Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 11.0s)

analyze19.0ms (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: 8.0ms
ival-mult: 3.0ms (39% of total)
ival-cos: 2.0ms (26% of total)
ival-div: 1.0ms (13% of total)
ival-sinh: 1.0ms (13% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample911.0ms (8.3%)

Results
713.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 431.0ms
ival-cos: 220.0ms (51% of total)
ival-div: 79.0ms (18.3% of total)
ival-mult: 68.0ms (15.8% of total)
ival-sinh: 55.0ms (12.8% of total)
const: 7.0ms (1.6% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess279.0ms (2.5%)

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)

explain117.0ms (1.1%)

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
58.0ms512×0valid
Compiler

Compiled 49 to 20 computations (59.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-cos: 29.0ms (73.4% of total)
ival-div: 4.0ms (10.1% of total)
ival-mult: 4.0ms (10.1% of total)
ival-sinh: 3.0ms (7.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (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)

simplify224.0ms (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

localize30.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
Results
22.0ms256×0valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-cos: 6.0ms (52.3% of total)
ival-div: 2.0ms (17.4% of total)
ival-mult: 2.0ms (17.4% of total)
ival-sinh: 1.0ms (8.7% 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))

rewrite375.0ms (3.4%)

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
388415
0839015
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 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 y)))))
(+.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))))
(+.f64 (*.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 y) #s(literal 2 binary64)))) (*.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal -1 binary64)) (/.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 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 y))) (/.f64 (cos.f64 x) y)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (cos.f64 x) y) #s(literal -1 binary64))) (/.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 (cos.f64 x) y) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 (/.f64 (cos.f64 x) y) #s(literal -1 binary64))))
(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 #s(literal 0 binary64) (/.f64 y (sinh.f64 y)))))
(neg.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (/.f64 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 (/.f64 y (sinh.f64 y)) #s(literal 2 binary64)))))
(/.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 y (sinh.f64 y)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.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 #s(literal 0 binary64) (/.f64 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 (/.f64 y (sinh.f64 y)) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (/.f64 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 (*.f64 y #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 (cos.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (sinh.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 (/.f64 y (sinh.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (cos.f64 x) y) #s(literal -1 binary64)) (/.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 y (/.f64 #s(literal -1/2 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 (cos.f64 x) y) #s(literal -1 binary64)) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) y)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (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 (cos.f64 x) y) #s(literal -1 binary64)) (-.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 (/.f64 (cos.f64 x) y) #s(literal -1 binary64)) (-.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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(*.f64 (cosh.f64 y) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))
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(*.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
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(*.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))
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(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1/4 binary64))
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simplify300.0ms (2.7%)

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
1255649
2897610
33096603
46384603
08341603
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 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (+.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 x (*.f64 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 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (+.f64 #s(literal 1/48 binary64) (*.f64 x (*.f64 x #s(literal -1/1440 binary64)))) y)))) (*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) y)))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(cos x)
(cos.f64 x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(+ (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 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))))))))))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 y (*.f64 y #s(literal 1/6 binary64))))
(+ 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 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)))))))))
(* 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 y (*.f64 y #s(literal 1/6 binary64)))))
(* 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 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))))))))))
(* 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)))

eval164.0ms (1.5%)

Compiler

Compiled 11176 to 1794 computations (83.9% saved)

prune113.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5965601
Fresh000
Picked101
Done000
Total5975602
Accuracy
100.0%
Counts
602 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
▶64.7%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 (sinh.f64 y) y))
▶77.2%
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
▶66.7%
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
▶54.3%
(cos.f64 x)
Compiler

Compiled 94 to 68 computations (27.7% saved)

simplify253.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 (sinh.f64 y) y))
✓cost-diff0
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
✓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)
✓cost-diff0
(sinh.f64 y)
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(/.f64 (cos.f64 x) y)
✓cost-diff0
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
Rules
4618×*-lowering-*.f32
4618×*-lowering-*.f64
2280×+-lowering-+.f64
2280×+-lowering-+.f32
1912×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019100
15296
212296
332396
483396
5302296
6760196
0834696
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (cos x) y) (sinh y))
(/ (cos x) y)
(cos x)
x
y
(sinh y)
(cos x)
x
(* 1 (/ (sinh y) y))
1
(/ (sinh y) y)
(sinh y)
y
(* (cos x) (+ 1 (* y (* y 1/6))))
(cos x)
x
(+ 1 (* y (* y 1/6)))
1
(* y (* y 1/6))
y
(* y 1/6)
1/6
(* (+ 1 (* (* x x) -1/2)) (/ (sinh y) y))
(+ 1 (* (* x x) -1/2))
1
(* (* x x) -1/2)
(* x x)
x
-1/2
(/ (sinh y) y)
(sinh y)
y
Outputs
(* (/ (cos x) y) (sinh y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/ (cos x) y)
(/.f64 (cos.f64 x) y)
(cos x)
(cos.f64 x)
x
y
(sinh y)
(sinh.f64 y)
(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 (* y (* y 1/6))))
(*.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 (* y (* y 1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
1
#s(literal 1 binary64)
(* y (* y 1/6))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
y
(* y 1/6)
(*.f64 y #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (+ 1 (* (* x x) -1/2)) (/ (sinh y) y))
(/.f64 (*.f64 (sinh.f64 y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) y)
(+ 1 (* (* x x) -1/2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(* (* x x) -1/2)
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* x x)
(*.f64 x x)
x
-1/2
#s(literal -1/2 binary64)
(/ (sinh y) y)
(/.f64 (sinh.f64 y) y)
(sinh y)
(sinh.f64 y)
y

localize100.0ms (0.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
✓accuracy99.8%
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
✓accuracy99.4%
(*.f64 y #s(literal 1/6 binary64))
✓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)
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(sinh.f64 y)
✓accuracy99.8%
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
✓accuracy99.8%
(/.f64 (cos.f64 x) y)
Results
73.0ms256×0valid
Compiler

Compiled 105 to 20 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 17.0ms (43.5% of total)
ival-cos: 6.0ms (15.3% of total)
ival-div: 5.0ms (12.8% of total)
ival-add: 4.0ms (10.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (10.2% of total)
const: 1.0ms (2.6% of total)
ival-sinh: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

Counts
14 → 216
Calls
Call 1
Inputs
#<alt (* (/ (cos x) y) (sinh y))>
#<alt (/ (cos x) y)>
#<alt (cos x)>
#<alt (sinh y)>
#<alt (* 1 (/ (sinh y) y))>
#<alt (/ (sinh y) y)>
#<alt (* (cos x) (+ 1 (* y (* y 1/6))))>
#<alt (+ 1 (* y (* y 1/6)))>
#<alt (* y (* y 1/6))>
#<alt (* (+ 1 (* (* x x) -1/2)) (/ (sinh y) y))>
#<alt (+ 1 (* (* x x) -1/2))>
#<alt (* (* x x) -1/2)>
#<alt (* x x)>
#<alt (* y 1/6)>
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 y)>
#<alt (+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))>
#<alt (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) y)>
#<alt (/ (cos x) 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 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 (* (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 (+ 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 (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 (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
y
@0
(* (+ 1 (* (* x x) -1/2)) (/ (sinh y) y))
2.0ms
x
@inf
(* (cos x) (+ 1 (* y (* y 1/6))))
1.0ms
y
@inf
(* (+ 1 (* (* x x) -1/2)) (/ (sinh y) y))
1.0ms
y
@-inf
(* (+ 1 (* (* x x) -1/2)) (/ (sinh y) y))
1.0ms
x
@inf
(* (+ 1 (* (* x x) -1/2)) (/ (sinh y) y))

rewrite436.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
4322×*-lowering-*.f32
4322×*-lowering-*.f64
2962×/-lowering-/.f32
2962×/-lowering-/.f64
1796×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01975
18771
269671
3770371
0860171
Stop Event
1×iter limit
1×node limit
Counts
14 → 640
Calls
Call 1
Inputs
(* (/ (cos x) y) (sinh y))
(/ (cos x) y)
(cos x)
(sinh y)
(* 1 (/ (sinh y) y))
(/ (sinh y) y)
(* (cos x) (+ 1 (* y (* y 1/6))))
(+ 1 (* y (* y 1/6)))
(* y (* y 1/6))
(* (+ 1 (* (* x x) -1/2)) (/ (sinh y) y))
(+ 1 (* (* x x) -1/2))
(* (* x x) -1/2)
(* x x)
(* y 1/6)
Outputs
(-.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 y (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 y))) (/.f64 y (cos.f64 x))))
(neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) y)) (sinh.f64 y)))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) y)))
(neg.f64 (*.f64 (sinh.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) y))))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 y))) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (cos.f64 x)) (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 y (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y (cos.f64 x)) (sinh.f64 y)) #s(literal 1 binary64)))
(/.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 (/.f64 #s(literal 2 binary64) (/.f64 (cos.f64 x) y)) (*.f64 (sinh.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 y (cos.f64 x)))))
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (cos.f64 x) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (/.f64 y (sinh.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) y)))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) y)) (/.f64 #s(literal 1 binary64) (sinh.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (cos.f64 x)) (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (/.f64 y (cos.f64 x)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 (cos.f64 x) y))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 y (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 y (cos.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (/.f64 y (cos.f64 x)) #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 -1 binary64) (/.f64 (cos.f64 x) y))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) y))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) y)) #s(literal -2 binary64)))
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 y #s(literal -2 binary64)))
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(*.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 x) (*.f64 (*.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 x) (*.f64 (*.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 0 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) (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 x) (*.f64 (*.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 (*.f64 x 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 x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.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 x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.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 x (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) y)
(*.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))

simplify236.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
4180×*-lowering-*.f32
4180×*-lowering-*.f64
2766×+-lowering-+.f64
2766×+-lowering-+.f32
1392×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01562080
15411942
221261815
366051795
087371795
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
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 y)
(+ (* -1/2 (/ (pow x 2) y)) (/ 1 y))
(+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) y)
(/ (cos x) 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)
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 (* 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))
(+ 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))
(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)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
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))) y) (+.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)) (* 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))) (/.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 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))))
(+ (* 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 x x) (*.f64 (*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (/.f64 (*.f64 x x) y)) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) #s(literal -1/1440 binary64))))) (*.f64 (/.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(* 1/2 (/ (* (cos x) (- (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)) (cos.f64 x))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
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(*.f64 y (*.f64 y #s(literal 1/6 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))
(+ (* -1/4 (/ (* (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))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (* -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))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (* -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))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) y))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(*.f64 (/.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(*.f64 (/.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(*.f64 (/.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))
(*.f64 (*.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) y))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(*.f64 (/.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(*.f64 (/.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))
(*.f64 (/.f64 (+.f64 (exp.f64 y) (/.f64 #s(literal -1 binary64) (exp.f64 y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(+ 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))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))))))
(+ 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))))))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (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) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (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) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (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) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (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) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (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) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (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) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (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) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) y))
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (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) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(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)
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))

eval163.0ms (1.5%)

Compiler

Compiled 20038 to 1835 computations (90.8% saved)

prune151.0ms (1.4%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1025151040
Fresh000
Picked325
Done000
Total1028171045
Accuracy
100.0%
Counts
1045 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.7%
(/.f64 (sinh.f64 y) y)
43.6%
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sinh.f64 y))))
60.9%
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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)))))))))))
61.8%
(+.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))))))))
37.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
59.5%
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
49.5%
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
▶40.2%
(+.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))))))))
▶39.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
66.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
50.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
51.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
51.9%
(*.f64 (+.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)))))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
✓77.2%
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
▶62.5%
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))))))) y))
✓54.3%
(cos.f64 x)
▶32.8%
#s(literal 1 binary64)
Compiler

Compiled 512 to 352 computations (31.3% saved)

simplify162.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.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))))))))
✓cost-diff0
(*.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)))))))))
✓cost-diff256
(/.f64 (*.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))))))))) y)
✓cost-diff384
(*.f64 #s(literal 1 binary64) (/.f64 (*.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))))))))) y))
✓cost-diff0
(+.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)))))
✓cost-diff0
(*.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))))))
✓cost-diff0
(*.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)))))))
✓cost-diff0
(+.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))))))))
✓cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
✓cost-diff0
(sinh.f64 y)
✓cost-diff0
(/.f64 (sinh.f64 y) y)
Rules
2220×sum3-define
1740×*-lowering-*.f32
1740×*-lowering-*.f64
1502×sum5-define
1486×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035315
1114280
2397266
31144266
42529266
53924266
65194266
76704266
08093266
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sinh y) y)
(sinh y)
y
1
(+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24)))))
1
(* x (* x (+ -1/2 (* (* x x) 1/24))))
x
(* x (+ -1/2 (* (* x x) 1/24)))
(+ -1/2 (* (* x x) 1/24))
-1/2
(* (* x x) 1/24)
(* x x)
1/24
(+ 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 (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))
(+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))
-1/2
(* (* x x) (+ 1/24 (* (* x x) -1/720)))
(* x x)
(+ 1/24 (* (* x x) -1/720))
1/24
(* (* x x) -1/720)
-1/720
(* 1 (/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))))) y))
1
(/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))))) y)
(* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040))))))))
y
(+ 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)
(+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))
1/6
(* y (* y (+ 1/120 (* (* y y) 1/5040))))
(* y (+ 1/120 (* (* y y) 1/5040)))
(+ 1/120 (* (* y y) 1/5040))
1/120
(* (* y y) 1/5040)
1/5040
Outputs
(/ (sinh y) y)
(/.f64 (sinh.f64 y) y)
(sinh y)
(sinh.f64 y)
y
1
#s(literal 1 binary64)
(+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24)))))
(+.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
#s(literal 1 binary64)
(* x (* x (+ -1/2 (* (* x x) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
x
(* x (+ -1/2 (* (* x x) 1/24)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(+ -1/2 (* (* x x) 1/24))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
-1/2
#s(literal -1/2 binary64)
(* (* x x) 1/24)
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* x x)
(*.f64 x x)
1/24
#s(literal 1/24 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 (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))
(*.f64 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)))))))
(+ -1/2 (* (* 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 x)
(*.f64 x x)
(+ 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)
(* 1 (/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))))) 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
#s(literal 1 binary64)
(/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))))) 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))))))))
(* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040))))))))
(*.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)))))))))
y
(+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))))
(+.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))))))))
(* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040))))))
(*.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)))))))
(* y y)
(*.f64 y y)
(+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))
(+.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))))))
1/6
#s(literal 1/6 binary64)
(* y (* y (+ 1/120 (* (* y y) 1/5040))))
(*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))
(* y (+ 1/120 (* (* y y) 1/5040)))
(*.f64 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))
1/5040
#s(literal 1/5040 binary64)

localize284.0ms (2.6%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
✓accuracy99.8%
(*.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)))))))
✓accuracy99.7%
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64))
✓accuracy99.3%
(/.f64 (*.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))))))))) y)
✓accuracy100.0%
(*.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)))))))
✓accuracy99.9%
(*.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))))))
✓accuracy99.8%
(*.f64 (*.f64 x 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))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
✓accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
✓accuracy100.0%
(sinh.f64 y)
✓accuracy100.0%
(/.f64 (sinh.f64 y) y)
Results
224.0ms256×0valid
Compiler

Compiled 316 to 36 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 46.0ms (45.8% of total)
...c/correct-round.rkt:119:19: 38.0ms (37.9% of total)
ival-add: 10.0ms (10% of total)
ival-div: 4.0ms (4% of total)
ival-sinh: 2.0ms (2% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/ (sinh y) y)>
#<alt (sinh y)>
#<alt (+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24)))))>
#<alt (* x (* x (+ -1/2 (* (* x x) 1/24))))>
#<alt (* x (+ -1/2 (* (* x x) 1/24)))>
#<alt (+ -1/2 (* (* x x) 1/24))>
#<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 (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))>
#<alt (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))>
#<alt (* 1 (/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))))) y))>
#<alt (/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))))) y)>
#<alt (* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040))))))))>
#<alt (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))))>
#<alt (* (* x x) 1/24)>
#<alt (* (* x x) -1/720)>
#<alt (* (* x x) (+ 1/24 (* (* x x) -1/720)))>
#<alt (* (* y y) 1/5040)>
#<alt (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040))))))>
#<alt (* y (+ 1/120 (* (* y y) 1/5040)))>
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 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt -1/2>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 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 (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* -1/720 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (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>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt 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 (* 1/5040 (pow y 7))>
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/5040 (pow y 7))>
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))>
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (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 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (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))>
#<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 (* 1/6 (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 (* 1/120 y)>
#<alt (* y (+ 1/120 (* 1/5040 (pow y 2))))>
#<alt (* y (+ 1/120 (* 1/5040 (pow y 2))))>
#<alt (* y (+ 1/120 (* 1/5040 (pow y 2))))>
#<alt (* 1/5040 (pow y 3))>
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* 1/5040 (pow y 3))>
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))
1.0ms
y
@inf
(* 1 (/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))))) y))
0.0ms
y
@inf
(* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040))))))
0.0ms
x
@inf
(+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24)))))
0.0ms
x
@inf
(+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))))

rewrite600.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
3440×*-lowering-*.f32
3440×*-lowering-*.f64
2560×fma-lowering-fma.f32
2560×fma-lowering-fma.f64
2480×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035248
1226218
22049212
09106212
Stop Event
1×iter limit
1×node limit
Counts
20 → 559
Calls
Call 1
Inputs
(/ (sinh y) y)
(sinh y)
(+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24)))))
(* x (* x (+ -1/2 (* (* x x) 1/24))))
(* x (+ -1/2 (* (* x x) 1/24)))
(+ -1/2 (* (* x x) 1/24))
(+ 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 (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))
(+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))
(* 1 (/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))))) y))
(/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))))) y)
(* y (+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040))))))))
(+ 1 (* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040)))))))
(* (* x x) 1/24)
(* (* x x) -1/720)
(* (* x x) (+ 1/24 (* (* x x) -1/720)))
(* (* y y) 1/5040)
(* (* y y) (+ 1/6 (* y (* y (+ 1/120 (* (* y y) 1/5040))))))
(* y (+ 1/120 (* (* y y) 1/5040)))
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 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64)) y))
(-.f64 (/.f64 (exp.f64 y) (*.f64 y #s(literal 2 binary64))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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) (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) (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 (neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 y))) (neg.f64 (-.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 (*.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 (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 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64))
(*.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 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (sinh.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (sinh.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) y)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.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 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 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 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 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 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) (+.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 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 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 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 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.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 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))) (neg.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 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)))))))))
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(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
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(fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64))) (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))
(/.f64 (*.f64 y (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)))) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))) y) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64))) (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (-.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 y (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))) y)) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y)) (neg.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1/1728000 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64))) (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))) (*.f64 y #s(literal 1/120 binary64))))))
(*.f64 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)))) y)

simplify293.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
3754×*-lowering-*.f32
3754×*-lowering-*.f64
2458×+-lowering-+.f64
2458×+-lowering-+.f32
1728×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01382332
14052231
212042192
337842178
081252178
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
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))))
(* 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 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* 1/24 (pow x 2)) 1/2))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
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)))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* -1/720 (pow x 5))
(* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 5))
(* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(* -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 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -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 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
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))))))))
(* 1/5040 (pow y 7))
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 7))
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (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))
(* -1/720 (pow x 2))
(* 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))
(* 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))
(* 1/6 (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))))))
(* 1/120 y)
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* 1/5040 (pow y 3))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 3))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
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 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 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 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))) y)
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
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(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
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(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
(* 1/5040 (pow y 3))
(*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y)))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))

eval114.0ms (1%)

Compiler

Compiled 25751 to 2470 computations (90.4% saved)

prune147.0ms (1.3%)

Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New78316799
Fresh2810
Picked235
Done022
Total78729816
Accuracy
100.0%
Counts
816 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.5%
(/.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)
60.2%
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
56.4%
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
✓66.7%
(/.f64 (sinh.f64 y) y)
60.9%
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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)))))))))))
32.4%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
61.8%
(+.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))))))))
59.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
37.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
49.5%
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
40.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) x)))))
✓39.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
40.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))))))
▶49.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
61.8%
(*.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)))))))) y) y)
▶66.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
50.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
▶51.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
51.9%
(*.f64 (+.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)))))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
▶9.7%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓77.2%
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
10.7%
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
22.5%
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (*.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 y (*.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 y (*.f64 y (*.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))
38.5%
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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))
62.5%
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.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))))))) y))) y))
▶45.7%
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) y))
35.6%
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))) y) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))))))) y))
✓54.3%
(cos.f64 x)
✓32.8%
#s(literal 1 binary64)
Compiler

Compiled 1262 to 720 computations (42.9% saved)

simplify181.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))
✓cost-diff0
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))))))))
✓cost-diff256
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) y)
✓cost-diff384
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) y))
✓cost-diff0
(*.f64 y #s(literal 1/6 binary64))
✓cost-diff0
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
✓cost-diff256
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓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 #s(literal 1 binary64) y)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
Rules
3638×+-lowering-+.f64
3638×+-lowering-+.f32
2418×*-lowering-*.f32
2418×*-lowering-*.f64
2024×sum5-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045458
1145395
2467351
31586351
44417349
08390349
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1 y) (sinh y))
(/ 1 y)
1
y
(sinh y)
(+ 1 (* 1/6 (* y y)))
1
(* 1/6 (* y y))
1/6
(* y y)
y
(* (* x (* x (* x x))) (+ 1/24 (/ -1/2 (* x x))))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(+ 1/24 (/ -1/2 (* x x)))
1/24
(/ -1/2 (* x x))
-1/2
(* (+ 1 (* y (* y 1/6))) (+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24))))))
(+ 1 (* y (* y 1/6)))
1
(* y (* y 1/6))
y
(* y 1/6)
1/6
(+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24)))))
(* x (* x (+ -1/2 (* (* x x) 1/24))))
x
(* x (+ -1/2 (* (* x x) 1/24)))
(+ -1/2 (* (* x x) 1/24))
-1/2
(* (* x x) 1/24)
(* x x)
1/24
(* 1 (/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))) y))
1
(/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))) y)
(* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y)))))))))
y
(+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))
(* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y)))))))
(* y y)
(+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))
1/6
(* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y)))))
(/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))
(* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y)
(- 1/14400 (* (* (* y y) (* y y)) 1/25401600))
1/14400
(* (* (* y y) (* y y)) 1/25401600)
(* (* y y) (* y y))
1/25401600
(+ 1/120 (* -1/5040 (* y y)))
1/120
(* -1/5040 (* y y))
-1/5040
Outputs
(* (/ 1 y) (sinh y))
(/.f64 (sinh.f64 y) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(sinh y)
(sinh.f64 y)
(+ 1 (* 1/6 (* y y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
1
#s(literal 1 binary64)
(* 1/6 (* y y))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
1/6
#s(literal 1/6 binary64)
(* y y)
(*.f64 y y)
y
(* (* x (* x (* x x))) (+ 1/24 (/ -1/2 (* x x))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(+ 1/24 (/ -1/2 (* x x)))
(+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
1/24
#s(literal 1/24 binary64)
(/ -1/2 (* x x))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(* (+ 1 (* y (* y 1/6))) (+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24))))))
(*.f64 (+.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 (*.f64 x x) #s(literal 1/24 binary64)))))))
(+ 1 (* y (* y 1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
1
#s(literal 1 binary64)
(* y (* y 1/6))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
y
(* y 1/6)
(*.f64 y #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(* x (* x (+ -1/2 (* (* x x) 1/24))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
x
(* x (+ -1/2 (* (* x x) 1/24)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(+ -1/2 (* (* x x) 1/24))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
-1/2
#s(literal -1/2 binary64)
(* (* x x) 1/24)
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* x x)
(*.f64 x x)
1/24
#s(literal 1/24 binary64)
(* 1 (/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))) y))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 y (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/25401600 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
1
#s(literal 1 binary64)
(/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))) y)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 y (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/25401600 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y)))))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 y (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/25401600 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))
y
(+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 y (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/25401600 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y)))))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 y (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/25401600 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))
(* y y)
(*.f64 y y)
(+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))
(+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 y (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/25401600 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))
1/6
#s(literal 1/6 binary64)
(* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y)))))
(*.f64 y (/.f64 (*.f64 y (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/25401600 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))
(/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))
(/.f64 (*.f64 y (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/25401600 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))
(* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y)
(*.f64 y (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/25401600 binary64)))))
(- 1/14400 (* (* (* y y) (* y y)) 1/25401600))
(+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1/25401600 binary64))))
1/14400
#s(literal 1/14400 binary64)
(* (* (* y y) (* y y)) 1/25401600)
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))
(* (* y y) (* y y))
(*.f64 y (*.f64 y (*.f64 y y)))
1/25401600
#s(literal 1/25401600 binary64)
(+ 1/120 (* -1/5040 (* y y)))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))
1/120
#s(literal 1/120 binary64)
(* -1/5040 (* y y))
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
-1/5040
#s(literal -1/5040 binary64)

localize287.0ms (2.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 #s(literal -1/5040 binary64) (*.f64 y y))
✓accuracy99.5%
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))
✓accuracy99.3%
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) y)
✓accuracy76.9%
(/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
✓accuracy99.8%
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
✓accuracy99.4%
(*.f64 y #s(literal 1/6 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.5%
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓accuracy61.3%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓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%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(sinh.f64 y)
✓accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
Results
218.0ms256×0valid
Compiler

Compiled 465 to 46 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-mult: 102.0ms (71.8% of total)
...c/correct-round.rkt:119:19: 19.0ms (13.4% of total)
ival-add: 10.0ms (7% of total)
ival-div: 8.0ms (5.6% of total)
ival-sinh: 2.0ms (1.4% of total)
ival-sub: 1.0ms (0.7% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
24 → 300
Calls
Call 1
Inputs
#<alt (* (/ 1 y) (sinh y))>
#<alt (/ 1 y)>
#<alt (sinh y)>
#<alt (+ 1 (* 1/6 (* y y)))>
#<alt (* 1/6 (* y y))>
#<alt (* y y)>
#<alt (* (* x (* x (* x x))) (+ 1/24 (/ -1/2 (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (* (+ 1 (* y (* y 1/6))) (+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24))))))>
#<alt (+ 1 (* y (* y 1/6)))>
#<alt (* y (* y 1/6))>
#<alt (* y 1/6)>
#<alt (* 1 (/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))) y))>
#<alt (/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))) y)>
#<alt (* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y)))))))))>
#<alt (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))>
#<alt (/ -1/2 (* x x))>
#<alt (* (* x x) 1/24)>
#<alt (* x (+ -1/2 (* (* x x) 1/24)))>
#<alt (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))>
#<alt (* (* (* y y) (* y y)) 1/25401600)>
#<alt (* -1/5040 (* y y))>
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 (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 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 (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))>
#<alt (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))>
#<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)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))>
#<alt (* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))>
#<alt (* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))>
#<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 (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt 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 (* 1/5040 (pow y 7))>
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/5040 (pow y 7))>
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))>
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (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 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* 1/5040 (pow y 6))>
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (/ -1/2 (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 (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* 1/120 y)>
#<alt (* y (+ 1/120 (* 1/5040 (pow y 2))))>
#<alt (* y (+ 1/120 (* 1/5040 (pow y 2))))>
#<alt (* y (+ 1/120 (* 1/5040 (pow y 2))))>
#<alt (* 1/5040 (pow y 3))>
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* 1/5040 (pow y 3))>
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))>
#<alt (* 1/25401600 (pow y 4))>
#<alt (* 1/25401600 (pow y 4))>
#<alt (* 1/25401600 (pow y 4))>
#<alt (* 1/25401600 (pow y 4))>
#<alt (* 1/25401600 (pow y 4))>
#<alt (* 1/25401600 (pow y 4))>
#<alt (* 1/25401600 (pow y 4))>
#<alt (* 1/25401600 (pow y 4))>
#<alt (* 1/25401600 (pow y 4))>
#<alt (* 1/25401600 (pow y 4))>
#<alt (* 1/25401600 (pow y 4))>
#<alt (* 1/25401600 (pow y 4))>
#<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))>
Calls

75 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))
1.0ms
y
@0
(* (+ 1 (* y (* y 1/6))) (+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24))))))
1.0ms
y
@0
(/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))
1.0ms
y
@inf
(* 1 (/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))) y))
0.0ms
y
@inf
(* (+ 1 (* y (* y 1/6))) (+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24))))))

rewrite529.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
3600×*-lowering-*.f32
3600×*-lowering-*.f64
2728×fma-lowering-fma.f32
2728×fma-lowering-fma.f64
1954×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045260
1289185
22400182
08460182
Stop Event
1×iter limit
1×node limit
Counts
24 → 577
Calls
Call 1
Inputs
(* (/ 1 y) (sinh y))
(/ 1 y)
(sinh y)
(+ 1 (* 1/6 (* y y)))
(* 1/6 (* y y))
(* y y)
(* (* x (* x (* x x))) (+ 1/24 (/ -1/2 (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* (+ 1 (* y (* y 1/6))) (+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24))))))
(+ 1 (* y (* y 1/6)))
(* y (* y 1/6))
(* y 1/6)
(* 1 (/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))) y))
(/ (* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))) y)
(* y (+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y)))))))))
(+ 1 (* (* y y) (+ 1/6 (* y (/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))))))
(/ -1/2 (* x x))
(* (* x x) 1/24)
(* x (+ -1/2 (* (* x x) 1/24)))
(/ (* (- 1/14400 (* (* (* y y) (* y y)) 1/25401600)) y) (+ 1/120 (* -1/5040 (* y y))))
(* (* (* y y) (* y y)) 1/25401600)
(* -1/5040 (* y y))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) 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 #s(literal 0 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) 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 (neg.f64 (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 #s(literal -1 binary64) (sinh.f64 y)) (-.f64 #s(literal 0 binary64) y))
(/.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 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 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 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(*.f64 (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 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(fma.f64 #s(literal 1 binary64) (*.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 1/6 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 #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 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) (*.f64 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 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (neg.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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) #s(literal 1 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 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) (*.f64 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 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) (+.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(pow.f64 (/.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 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.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 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/6 binary64))
(*.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/6 binary64))) y)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(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)))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) x) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
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(*.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (*.f64 y (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))))) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))))
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))))) (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal -1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))))) (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 y (*.f64 y #s(literal -1/5040 binary64))) #s(literal 2 binary64))
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))
(*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/25401600 binary64)))
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))
(*.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal -1/5040 binary64)) (*.f64 y #s(literal -1/5040 binary64))))
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/25401600 binary64))
(*.f64 #s(literal 1/25401600 binary64) (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(*.f64 (*.f64 y (*.f64 y #s(literal -1/5040 binary64))) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))
(*.f64 (*.f64 y #s(literal -1/5040 binary64)) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)) (*.f64 y y))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/25401600 binary64)))
(*.f64 (*.f64 (*.f64 y #s(literal -1/5040 binary64)) (*.f64 y #s(literal -1/5040 binary64))) (*.f64 y y))
(*.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/5040 binary64))) (*.f64 y y)) #s(literal -1/5040 binary64))
(*.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/5040 binary64))) #s(literal -1/5040 binary64)) (*.f64 y y))
(*.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/5040 binary64))) (*.f64 y #s(literal -1/5040 binary64))) y)
(*.f64 (*.f64 #s(literal 1/25401600 binary64) y) (*.f64 y (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y (*.f64 y y))) y)
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64))
(*.f64 #s(literal -1/5040 binary64) (*.f64 y y))
(*.f64 (*.f64 y #s(literal -1/5040 binary64)) y)

simplify314.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
4110×*-lowering-*.f32
4110×*-lowering-*.f64
2240×sum3-define
1716×+-lowering-+.f64
1716×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01372547
14562390
215662288
367012283
080922283
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
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))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 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 (* 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))
(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)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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)
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+ 1 (+ (* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))
(* 1/6 (* (pow y 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))
(* (pow y 2) (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow y 2)))))
(+ 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)))) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))
(* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))
(* 1/24 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/24 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 4))))))
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))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
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))))))))
(* 1/5040 (pow y 7))
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 7))
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 1/5040 (pow y 6))
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(/ -1/2 (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))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* 1/24 (pow x 2)) 1/2))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* 1/120 y)
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* y (+ 1/120 (* 1/5040 (pow y 2))))
(* 1/5040 (pow y 3))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/5040 (pow y 3))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))
(* 1/25401600 (pow y 4))
(* 1/25401600 (pow y 4))
(* 1/25401600 (pow y 4))
(* 1/25401600 (pow y 4))
(* 1/25401600 (pow y 4))
(* 1/25401600 (pow y 4))
(* 1/25401600 (pow y 4))
(* 1/25401600 (pow y 4))
(* 1/25401600 (pow y 4))
(* 1/25401600 (pow y 4))
(* 1/25401600 (pow y 4))
(* 1/25401600 (pow y 4))
(* -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))
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 y (*.f64 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 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 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))
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(*.f64 #s(literal 1/25401600 binary64) (*.f64 y (*.f64 y (*.f64 y y))))
(* 1/25401600 (pow y 4))
(*.f64 #s(literal 1/25401600 binary64) (*.f64 y (*.f64 y (*.f64 y y))))
(* 1/25401600 (pow y 4))
(*.f64 #s(literal 1/25401600 binary64) (*.f64 y (*.f64 y (*.f64 y y))))
(* 1/25401600 (pow y 4))
(*.f64 #s(literal 1/25401600 binary64) (*.f64 y (*.f64 y (*.f64 y y))))
(* 1/25401600 (pow y 4))
(*.f64 #s(literal 1/25401600 binary64) (*.f64 y (*.f64 y (*.f64 y y))))
(* 1/25401600 (pow y 4))
(*.f64 #s(literal 1/25401600 binary64) (*.f64 y (*.f64 y (*.f64 y y))))
(* 1/25401600 (pow y 4))
(*.f64 #s(literal 1/25401600 binary64) (*.f64 y (*.f64 y (*.f64 y y))))
(* -1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))
(* -1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))
(* -1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))
(* -1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))
(* -1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))
(* -1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))
(* -1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))
(* -1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))
(* -1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))
(* -1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))
(* -1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))
(* -1/5040 (pow y 2))
(*.f64 y (*.f64 y #s(literal -1/5040 binary64)))

eval217.0ms (2%)

Compiler

Compiled 32946 to 2622 computations (92% saved)

prune123.0ms (1.1%)

Pruning

32 alts after pruning (24 fresh and 8 done)

PrunedKeptTotal
New98712999
Fresh71219
Picked235
Done055
Total996321028
Accuracy
100.0%
Counts
1028 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.5%
(/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y)
60.2%
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
56.4%
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
✓66.7%
(/.f64 (sinh.f64 y) y)
60.9%
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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)))))))))))
49.5%
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64))
32.4%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
61.8%
(+.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))))))))
61.8%
(+.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))))))))
59.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
59.5%
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
40.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) x)))))
✓39.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
40.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))))))
✓66.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
32.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
50.8%
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
51.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))))
51.9%
(*.f64 (+.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)))))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
✓9.7%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓77.2%
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
10.7%
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
22.5%
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (*.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 y (*.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 y (*.f64 y (*.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))
62.5%
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y (*.f64 (*.f64 y (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (*.f64 y y))))) y))
38.5%
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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))
✓45.7%
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) y))
45.7%
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) y))
45.7%
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))))) y))
19.9%
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
9.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓54.3%
(cos.f64 x)
✓32.8%
#s(literal 1 binary64)
Compiler

Compiled 1604 to 636 computations (60.3% saved)

regimes141.0ms (1.3%)

Counts
49 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (*.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 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))))
(+.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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) 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))))))))
(+.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 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(*.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)))))))) y) y)
(/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y)
(/.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 #s(literal 1 binary64) (/.f64 (*.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))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.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))))))) y))) y))
(*.f64 (+.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)))))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y (*.f64 (*.f64 y (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (*.f64 y y))))) y))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (*.f64 y (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))))) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))) y) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (*.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 y (*.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 y (*.f64 y (*.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))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sinh.f64 y))))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

75.0ms
x
18.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
15.0ms
(cos.f64 x)
14.0ms
y
12.0ms
(/.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)

regimes73.0ms (0.7%)

Counts
47 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (*.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 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))))
(+.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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) 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))))))))
(+.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 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(*.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)))))))) y) y)
(/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y)
(/.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 #s(literal 1 binary64) (/.f64 (*.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))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.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))))))) y))) y))
(*.f64 (+.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)))))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y (*.f64 (*.f64 y (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (*.f64 y y))))) y))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (*.f64 y (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))))) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))) y) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (*.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 y (*.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 y (*.f64 y (*.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))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sinh.f64 y))))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
Calls

4 calls:

19.0ms
y
18.0ms
(/.f64 (sinh.f64 y) y)
14.0ms
x
13.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
89.6%2x
95.0%3y
90.1%2(cos.f64 x)
88.3%2(/.f64 (sinh.f64 y) y)
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes20.0ms (0.2%)

Counts
46 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (*.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 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))))
(+.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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) 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))))))))
(+.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 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(*.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)))))))) y) y)
(/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y)
(/.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 #s(literal 1 binary64) (/.f64 (*.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))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.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))))))) y))) y))
(*.f64 (+.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)))))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y (*.f64 (*.f64 y (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (*.f64 y y))))) y))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (*.f64 y (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))))) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))) y) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (*.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 y (*.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 y (*.f64 y (*.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))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sinh.f64 y))))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
Outputs
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
(*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
Calls

1 calls:

13.0ms
y
Results
AccuracySegmentsBranch
94.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes60.0ms (0.5%)

Counts
45 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (*.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 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))))
(+.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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) 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))))))))
(+.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 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(*.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)))))))) y) y)
(/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y)
(/.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 #s(literal 1 binary64) (/.f64 (*.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))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.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))))))) y))) y))
(*.f64 (+.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)))))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y (*.f64 (*.f64 y (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (*.f64 y y))))) y))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (*.f64 y (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))))) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))) y) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (*.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 y (*.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 y (*.f64 y (*.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))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sinh.f64 y))))
Outputs
(cos.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y))
Calls

4 calls:

14.0ms
(cos.f64 x)
14.0ms
x
13.0ms
y
13.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
87.9%2(/.f64 (sinh.f64 y) y)
77.0%2x
84.3%4(cos.f64 x)
87.9%2y
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes30.0ms (0.3%)

Counts
43 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (*.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 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))))
(+.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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) 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))))))))
(+.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 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(*.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)))))))) y) y)
(/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y)
(/.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 #s(literal 1 binary64) (/.f64 (*.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))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.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))))))) y))) y))
(*.f64 (+.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)))))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y (*.f64 (*.f64 y (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (*.f64 y y))))) y))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (*.f64 y (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))))) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))) y) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (*.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 y (*.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 y (*.f64 y (*.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))
(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)
Calls

2 calls:

13.0ms
y
11.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
87.9%2y
87.9%2(/.f64 (sinh.f64 y) y)
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts
41 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (*.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 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))))
(+.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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) 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))))))))
(+.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 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(*.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)))))))) y) y)
(/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y)
(/.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 #s(literal 1 binary64) (/.f64 (*.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))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.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))))))) y))) y))
(*.f64 (+.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)))))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y (*.f64 (*.f64 y (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (*.f64 y y))))) y))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (*.f64 y (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))))) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))) y) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (*.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 y (*.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 y (*.f64 y (*.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))
(cos.f64 x)
Outputs
(cos.f64 x)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 #s(literal 1/6 binary64) (*.f64 y y)))
Calls

1 calls:

13.0ms
y
Results
AccuracySegmentsBranch
89.4%4y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.3%)

Counts
40 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (*.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 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))))
(+.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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) 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))))))))
(+.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 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(*.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)))))))) y) y)
(/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y)
(/.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 #s(literal 1 binary64) (/.f64 (*.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))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.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))))))) y))) y))
(*.f64 (+.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)))))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y (*.f64 (*.f64 y (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (*.f64 y y))))) y))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (*.f64 y (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))))) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))) y) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (*.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 y (*.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 y (*.f64 y (*.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))
Outputs
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 #s(literal 1/6 binary64) (*.f64 y y)))
Calls

2 calls:

13.0ms
y
13.0ms
x
Results
AccuracySegmentsBranch
64.3%2x
68.2%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.3%)

Counts
38 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (*.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 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))))
(+.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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) 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))))))))
(+.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 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(*.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)))))))) y) y)
(/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y)
(/.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 #s(literal 1 binary64) (/.f64 (*.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))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.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))))))) y))) y))
(*.f64 (+.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)))))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y (*.f64 (*.f64 y (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (*.f64 y y))))) y))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) y) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))))))) 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 y (*.f64 y (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))))) y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)))) y) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))))))) y))
Outputs
(/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y)
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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)))))))))))
Calls

2 calls:

13.0ms
y
11.0ms
x
Results
AccuracySegmentsBranch
64.3%2x
62.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts
32 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (*.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 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))))
(+.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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) 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))))))))
(+.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 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(*.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)))))))) y) y)
(/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y)
(/.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 #s(literal 1 binary64) (/.f64 (*.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))))))))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.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))))))) y))) y))
(*.f64 (+.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)))))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (*.f64 y (*.f64 (*.f64 y (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (*.f64 y y))))) y))
Outputs
(/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
Calls

1 calls:

24.0ms
x
Results
AccuracySegmentsBranch
64.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

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

2 calls:

8.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
61.8%1y
63.7%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (*.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 (*.f64 y y) #s(literal 1/120 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))))
(+.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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))) x)))))
Outputs
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
Calls

2 calls:

14.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
60.2%1y
62.0%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.3%)

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

2 calls:

6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
59.5%1y
61.3%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
Outputs
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
56.4%1y
58.5%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
53.1%3y
53.6%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) y)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(+.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 -1/2 binary64) (*.f64 x x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
51.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

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

3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
52.8%3y
40.5%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
39.2%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
y
1.0ms
x
Results
AccuracySegmentsBranch
32.8%1x
32.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch34.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
5.928627432286163e+147
2.0167911786392328e+152
17.0ms
9.47219989508675e-5
0.39096584787539185
Results
22.0ms256×0valid
Compiler

Compiled 462 to 346 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 8.0ms (56.1% of total)
ival-div: 2.0ms (14% of total)
ival-mult: 2.0ms (14% of total)
ival-sinh: 2.0ms (14% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
7.589767521400758e+152
1.5138103758389091e+156
15.0ms
9.47219989508675e-5
0.39096584787539185
Results
21.0ms256×0valid
Compiler

Compiled 366 to 282 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 6.0ms (50.1% of total)
ival-div: 2.0ms (16.7% of total)
ival-mult: 2.0ms (16.7% of total)
ival-sinh: 2.0ms (16.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
9.47219989508675e-5
0.39096584787539185
Results
12.0ms128×0valid
Compiler

Compiled 126 to 98 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (36.6% of total)
ival-mult: 3.0ms (36.6% of total)
ival-div: 1.0ms (12.2% of total)
ival-sinh: 1.0ms (12.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0000000014953763
1.025671129436435
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch30.0ms (0.3%)

Algorithm
3×binary-search
Stop Event
1×predicate-same
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
4.0ms
1.0360442173328315e+260
2.0077440810719758e+260
8.0ms
2.4266917132088752e+66
8.207335485932966e+77
15.0ms
9.47219989508675e-5
0.39096584787539185
Results
19.0ms240×0valid
Compiler

Compiled 1028 to 498 computations (51.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 5.0ms (38.4% of total)
ival-div: 3.0ms (23.1% of total)
ival-mult: 2.0ms (15.4% of total)
ival-sinh: 2.0ms (15.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
2.0ms
1.0360442173328315e+260
2.0077440810719758e+260
19.0ms
2.4266917132088752e+66
8.207335485932966e+77
Results
14.0ms176×0valid
Compiler

Compiled 960 to 480 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 4.0ms (51.2% of total)
ival-div: 1.0ms (12.8% of total)
ival-mult: 1.0ms (12.8% of total)
ival-sinh: 1.0ms (12.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.5451142523905024e+289
3.471461584006338e+289
Results
9.0ms80×0valid
Compiler

Compiled 324 to 210 computations (35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (64.5% of total)
ival-div: 1.0ms (21.5% of total)
ival-mult: 1.0ms (21.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.5451142523905024e+289
3.471461584006338e+289
Results
7.0ms80×0valid
Compiler

Compiled 184 to 130 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (66.6% of total)
ival-div: 1.0ms (22.2% of total)
ival-mult: 1.0ms (22.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.5451142523905024e+289
3.471461584006338e+289
Results
7.0ms80×0valid
Compiler

Compiled 164 to 115 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (66.6% of total)
ival-div: 1.0ms (22.2% of total)
ival-mult: 1.0ms (22.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
26.0ms
1.5451142523905024e+289
3.471461584006338e+289
Results
23.0ms80×0valid
Compiler

Compiled 154 to 110 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-cos: 19.0ms (91.8% of total)
ival-div: 1.0ms (4.8% of total)
ival-mult: 1.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.5451142523905024e+289
3.471461584006338e+289
Results
7.0ms80×0valid
Compiler

Compiled 134 to 100 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cos: 3.0ms (67.6% of total)
ival-div: 1.0ms (22.5% of total)
ival-mult: 1.0ms (22.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sinh: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.9680177655782202e+236
7.796238127088273e+237
Results
9.0ms112×0valid
Compiler

Compiled 168 to 122 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 4.0ms (65.5% 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)

bsearch33.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.5451142523905024e+289
3.471461584006338e+289
17.0ms
2.069701625177075e+92
2.4571876185512953e+98
Results
23.0ms224×0valid
Compiler

Compiled 312 to 224 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 12.0ms (69.8% of total)
ival-div: 2.0ms (11.6% of total)
ival-mult: 2.0ms (11.6% of total)
ival-sinh: 1.0ms (5.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.9680177655782202e+236
7.796238127088273e+237
Results
9.0ms112×0valid
Compiler

Compiled 140 to 108 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 4.0ms (64.9% of total)
ival-div: 1.0ms (16.2% of total)
ival-mult: 1.0ms (16.2% of total)
ival-sinh: 1.0ms (16.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.3096763756484278e+135
1.4599297279849748e+136
15.0ms
3298117709.0384674
34292143348773.453
Results
18.0ms224×0valid
Compiler

Compiled 206 to 162 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 6.0ms (51.1% of total)
ival-div: 2.0ms (17% of total)
ival-mult: 2.0ms (17% of total)
ival-sinh: 2.0ms (17% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
3298117709.0384674
34292143348773.453
Results
11.0ms128×0valid
Compiler

Compiled 110 to 90 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 4.0ms (54.2% of total)
ival-div: 1.0ms (13.6% of total)
ival-mult: 1.0ms (13.6% of total)
ival-sinh: 1.0ms (13.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify26.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
98×*-commutative_binary64
60×+-commutative_binary64
30×sub-neg_binary64
24×neg-sub0_binary64
24×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132551
1211551
2238551
3261551
4283551
5298551
6305551
7308551
8309551
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 1152921504606847/72057594037927936 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (if (<=.f64 y #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))))
(if (<=.f64 y #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (if (<=.f64 y #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))))
(if (<=.f64 y #s(literal 8854437155380585/18446744073709551616 binary64)) (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
(if (<=.f64 (/.f64 (sinh.f64 y) y) #s(literal 2296835809958953/2251799813685248 binary64)) (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 3504881374004815/9223372036854775808 binary64)) (cos.f64 x) (if (<=.f64 y #s(literal 1999999999999999853079562352962397847017606430398935774525292839560724611072 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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)) (if (<=.f64 y #s(literal 200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 #s(literal 1/6 binary64) (*.f64 y y))))))
(if (<=.f64 y #s(literal 6599999999999999982178924877544961724540834306966869413948711438674558976 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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)) (if (<=.f64 y #s(literal 200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 #s(literal 1/6 binary64) (*.f64 y y)))))
(if (<=.f64 x #s(literal 27999999999999999131706059342258573964821913885301890871243102882342268979758326642483530939630985018784996697629145376786099149064068845644184505435156471301343361649524718592015498857558061309487392385697714564773847361769664204559923650253800917796908684413180676168724873429355319001088 binary64)) (/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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))))))))))))
(if (<=.f64 x #s(literal 27999999999999999131706059342258573964821913885301890871243102882342268979758326642483530939630985018784996697629145376786099149064068845644184505435156471301343361649524718592015498857558061309487392385697714564773847361769664204559923650253800917796908684413180676168724873429355319001088 binary64)) (/.f64 (*.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 y (*.f64 y #s(literal -1/5040 binary64)))))))))) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 27999999999999999131706059342258573964821913885301890871243102882342268979758326642483530939630985018784996697629145376786099149064068845644184505435156471301343361649524718592015498857558061309487392385697714564773847361769664204559923650253800917796908684413180676168724873429355319001088 binary64)) (+.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)))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 27999999999999999131706059342258573964821913885301890871243102882342268979758326642483530939630985018784996697629145376786099149064068845644184505435156471301343361649524718592015498857558061309487392385697714564773847361769664204559923650253800917796908684413180676168724873429355319001088 binary64)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 27999999999999999131706059342258573964821913885301890871243102882342268979758326642483530939630985018784996697629145376786099149064068845644184505435156471301343361649524718592015498857558061309487392385697714564773847361769664204559923650253800917796908684413180676168724873429355319001088 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 1450000000000000048850588923774316132133826291364261007623221964605589023898344702589337318633664212749990433910514283915649159562177814030376567706024049085855848822744001345142252934318449612802821523684691192508055760144356771375349760 binary64)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (if (<=.f64 x #s(literal 27999999999999999131706059342258573964821913885301890871243102882342268979758326642483530939630985018784996697629145376786099149064068845644184505435156471301343361649524718592015498857558061309487392385697714564773847361769664204559923650253800917796908684413180676168724873429355319001088 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 1450000000000000048850588923774316132133826291364261007623221964605589023898344702589337318633664212749990433910514283915649159562177814030376567706024049085855848822744001345142252934318449612802821523684691192508055760144356771375349760 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(if (<=.f64 y #s(literal 3400000000 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 14000000000000001079521845589727026623238777209757413576301778246636101175941277507371447702830070488690177854213593642717840142338359296 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
#s(literal 1 binary64)
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 1152921504606847/72057594037927936 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (if (<=.f64 y #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))))
(if (<=.f64 y #s(literal 1152921504606847/72057594037927936 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (if (<=.f64 y #s(literal 200000000000000009250216271808398948002452544790145376983777454402545107507559301846766839764406850263979324900979381181838795379032883593269504018219008 binary64)) (*.f64 (/.f64 (sinh.f64 y) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))))
(if (<=.f64 y #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (if (<=.f64 y #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))))
(if (<=.f64 y #s(literal 607985949695017/4503599627370496 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (if (<=.f64 y #s(literal 32999999999999998688707305198336525715844523895604285085707407853130235399809547203500747766421637628106726622128637945786516886677267140370383404894519296 binary64)) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))))
(if (<=.f64 y #s(literal 8854437155380585/18446744073709551616 binary64)) (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)))
(if (<=.f64 y #s(literal 8854437155380585/18446744073709551616 binary64)) (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)))
(if (<=.f64 (/.f64 (sinh.f64 y) y) #s(literal 2296835809958953/2251799813685248 binary64)) (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 3504881374004815/9223372036854775808 binary64)) (cos.f64 x) (if (<=.f64 y #s(literal 1999999999999999853079562352962397847017606430398935774525292839560724611072 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))))) (*.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)) (if (<=.f64 y #s(literal 200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 #s(literal 1/6 binary64) (*.f64 y y))))))
(if (<=.f64 y #s(literal 3504881374004815/9223372036854775808 binary64)) (cos.f64 x) (if (<=.f64 y #s(literal 1999999999999999853079562352962397847017606430398935774525292839560724611072 binary64)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) (-.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) (if (<=.f64 y #s(literal 200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
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(if (<=.f64 y #s(literal 6599999999999999982178924877544961724540834306966869413948711438674558976 binary64)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.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 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) (-.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) (if (<=.f64 y #s(literal 200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.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 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
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(if (<=.f64 y #s(literal 10500000000 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
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#s(literal 1 binary64)

soundness2.8s (25.7%)

Rules
5410×*-lowering-*.f32
5410×*-lowering-*.f64
4322×*-lowering-*.f32
4322×*-lowering-*.f64
4180×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01382332
14052231
212042192
337842178
081252178
01372547
14562390
215662288
367012283
080922283
045260
1289185
22400182
08460182
01562080
15411942
221261815
366051795
087371795
01975
18771
269671
3770371
0860171
084675
1255649
2897610
33096603
46384603
08341603
035248
1226218
22049212
09106212
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
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1541 to 810 computations (47.4% saved)

preprocess99.0ms (0.9%)

Remove

(abs y)

(abs x)

Compiler

Compiled 1232 to 320 computations (74% saved)

end0.0ms (0%)

Profiling

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