Hyperbolic sine

Time bar (total: 9.3s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 10 to 8 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

sample1.7s (17.9%)

Results
1.2s3945×1valid
249.0ms4311×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-exp: 763.0ms (67.6% of total)
ival-div: 166.0ms (14.7% of total)
ival-sub: 75.0ms (6.6% of total)
ival-neg: 65.0ms (5.8% of total)
backward-pass: 48.0ms (4.2% of total)
const: 12.0ms (1.1% of total)
Bogosity

preprocess65.0ms (0.7%)

Algorithm
egg-herbie
Rules
344×fmsub-define
342×fnmsub-define
340×fnmadd-define
318×fnmadd-define
286×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
14024
29224
320124
447624
596424
6125024
7134924
078
1188
2368
3668
41198
52098
63618
76218
89888
911588
1011768
011768
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (- (exp x) (exp (neg x))) 2)
Outputs
(/ (- (exp x) (exp (neg x))) 2)
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
Call 2
Inputs
(/ (- (exp x) (exp (neg x))) 2)
(/ (- (exp (neg x)) (exp (neg (neg x)))) 2)
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) 2))
Outputs
(/ (- (exp x) (exp (neg x))) 2)
(fnmsub (exp x) -1/2 (/ 1/2 (exp x)))
(/ (- (exp (neg x)) (exp (neg (neg x)))) 2)
(fnmsub (exp x) 1/2 (/ -1/2 (exp x)))
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) 2))
(fnmsub (exp x) -1/2 (/ 1/2 (exp x)))
Symmetry

(negabs x)

explain139.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1310-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-x
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
Results
81.0ms260×1valid
19.0ms252×0valid
Compiler

Compiled 59 to 23 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-exp: 48.0ms (69.9% of total)
ival-div: 6.0ms (8.7% of total)
ival-neg: 5.0ms (7.3% of total)
ival-sub: 5.0ms (7.3% of total)
backward-pass: 4.0ms (5.8% of total)
const: 1.0ms (1.5% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify34.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(exp.f64 (neg.f64 x))
cost-diff-64
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff-64
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
cost-diff0
(exp.f64 x)
Rules
318×fnmadd-define
286×fmsub-define
284×fnmsub-define
276×fma-lowering-fma.f32
276×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
11823
23623
36623
411923
520923
636123
762123
898823
9115823
10117623
0117623
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- (exp x) (exp (neg x))) 2)
(- (exp x) (exp (neg x)))
(exp x)
x
(exp (neg x))
(neg x)
2
Outputs
(/ (- (exp x) (exp (neg x))) 2)
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(exp x)
(exp.f64 x)
x
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
2
#s(literal 2 binary64)

localize75.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(exp.f64 (neg.f64 x))
accuracy100.0%
(exp.f64 x)
accuracy52.4%
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
57.0ms130×1valid
8.0ms126×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-exp: 37.0ms (78.4% of total)
ival-div: 4.0ms (8.5% of total)
ival-neg: 2.0ms (4.2% of total)
ival-sub: 2.0ms (4.2% of total)
backward-pass: 2.0ms (4.2% of total)
const: 0.0ms (0% of total)

series3.0ms (0%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (exp x)>
#<alt (/ (- (exp x) (exp (neg x))) 2)>
#<alt (- (exp x) (exp (neg x)))>
#<alt (exp (neg x))>
#<alt (neg x)>
Outputs
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ (- (exp x) (exp (neg x))) 2)
0.0ms
x
@0
(/ (- (exp x) (exp (neg x))) 2)
0.0ms
x
@inf
(/ (- (exp x) (exp (neg x))) 2)
0.0ms
x
@inf
(neg x)
0.0ms
x
@0
(exp x)

rewrite165.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1610×/-lowering-/.f32
1610×/-lowering-/.f64
1604×*-lowering-*.f32
1604×*-lowering-*.f64
580×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
14213
230113
0327213
Stop Event
iter limit
iter limit
node limit
Counts
5 → 260
Calls
Call 1
Inputs
(exp x)
(/ (- (exp x) (exp (neg x))) 2)
(- (exp x) (exp (neg x)))
(exp (neg x))
(neg x)
Outputs
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (sinh.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))) #s(literal 1/4 binary64))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(sinh.f64 x)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))))
(/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (neg.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (+.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 8 binary64))) (+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))))))))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (exp.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) (sinh.f64 x)) (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)))
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(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 (cosh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(*.f64 #s(literal 4 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (-.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))

simplify193.0ms (2.1%)

Algorithm
egg-herbie
Rules
2098×+-lowering-+.f64
2098×+-lowering-+.f32
2008×*-lowering-*.f32
2008×*-lowering-*.f64
1618×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074321
1222288
2670285
31946285
42964285
55512285
66306285
08211285
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))))))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval31.0ms (0.3%)

Compiler

Compiled 5672 to 874 computations (84.6% saved)

prune39.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3146320
Fresh000
Picked101
Done000
Total3156321
Accuracy
100.0%
Counts
321 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.2%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))
90.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
89.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
82.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
100.0%
(sinh.f64 x)
53.5%
x
Compiler

Compiled 142 to 92 computations (35.2% saved)

simplify156.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))
cost-diff0
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))))
cost-diff128
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
cost-diff0
(sinh.f64 x)
Rules
2760×*-lowering-*.f32
2760×*-lowering-*.f64
1504×fma-define
1164×fma-lowering-fma.f32
1164×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026150
186133
2234130
3640130
41076130
51508130
62347130
75205130
08203130
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(sinh x)
x
x
(* x (+ 1 (* x (* x 1/6))))
x
(+ 1 (* x (* x 1/6)))
1
(* x (* x 1/6))
(* x 1/6)
1/6
(* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))))
x
(+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120)))))
1
(* x (* x (+ 1/6 (* (* x x) 1/120))))
(* x (+ 1/6 (* (* x x) 1/120)))
(+ 1/6 (* (* x x) 1/120))
1/6
(* (* x x) 1/120)
(* x x)
1/120
(/ (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) 2)
(* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60))))))
x
(+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))
2
(* (* x x) (+ 1/3 (* x (* x 1/60))))
(* x x)
(+ 1/3 (* x (* x 1/60)))
1/3
(* x (* x 1/60))
(* x 1/60)
1/60
Outputs
(sinh x)
(sinh.f64 x)
x
x
(* x (+ 1 (* x (* x 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
x
(+ 1 (* x (* x 1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
1
#s(literal 1 binary64)
(* x (* x 1/6))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
x
(+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
1
#s(literal 1 binary64)
(* x (* x (+ 1/6 (* (* x x) 1/120))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* x (+ 1/6 (* (* x x) 1/120)))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(+ 1/6 (* (* x x) 1/120))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* x x) 1/120)
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* x x)
(*.f64 x x)
1/120
#s(literal 1/120 binary64)
(/ (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) 2)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
x
(+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
2
#s(literal 2 binary64)
(* (* x x) (+ 1/3 (* x (* x 1/60))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* x x)
(*.f64 x x)
(+ 1/3 (* x (* x 1/60)))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
1/3
#s(literal 1/3 binary64)
(* x (* x 1/60))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* x 1/60)
(*.f64 x #s(literal 1/60 binary64))
1/60
#s(literal 1/60 binary64)

localize126.0ms (1.4%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))))
accuracy99.9%
(*.f64 x #s(literal 1/60 binary64))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/60 binary64)))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
accuracy99.4%
(*.f64 x #s(literal 1/6 binary64))
accuracy100.0%
(sinh.f64 x)
Results
86.0ms256×0valid
Compiler

Compiled 178 to 27 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 22.0ms (43.2% of total)
...c/correct-round.rkt:119:19: 15.0ms (29.5% of total)
ival-add: 10.0ms (19.6% of total)
ival-div: 2.0ms (3.9% of total)
ival-sinh: 2.0ms (3.9% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (sinh x)>
#<alt (* x (+ 1 (* x (* x 1/6))))>
#<alt (+ 1 (* x (* x 1/6)))>
#<alt (* x (* x 1/6))>
#<alt (* x 1/6)>
#<alt (* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))))>
#<alt (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120)))))>
#<alt (* x (* x (+ 1/6 (* (* x x) 1/120))))>
#<alt (* x (+ 1/6 (* (* x x) 1/120)))>
#<alt (/ (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) 2)>
#<alt (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60))))))>
#<alt (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))>
#<alt (* (* x x) (+ 1/3 (* x (* x 1/60))))>
#<alt (* (* x x) 1/120)>
#<alt (* x (* x 1/60))>
#<alt (* x 1/60)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* 1/60 (pow x 5))>
#<alt (* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/60 (pow x 5))>
#<alt (* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
Calls

48 calls:

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

rewrite389.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
3588×*-lowering-*.f32
3588×*-lowering-*.f64
3262×/-lowering-/.f32
3262×/-lowering-/.f64
1926×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026123
1161108
21318106
08260106
Stop Event
iter limit
node limit
Counts
16 → 457
Calls
Call 1
Inputs
(sinh x)
(* x (+ 1 (* x (* x 1/6))))
(+ 1 (* x (* x 1/6)))
(* x (* x 1/6))
(* x 1/6)
(* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))))
(+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120)))))
(* x (* x (+ 1/6 (* (* x x) 1/120))))
(* x (+ 1/6 (* (* x x) 1/120)))
(/ (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) 2)
(* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60))))))
(+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))
(* (* x x) (+ 1/3 (* x (* x 1/60))))
(* (* x x) 1/120)
(* x (* x 1/60))
(* x 1/60)
Outputs
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(+.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x)
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(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) #s(literal -2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))))
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/60 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/60 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/60 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3600 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))) (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3600 binary64))) (*.f64 x x))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3600 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3600 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3600 binary64))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) x)
(*.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3600 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3600 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1/60 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/60 binary64)) x)
(*.f64 x #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) x)

simplify283.0ms (3%)

Algorithm
egg-herbie
Rules
4320×*-lowering-*.f32
4320×*-lowering-*.f64
2104×+-lowering-+.f64
2104×+-lowering-+.f32
1510×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0891512
12981260
28621204
337401198
471151198
080011198
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* 1/120 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/120 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* 1/120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* 1/120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* 1/120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* 1/120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* 1/120 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/120 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(* 1/60 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(* 1/60 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* 1/60 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* 1/60 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))

eval81.0ms (0.9%)

Compiler

Compiled 20147 to 1741 computations (91.4% saved)

prune85.0ms (0.9%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New63613649
Fresh011
Picked235
Done000
Total63817655
Accuracy
100.0%
Counts
655 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
57.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
89.2%
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
89.2%
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
52.2%
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))))
57.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
89.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x))))
90.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
90.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
89.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
82.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
41.2%
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
41.1%
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
34.6%
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
34.6%
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
100.0%
(sinh.f64 x)
53.5%
x
Compiler

Compiled 719 to 334 computations (53.5% saved)

simplify257.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
cost-diff128
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
cost-diff128
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
cost-diff128
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
cost-diff0
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
Rules
3520×*-lowering-*.f32
3520×*-lowering-*.f64
2000×+-lowering-+.f64
2000×+-lowering-+.f32
1720×fma-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
043367
1148309
2550302
31649296
42907296
54378295
66758295
77816295
08031295
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))))
1
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))
(* x x)
(+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))
1/6
(* (* x x) (+ 1/120 (* x (* x 1/5040))))
(+ 1/120 (* x (* x 1/5040)))
1/120
(* x (* x 1/5040))
(* x 1/5040)
1/5040
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(* x (* (* x x) (+ 1/6 (* (* x x) 1/120))))
x
(* (* x x) (+ 1/6 (* (* x x) 1/120)))
(* x x)
(+ 1/6 (* (* x x) 1/120))
1/6
(* (* x x) 1/120)
1/120
(/ x (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))))
x
(/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))))
2
(+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))
(* (* x x) (+ 1/3 (* (* x x) 1/60)))
(* x x)
(+ 1/3 (* (* x x) 1/60))
1/3
(* (* x x) 1/60)
1/60
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))
x
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))
1
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))
(* x x)
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))
1/216
(* (* x (* x x)) (* (* x (* x x)) 1/1728000))
(* x (* x x))
(* (* x (* x x)) 1/1728000)
1/1728000
(+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))
1/36
(* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))
(* (* x x) 1/120)
1/120
(+ (* (* x x) 1/120) -1/6)
-1/6
Outputs
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ 1/120 (* x (* x 1/5040))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
(+ 1/120 (* x (* x 1/5040)))
(+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))
1/120
#s(literal 1/120 binary64)
(* x (* x 1/5040))
(*.f64 x (*.f64 x #s(literal 1/5040 binary64)))
(* x 1/5040)
(*.f64 x #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)
(* 1/6 (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(* x (* (* x x) (+ 1/6 (* (* x x) 1/120))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))
x
(* (* x x) (+ 1/6 (* (* x x) 1/120)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(* x x)
(*.f64 x x)
(+ 1/6 (* (* x x) 1/120))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
1/6
#s(literal 1/6 binary64)
(* (* x x) 1/120)
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
1/120
#s(literal 1/120 binary64)
(/ x (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))
x
(/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
2
#s(literal 2 binary64)
(+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(* (* x x) (+ 1/3 (* (* x x) 1/60)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* x x)
(*.f64 x x)
(+ 1/3 (* (* x x) 1/60))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
1/3
#s(literal 1/3 binary64)
(* (* x x) 1/60)
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
1/60
#s(literal 1/60 binary64)
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))))))
x
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))))))
1
#s(literal 1 binary64)
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))))
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))))))
(* x x)
(*.f64 x x)
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))
(+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))))
1/216
#s(literal 1/216 binary64)
(* (* x (* x x)) (* (* x (* x x)) 1/1728000))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* (* x (* x x)) 1/1728000)
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
1/1728000
#s(literal 1/1728000 binary64)
(+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))
1/36
#s(literal 1/36 binary64)
(* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))
(* (* x x) 1/120)
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
1/120
#s(literal 1/120 binary64)
(+ (* (* x x) 1/120) -1/6)
(+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)

localize315.0ms (3.4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy99.6%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
accuracy66.6%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
accuracy100.0%
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
accuracy99.8%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
accuracy99.9%
(*.f64 x (*.f64 x #s(literal 1/5040 binary64)))
accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
Results
190.0ms256×0valid
Compiler

Compiled 460 to 44 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
...c/correct-round.rkt:119:19: 48.0ms (37.2% of total)
ival-add: 41.0ms (31.8% of total)
ival-mult: 31.0ms (24% of total)
ival-div: 8.0ms (6.2% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))))>
#<alt (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))))>
#<alt (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))>
#<alt (* x x)>
#<alt (* 1/6 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x (* (* x x) (+ 1/6 (* (* x x) 1/120))))>
#<alt (* (* x x) (+ 1/6 (* (* x x) 1/120)))>
#<alt (+ 1/6 (* (* x x) 1/120))>
#<alt (/ x (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))))>
#<alt (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))))>
#<alt (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))>
#<alt (* (* x x) (+ 1/3 (* (* x x) 1/60)))>
#<alt (* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))>
#<alt (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))>
#<alt (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))>
#<alt (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))>
#<alt (* (* x x) (+ 1/120 (* x (* x 1/5040))))>
#<alt (* x (* x 1/5040))>
#<alt (* (* x x) 1/120)>
#<alt (* (* x x) 1/60)>
#<alt (* (* x (* x x)) 1/1728000)>
#<alt (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (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 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (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 3)>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -1/540 (pow x 2)))) 1/6)))>
#<alt (/ 120 (pow x 4))>
#<alt (/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 120 (/ 33600 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 120 (/ 33600 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 384000 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 120 (/ 33600 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 120 (/ 33600 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 384000 (/ 1 (pow x 6))))) (pow x 4))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt 1/36>
#<alt (+ 1/36 (* -1/720 (pow x 2)))>
#<alt (+ 1/36 (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720)))>
#<alt (+ 1/36 (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720)))>
#<alt (* 1/14400 (pow x 4))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* 1/14400 (pow x 4))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))>
#<alt (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))>
#<alt (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))>
#<alt (* 1/14400 (pow x 4))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* 1/14400 (pow x 4))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))
1.0ms
x
@inf
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))
1.0ms
x
@0
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))
1.0ms
x
@inf
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))))
0.0ms
x
@0
(* 1/6 (* x (* x x)))

rewrite484.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
3534×fma-lowering-fma.f32
3534×fma-lowering-fma.f64
3046×*-lowering-*.f32
3046×*-lowering-*.f64
1976×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043248
1292187
22737183
08191183
Stop Event
iter limit
node limit
Counts
23 → 592
Calls
Call 1
Inputs
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))))
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))))
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))
(* x x)
(* 1/6 (* x (* x x)))
(* x (* x x))
(* x (* (* x x) (+ 1/6 (* (* x x) 1/120))))
(* (* x x) (+ 1/6 (* (* x x) 1/120)))
(+ 1/6 (* (* x x) 1/120))
(/ x (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))))
(/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))))
(+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))
(* (* x x) (+ 1/3 (* (* x x) 1/60)))
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))
(+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))
(* (* x x) (+ 1/120 (* x (* x 1/5040))))
(* x (* x 1/5040))
(* (* x x) 1/120)
(* (* x x) 1/60)
(* (* x (* x x)) 1/1728000)
(* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))
Outputs
(+.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(fma.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) x)
(fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x x)
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) x)
(fma.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x x) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64)))))
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(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (neg.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1/120 binary64) (neg.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal -1/720 binary64)) (*.f64 x x) (+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/14400 binary64) (neg.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) x) (*.f64 x #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) x) (*.f64 x #s(literal 1/120 binary64)) (neg.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/120 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/120 binary64)) (*.f64 x x) (neg.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x #s(literal 1/120 binary64)) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) (*.f64 x #s(literal 1/120 binary64)) (+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)) #s(literal 1/120 binary64) (+.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64))) (+.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (+.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 x (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal -1/720 binary64))))
(*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal -1/720 binary64)))
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
(*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal -1/720 binary64)) (*.f64 x x))
(*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) (*.f64 x #s(literal 1/120 binary64)))
(*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)) #s(literal 1/120 binary64))

simplify313.0ms (3.4%)

Algorithm
egg-herbie
Rules
3432×*-lowering-*.f32
3432×*-lowering-*.f64
2246×+-lowering-+.f64
2246×+-lowering-+.f32
1710×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01502388
14591995
213341973
340351923
479301923
083001923
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (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 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -1/540 (pow x 2)))) 1/6)))
(/ 120 (pow x 4))
(/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 120 (/ 33600 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 120 (/ 33600 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 384000 (/ 1 (pow x 6))))) (pow x 4))
(/ 120 (pow x 4))
(/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 120 (/ 33600 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 120 (/ 33600 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 384000 (/ 1 (pow x 6))))) (pow x 4))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/36
(+ 1/36 (* -1/720 (pow x 2)))
(+ 1/36 (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720)))
(+ 1/36 (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720)))
(* 1/14400 (pow x 4))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))
(* 1/14400 (pow x 4))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(* 1/14400 (pow x 4))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* 1/14400 (pow x 4))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* 1/5040 (pow x 6))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
(* 1/5040 (pow x 6))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* 1/5040 (pow x 6))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/5040 (pow x 6))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x))) (pow.f64 x #s(literal 6 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 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(* 1/120 (pow x 5))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/120 (pow x 5))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* 1/120 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* 1/120 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(* 1/120 (pow x 5))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/1728000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* -1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/720 binary64)))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))
(* 1/14400 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))
(* 1/14400 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))

eval373.0ms (4%)

Compiler

Compiled 34308 to 2753 computations (92% saved)

prune111.0ms (1.2%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New1138151153
Fresh549
Picked415
Done033
Total1147231170
Accuracy
100.0%
Counts
1170 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
55.7%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
40.9%
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
41.1%
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
41.1%
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
89.2%
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
90.8%
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x)
41.2%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))
34.6%
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
34.6%
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
92.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/36 binary64))))
90.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x)))))
90.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
90.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))))
82.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
41.2%
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x))
4.9%
(*.f64 x (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 #s(literal 1/5159780352000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64))))))))
41.1%
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
41.1%
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
41.1%
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
34.6%
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
100.0%
(sinh.f64 x)
53.5%
x
Compiler

Compiled 931 to 443 computations (52.4% saved)

simplify423.0ms (4.5%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
cost-diff0
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
cost-diff0
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
cost-diff128
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
cost-diff128
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
cost-diff0
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))
cost-diff128
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/36 binary64))
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/36 binary64)))
cost-diff128
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/36 binary64))))
Rules
7302×fma-define
7092×fma-lowering-fma.f32
7092×fma-lowering-fma.f64
2112×*-lowering-*.f32
2112×*-lowering-*.f64
Iterations

Useful iterations: 12 (0.0ms)

IterNodesCost
037264
1127221
2390211
31178205
42126205
53169203
64441202
75628202
86035202
96090202
106090202
116102202
126102199
09249199
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)))
x
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36))
1
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))
(* x x)
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))
1/216
(* (* x (* x x)) (* (* x (* x x)) 1/1728000))
(* x (* x x))
(* (* x (* x x)) 1/1728000)
1/1728000
1/36
(* (* x x) (* x 1/6))
(* x x)
x
(* x 1/6)
1/6
(* x (* (* x x) (* x (* x 1/120))))
x
(* (* x x) (* x (* x 1/120)))
(* x x)
(* x (* x 1/120))
(* x 1/120)
1/120
(/ x (/ 2 (* x (* x (* (* x x) 1/60)))))
x
(/ 2 (* x (* x (* (* x x) 1/60))))
2
(* x (* x (* (* x x) 1/60)))
(* x (* (* x x) 1/60))
(* (* x x) 1/60)
(* x x)
1/60
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))
x
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))
1
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))
(* x x)
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))
1/6
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(+ 1/120 (* (* x x) 1/5040))
1/120
(* (* x x) 1/5040)
1/5040
Outputs
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/48000 binary64)))))))
x
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/48000 binary64))))))
1
#s(literal 1 binary64)
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/48000 binary64)))))
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))
(+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))
1/216
#s(literal 1/216 binary64)
(* (* x (* x x)) (* (* x (* x x)) 1/1728000))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* (* x (* x x)) 1/1728000)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
1/1728000
#s(literal 1/1728000 binary64)
1/36
#s(literal 1/36 binary64)
(* (* x x) (* x 1/6))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
x
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* x (* (* x x) (* x (* x 1/120))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 120 binary64))
x
(* (* x x) (* x (* x 1/120)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 120 binary64))
(* x x)
(*.f64 x x)
(* x (* x 1/120))
(/.f64 (*.f64 x x) #s(literal 120 binary64))
(* x 1/120)
(/.f64 x #s(literal 120 binary64))
1/120
#s(literal 1/120 binary64)
(/ x (/ 2 (* x (* x (* (* x x) 1/60)))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 120 binary64))
x
(/ 2 (* x (* x (* (* x x) 1/60))))
(/.f64 (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x x))) x)
2
#s(literal 2 binary64)
(* x (* x (* (* x x) 1/60)))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(* x (* (* x x) 1/60))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(* (* x x) 1/60)
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* x x)
(*.f64 x x)
1/60
#s(literal 1/60 binary64)
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* x x)
(*.f64 x x)
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(+ 1/120 (* (* x x) 1/5040))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
1/120
#s(literal 1/120 binary64)
(* (* x x) 1/5040)
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)

localize169.0ms (1.8%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
accuracy99.2%
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
accuracy99.9%
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
accuracy99.7%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))
accuracy99.9%
(*.f64 x #s(literal 1/120 binary64))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
accuracy99.4%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))
accuracy99.7%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/36 binary64))
accuracy99.6%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
Results
114.0ms256×0valid
Compiler

Compiled 338 to 38 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 34.0ms (47.7% of total)
...c/correct-round.rkt:119:19: 26.0ms (36.5% of total)
ival-add: 6.0ms (8.4% of total)
ival-div: 5.0ms (7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)))>
#<alt (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36))>
#<alt (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)>
#<alt (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))>
#<alt (* (* x x) (* x 1/6))>
#<alt (* x x)>
#<alt (* x 1/6)>
#<alt (* x (* (* x x) (* x (* x 1/120))))>
#<alt (* (* x x) (* x (* x 1/120)))>
#<alt (* x (* x 1/120))>
#<alt (/ x (/ 2 (* x (* x (* (* x x) 1/60)))))>
#<alt (/ 2 (* x (* x (* (* x x) 1/60))))>
#<alt (* x (* x (* (* x x) 1/60)))>
#<alt (* x (* (* x x) 1/60))>
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))>
#<alt (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))>
#<alt (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))>
#<alt (* (* x (* x x)) 1/1728000)>
#<alt (* x (* x x))>
#<alt (* x 1/120)>
#<alt (* (* x x) 1/60)>
#<alt (* (* x x) 1/5040)>
#<alt (* (* x x) (+ 1/120 (* (* x x) 1/5040)))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))))>
#<alt (* 1/48000 (pow x 9))>
#<alt (* (pow x 9) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))>
#<alt (* (pow x 9) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))>
#<alt (* (pow x 9) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))>
#<alt (* 1/48000 (pow x 9))>
#<alt (* (pow x 9) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))>
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 6))) 1/48000)))>
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 6))) 1/48000)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))))>
#<alt (* 1/48000 (pow x 8))>
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))>
#<alt (* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))>
#<alt (* 1/48000 (pow x 8))>
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))>
#<alt (* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))>
#<alt (* 1/48000 (pow x 8))>
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))>
#<alt (* 1/48000 (pow x 8))>
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))>
#<alt (* 1/216 (pow x 2))>
#<alt (* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))>
#<alt (* 1/1728000 (pow x 8))>
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* 1/1728000 (pow x 8))>
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (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 (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (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 3)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
Calls

69 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)))
0.0ms
x
@0
(* x (* (* x x) (* x (* x 1/120))))
0.0ms
x
@inf
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)
0.0ms
x
@0
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)))
0.0ms
x
@0
(* (* x x) (* x (* x 1/120)))

rewrite357.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
3654×*-lowering-*.f32
3654×*-lowering-*.f64
2672×/-lowering-/.f32
2672×/-lowering-/.f64
2404×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037205
1213174
21704161
08469161
Stop Event
iter limit
node limit
Counts
23 → 428
Calls
Call 1
Inputs
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)))
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36))
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))
(* (* x x) (* x 1/6))
(* x x)
(* x 1/6)
(* x (* (* x x) (* x (* x 1/120))))
(* (* x x) (* x (* x 1/120)))
(* x (* x 1/120))
(/ x (/ 2 (* x (* x (* (* x x) 1/60)))))
(/ 2 (* x (* x (* (* x x) 1/60))))
(* x (* x (* (* x x) 1/60)))
(* x (* (* x x) 1/60))
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))
(* (* x (* x x)) 1/1728000)
(* x (* x x))
(* x 1/120)
(* (* x x) 1/60)
(* (* x x) 1/5040)
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
Outputs
(+.f64 x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))
(+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) x)
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(/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64))))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x)

simplify217.0ms (2.3%)

Algorithm
egg-herbie
Rules
2494×*-lowering-*.f32
2494×*-lowering-*.f64
1538×+-lowering-+.f64
1538×+-lowering-+.f32
1402×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141876
13471691
210001664
329301660
451841660
084401660
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))))
(* 1/48000 (pow x 9))
(* (pow x 9) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(* (pow x 9) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))
(* (pow x 9) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))
(* 1/48000 (pow x 9))
(* (pow x 9) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 6))) 1/48000)))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 6))) 1/48000)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))))
(* 1/48000 (pow x 8))
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))
(* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))
(* 1/48000 (pow x 8))
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))
(* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))
(* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))
(* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))
(* 1/48000 (pow x 8))
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(* 1/48000 (pow x 8))
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(* 1/216 (pow x 2))
(* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))
(* 1/1728000 (pow x 8))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* 1/1728000 (pow x 8))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(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 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (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 3)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
(* 1/48000 (pow x 9))
(*.f64 #s(literal 1/48000 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/48000 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(* (pow x 9) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/48000 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(* (pow x 9) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/48000 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(* 1/48000 (pow x 9))
(*.f64 #s(literal 1/48000 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/48000 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 6))) 1/48000)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/48000 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 6))) 1/48000)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/48000 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(* 1/48000 (pow x 8))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64)))
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))
(*.f64 (+.f64 #s(literal 1/48000 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/48000 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/48000 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(* 1/48000 (pow x 8))
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(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
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(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* 1/5040 (pow x 6))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/5040 (pow x 6))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* 1/5040 (pow x 6))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/5040 (pow x 6))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/1728000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(* 1/1728000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(* 1/1728000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(* 1/1728000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(* 1/1728000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(* 1/1728000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(* 1/1728000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(* 1/1728000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(* 1/1728000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(* 1/1728000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(* 1/1728000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(* 1/1728000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))

eval113.0ms (1.2%)

Compiler

Compiled 25377 to 2009 computations (92.1% saved)

prune137.0ms (1.5%)

Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New86818886
Fresh10414
Picked325
Done044
Total88128909
Accuracy
100.0%
Counts
909 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
26.0%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) (-.f64 x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))))))
53.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) #s(literal 1/1296 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (*.f64 (*.f64 x x) #s(literal 36 binary64)))))
41.1%
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x))
41.1%
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))
41.1%
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64))))
41.1%
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
92.6%
(+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) x)
41.2%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))
34.6%
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
41.1%
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)
41.1%
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
34.6%
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
34.6%
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
55.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64))))
53.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64))))
92.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)) x)))) #s(literal 1/36 binary64))))
92.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/1728000 binary64)))) #s(literal 1/36 binary64))))
92.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (/.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
92.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
82.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
44.4%
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64))))
42.6%
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
41.1%
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
34.6%
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
42.6%
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
100.0%
(sinh.f64 x)
53.5%
x
Compiler

Compiled 1913 to 571 computations (70.2% saved)

regimes51.0ms (0.5%)

Counts
53 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/1728000 binary64)))) #s(literal 1/36 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (/.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/36 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)) x)))) #s(literal 1/36 binary64))))
(+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) #s(literal 1/1296 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (*.f64 (*.f64 x x) #s(literal 36 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) (-.f64 x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 #s(literal 1/5159780352000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64))))))))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
Calls

3 calls:

17.0ms
x
15.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
12.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
100.0%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes23.0ms (0.2%)

Counts
51 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/1728000 binary64)))) #s(literal 1/36 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (/.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/36 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)) x)))) #s(literal 1/36 binary64))))
(+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) #s(literal 1/1296 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (*.f64 (*.f64 x x) #s(literal 36 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) (-.f64 x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 #s(literal 1/5159780352000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64))))))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64))))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
96.2%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes23.0ms (0.2%)

Counts
49 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/1728000 binary64)))) #s(literal 1/36 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (/.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/36 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)) x)))) #s(literal 1/36 binary64))))
(+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) #s(literal 1/1296 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (*.f64 (*.f64 x x) #s(literal 36 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) (-.f64 x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64))))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
94.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.2%)

Counts
44 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/1728000 binary64)))) #s(literal 1/36 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (/.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/36 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)) x)))) #s(literal 1/36 binary64))))
(+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
92.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
35 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x)
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64))))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
92.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
28 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
89.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
90.8%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
89.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
89.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
82.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
82.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
53.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch4.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
1.0ms
7.006301162573213e+43
2.167881680885435e+49
2.0ms
2926987151860039000.0
1.2939652568760803e+29
Results
2.0ms32×0valid
Compiler

Compiled 223 to 97 computations (56.5% saved)

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

bsearch2.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
7.006301162573213e+43
2.167881680885435e+49
Results
1.0ms16×0valid
Compiler

Compiled 85 to 43 computations (49.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch42.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
7.768394374322041e-5
22145.243490470817
Results
9.0ms144×0valid
Compiler

Compiled 301 to 163 computations (45.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (54.6% of total)
ival-sub: 1.0ms (18.2% of total)
ival-div: 1.0ms (18.2% of total)
ival-neg: 1.0ms (18.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
7.768394374322041e-5
22145.243490470817
Results
9.0ms144×0valid
Compiler

Compiled 265 to 154 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (55.9% of total)
ival-sub: 1.0ms (18.6% of total)
ival-div: 1.0ms (18.6% of total)
ival-neg: 1.0ms (18.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
7.768394374322041e-5
22145.243490470817
Results
10.0ms144×0valid
Compiler

Compiled 247 to 163 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 3.0ms (45.4% of total)
ival-neg: 2.0ms (30.3% of total)
ival-sub: 1.0ms (15.1% of total)
ival-div: 1.0ms (15.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
7.768394374322041e-5
22145.243490470817
Results
10.0ms144×0valid
Compiler

Compiled 229 to 154 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (59% of total)
ival-sub: 1.0ms (14.7% of total)
ival-div: 1.0ms (14.7% of total)
ival-neg: 1.0ms (14.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
7.768394374322041e-5
22145.243490470817
Results
10.0ms144×0valid
Compiler

Compiled 121 to 82 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 4.0ms (63.2% of total)
ival-sub: 1.0ms (15.8% of total)
ival-div: 1.0ms (15.8% of total)
ival-neg: 1.0ms (15.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify20.0ms (0.2%)

Algorithm
egg-herbie
Rules
104×*-commutative_binary64
54×+-commutative_binary64
34×sub-neg_binary64
34×distribute-lft-neg-in_binary64
34×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094401
1157401
2181401
3203401
4227401
5249401
6265401
7272401
8274401
Stop Event
saturated
Calls
Call 1
Inputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 5000000000000000000 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64)))) (if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 9/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(if (<=.f64 x #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(if (<=.f64 x #s(literal 5 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
x
Outputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 5000000000000000000 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64)))) (if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 5000000000000000000 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64))))) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64)))) (if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/48000 binary64))))))
(if (<=.f64 x #s(literal 9/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))
(if (<=.f64 x #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(if (<=.f64 x #s(literal 5 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal 5 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))
x

soundness2.1s (22.4%)

Rules
4320×*-lowering-*.f32
4320×*-lowering-*.f64
3654×*-lowering-*.f32
3654×*-lowering-*.f64
3588×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037205
1213174
21704161
08469161
0891512
12981260
28621204
337401198
471151198
080011198
074321
1222288
2670285
31946285
42964285
55512285
66306285
08211285
01502388
14591995
213341973
340351923
479301923
083001923
0717
14213
230113
0327213
026123
1161108
21318106
08260106
01141876
13471691
210001664
329301660
451841660
084401660
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 931 to 411 computations (55.9% saved)

preprocess94.0ms (1%)

Remove

(negabs x)

Compiler

Compiled 840 to 214 computations (74.5% saved)

end0.0ms (0%)

Profiling

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