cos.f64 x) (if (<=.f64 y #s(literal 519999999999999980738024709379944611840 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (if (<=.f64 y #s(literal 1449999999999999936583520851610073459326643825091926362315505376418572108284890262290954160936033379316976590891340779845203916591464448 binary64)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))))
(if (<=.f64 y #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))))))) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
(if (<=.f64 y #s(literal 4600000000000000244032183061471369190953347997362641275226050302642282693638161614965720444493829105013400440092845135354297247936282624 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
(if (<=.f64 y #s(literal 999999999999999924867761618992882042544670869834838461439225972225294199975793026603163493762817653751530058413655532282839040 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))))
(if (<=.f64 y #s(literal 19999999999999999098582133569958947190600450174767048236959251965035770900582349244308780304596114601737544754773898621832134656 binary64)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))) y) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))))
(if (<=.f64 y #s(literal 3600000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (if (<=.f64 y #s(literal 7499999999999999394614117212052619677427537709617026952332234528391168 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (if (<=.f64 y #s(literal 750000000000000056380865187388656470603571798264306160112181826768324443931811403498405825823318526571199466279139394745008128 binary64)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) (*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))))))
(if (<=.f64 x #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal 3600000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (if (<=.f64 y #s(literal 7499999999999999394614117212052619677427537709617026952332234528391168 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(if (<=.f64 y #s(literal 1369486280032197/1180591620717411303424 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(if (<=.f64 x #s(literal 75000000000000000558673537655573991858149620393736540426973190598447988935086212019778990728043029380634920195208848471279407537460732988731792693083717912782240417302032941056 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 75000000000000000558673537655573991858149620393736540426973190598447988935086212019778990728043029380634920195208848471279407537460732988731792693083717912782240417302032941056 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal 3266710722441009/1361129467683753853853498429727072845824 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1399999999999999952948296937407657014715179764567083893108071668403390933432520086694755952642660222848778090683349129050240256285476882131802274583872223882248192 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 3266710722441009/1361129467683753853853498429727072845824 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1399999999999999952948296937407657014715179764567083893108071668403390933432520086694755952642660222848778090683349129050240256285476882131802274583872223882248192 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 1369486280032197/1180591620717411303424 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
#s(literal 1 binary64)

soundness1.8s (20.7%)

Rules
5410×*-lowering-*.f32
5410×*-lowering-*.f64
3968×*-lowering-*.f32
3968×*-lowering-*.f64
3142×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01760
17853
263653
3713453
0813453
01121542
13871283
215461193
362061178
478701178
081431178
084675
1255619
2899585
33110576
46396576
08353576
01342782
14702066
219082000
370731822
084771822
0951602
12791348
27771309
323541305
466061305
080921305
Stop Event
1×fuel
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
Compiler

Compiled 1459 to 795 computations (45.5% saved)

preprocess129.0ms (1.5%)

Remove

(abs y)

(abs x)

Compiler

Compiled 1090 to 286 computations (73.8% saved)

end0.0ms (0%)

Profiling

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