Hyperbolic sine

Time bar (total: 10.4s)

analyze0.0ms (0%)

Algorithm
1×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)

sample1.6s (15.4%)

Results
1.1s4017×1valid
278.0ms4239×0valid
Precisions
Click to see histograms. Total time spent on operations: 982.0ms
ival-exp: 633.0ms (64.4% of total)
ival-div: 109.0ms (11.1% of total)
ival-sub: 83.0ms (8.4% of total)
backward-pass: 72.0ms (7.3% of total)
ival-neg: 71.0ms (7.2% of total)
const: 14.0ms (1.4% of total)
Bogosity

preprocess70.0ms (0.7%)

Algorithm
2×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
1×iter limit
1×saturated
1×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)

explain167.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1360-0-(-.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
106.0ms264×1valid
27.0ms248×0valid
Compiler

Compiled 59 to 23 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-exp: 57.0ms (67.5% of total)
ival-neg: 10.0ms (11.8% of total)
ival-div: 6.0ms (7.1% of total)
backward-pass: 6.0ms (7.1% of total)
ival-sub: 5.0ms (5.9% of total)
const: 1.0ms (1.2% of total)

eval2.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify39.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 (neg.f64 x))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓cost-diff0
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
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
1×iter limit
1×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)

localize90.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(exp.f64 x)
✓accuracy51.6%
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
42.0ms132×1valid
38.0ms124×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-exp: 20.0ms (64.5% of total)
ival-div: 3.0ms (9.7% of total)
backward-pass: 3.0ms (9.7% of total)
ival-neg: 2.0ms (6.4% of total)
ival-sub: 2.0ms (6.4% of total)
const: 0.0ms (0% of total)

series3.0ms (0%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/ (- (exp x) (exp (neg x))) 2)>
#<alt (- (exp x) (exp (neg x)))>
#<alt (exp x)>
#<alt (exp (neg x))>
#<alt (neg x)>
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) (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 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 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
1.0ms
x
@-inf
(/ (- (exp x) (exp (neg x))) 2)
1.0ms
x
@inf
(/ (- (exp x) (exp (neg x))) 2)
0.0ms
x
@0
(/ (- (exp x) (exp (neg x))) 2)
0.0ms
x
@inf
(neg x)
0.0ms
x
@0
(- (exp x) (exp (neg x)))

rewrite187.0ms (1.8%)

Algorithm
1×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
0327313
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
5 → 260
Calls
Call 1
Inputs
(/ (- (exp x) (exp (neg x))) 2)
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(neg x)
Outputs
(+.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 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))))
(+.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 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (/.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 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #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 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (+.f64 (/.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 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (+.f64 (/.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 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(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 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (+.f64 (/.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 (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 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 (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 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 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 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 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (+.f64 (/.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)))
(/.f64 (*.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 (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)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
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(*.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 (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 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 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))
(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))

simplify198.0ms (1.9%)

Algorithm
1×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
2671285
31941285
42957285
55503285
66295285
08198285
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
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) (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 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)
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
x
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 x (*.f64 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 (*.f64 x 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 x (*.f64 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 x)
(+.f64 x #s(literal 1 binary64))
(+ 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)
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 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 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)

eval33.0ms (0.3%)

Compiler

Compiled 5662 to 878 computations (84.5% saved)

prune59.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3128320
Fresh000
Picked101
Done000
Total3138321
Accuracy
100.0%
Counts
321 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.3%
(/.f64 (*.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)))))) #s(literal 2 binary64))
▶88.7%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))
▶53.4%
(/.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))))
88.7%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
96.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
94.3%
(*.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)))))))
▶100.0%
(sinh.f64 x)
▶55.5%
x
Compiler

Compiled 196 to 126 computations (35.7% saved)

simplify175.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cosh.f64 x)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
✓cost-diff256
(/.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))))
✓cost-diff13184
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)))
✓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 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))))))
✓cost-diff0
(/.f64 (*.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)))))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))
✓cost-diff0
(sinh.f64 x)
Rules
2746×*-lowering-*.f32
2746×*-lowering-*.f64
1760×/-lowering-/.f32
1760×/-lowering-/.f64
1572×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023134
181115
2265113
3811113
45088113
55955113
67333113
08201113
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(sinh x)
x
x
(/ (* x (+ 2 (* x (* x 1/3)))) 2)
(* x (+ 2 (* x (* x 1/3))))
x
(+ 2 (* x (* x 1/3)))
2
(* x (* x 1/3))
(* x 1/3)
1/3
(/ (* 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)
1/60
(/ 1 (/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x))))
1
(/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x)))
(* 2 (cosh x))
2
(cosh x)
x
(* (* 2 (cosh x)) (sinh x))
(sinh x)
Outputs
(sinh x)
(sinh.f64 x)
x
x
(/ (* x (+ 2 (* x (* x 1/3)))) 2)
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(* x (+ 2 (* x (* x 1/3))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
x
(+ 2 (* x (* x 1/3)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(* x (* x 1/3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(/ (* x (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))) 2)
(/.f64 (*.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)))))) #s(literal 2 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))
1/60
#s(literal 1/60 binary64)
(/ 1 (/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x))))
(sinh.f64 x)
1
#s(literal 1 binary64)
(/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x)))
(/.f64 #s(literal 1 binary64) (sinh.f64 x))
(* 2 (cosh x))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
2
#s(literal 2 binary64)
(cosh x)
(cosh.f64 x)
x
(* (* 2 (cosh x)) (sinh x))
(/.f64 (cosh.f64 x) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(sinh x)
(sinh.f64 x)

localize573.0ms (5.5%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))
✓accuracy100.0%
(sinh.f64 x)
✓accuracy99.9%
(/.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))))
✓accuracy99.2%
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)))
✓accuracy100.0%
(*.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))))))
✓accuracy100.0%
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
✓accuracy99.9%
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
✓accuracy99.7%
(*.f64 x #s(literal 1/3 binary64))
✓accuracy100.0%
(sinh.f64 x)
Results
314.0ms139×0valid
217.0ms117×5exit
Compiler

Compiled 163 to 24 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 361.0ms
ival-mult: 277.0ms (76.6% of total)
backward-pass: 48.0ms (13.3% of total)
...c/correct-round.rkt:119:19: 15.0ms (4.1% of total)
ival-div: 9.0ms (2.5% of total)
ival-add: 5.0ms (1.4% of total)
ival-cosh: 4.0ms (1.1% of total)
ival-sinh: 3.0ms (0.8% of total)
const: 1.0ms (0.3% of total)

series22.0ms (0.2%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (sinh x)>
#<alt (/ (* x (+ 2 (* x (* x 1/3)))) 2)>
#<alt (* x (+ 2 (* x (* x 1/3))))>
#<alt (+ 2 (* x (* x 1/3)))>
#<alt (* x (* x 1/3))>
#<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 (/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x)))>
#<alt (/ 1 (/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x))))>
#<alt (* 2 (cosh x))>
#<alt (cosh x)>
#<alt (* x 1/3)>
#<alt (* (* x x) 1/60)>
#<alt (+ 1/3 (* (* x x) 1/60))>
#<alt (* (* 2 (cosh x)) (sinh x))>
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 (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (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 x)>
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (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) (/ 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 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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 (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 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 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 4/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
Calls

51 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(* 2 (cosh x))
1.0ms
x
@inf
(/ (* x (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))) 2)
1.0ms
x
@-inf
(sinh x)
1.0ms
x
@inf
(* (* 2 (cosh x)) (sinh x))
1.0ms
x
@inf
(* 2 (cosh x))

rewrite386.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4260×*-lowering-*.f32
4260×*-lowering-*.f64
3562×/-lowering-/.f32
3562×/-lowering-/.f64
1500×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023118
115099
2115897
0833897
Stop Event
1×iter limit
1×node limit
Counts
17 → 828
Calls
Call 1
Inputs
(sinh x)
(/ (* x (+ 2 (* x (* x 1/3)))) 2)
(* x (+ 2 (* x (* x 1/3))))
(+ 2 (* x (* x 1/3)))
(* x (* x 1/3))
(/ (* 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)))
(/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x)))
(/ 1 (/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x))))
(* 2 (cosh x))
(cosh x)
(* x 1/3)
(* (* x x) 1/60)
(+ 1/3 (* (* x x) 1/60))
(* (* 2 (cosh x)) (sinh x))
Outputs
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)))
(sinh.f64 x)
(/.f64 (sinh.f64 x) #s(literal 1 binary64))
(/.f64 (cosh.f64 x) (/.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.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 (*.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (cosh.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (sinh.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) (/.f64 (cosh.f64 x) (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
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(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal -1 binary64))) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (sinh.f64 x) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))))
(*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))
(*.f64 (*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 x) (-.f64 #s(literal 0 binary64) (cosh.f64 x))))
(*.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal -1/2 binary64)))

simplify233.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
4026×*-lowering-*.f32
4026×*-lowering-*.f64
2766×+-lowering-+.f64
2766×+-lowering-+.f32
1658×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01541711
14811472
215101450
349431424
081601424
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (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 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (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) (/ 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))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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))))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 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))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 4/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
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 (* 1/120 (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 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x 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 x (*.f64 x #s(literal 1/6 binary64)))))
(* 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 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 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 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(+ 2 (* 1/3 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(+ 2 (* 1/3 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
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(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(+ 1/3 (* 1/60 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 4/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4/15 binary64) (*.f64 (*.f64 x x) #s(literal 8/315 binary64)))))))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))

eval157.0ms (1.5%)

Compiler

Compiled 27865 to 3247 computations (88.3% saved)

prune168.0ms (1.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1213141227
Fresh033
Picked325
Done000
Total1216191235
Accuracy
100.0%
Counts
1235 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))))) x) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) #s(literal -2 binary64))))) #s(literal 2 binary64))
58.1%
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))) x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))) #s(literal 2 binary64))
88.7%
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
▶38.7%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
54.9%
(/.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))) #s(literal 2 binary64))
▶57.7%
(/.f64 (*.f64 x (+.f64 #s(literal 2 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 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))))) #s(literal 2 binary64))
94.0%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) #s(literal 2 binary64))
94.3%
(/.f64 x (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))
53.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
▶55.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
42.4%
(*.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))))
88.7%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
▶96.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
▶94.3%
(*.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)))))))
88.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
44.0%
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
38.7%
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
✓100.0%
(sinh.f64 x)
✓55.5%
x
Compiler

Compiled 853 to 415 computations (51.3% saved)

simplify155.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 2 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 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 2 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 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))))))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 #s(literal 2 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 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))))) #s(literal 2 binary64))
✓cost-diff128
(*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 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 x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
✓cost-diff128
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
Rules
2416×*-lowering-*.f32
2416×*-lowering-*.f64
1704×fma-define
1528×+-lowering-+.f64
1528×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045385
1148316
2606308
31889302
44288302
56122302
08154302
Stop Event
1×iter limit
1×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))))
(* x (+ 1/120 (* (* x x) 1/5040)))
(+ 1/120 (* (* x x) 1/5040))
1/120
(* (* x x) 1/5040)
1/5040
(/ 1 (/ 1 x))
1
(/ 1 x)
x
(/ (* (* x (* x x)) 1/3) 2)
(* (* x (* x x)) 1/3)
(* x (* x x))
x
(* x x)
1/3
2
(* 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 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3)))))) 2)
(* x (+ 2 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3))))))
x
(+ 2 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3)))))
2
(/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3))))
(* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x))
(+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000)))
1/27
(* (* x (* x x)) (* (* x (* x x)) 1/216000))
(* x (* x x))
(* x x)
(* (* x (* x x)) 1/216000)
1/216000
(+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3)))
1/9
(* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3))
(* x (* x 1/60))
(* x 1/60)
1/60
(+ (* x (* x 1/60)) -1/3)
-1/3
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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(* x (+ 1/120 (* (* x x) 1/5040)))
(*.f64 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)
(/ 1 (/ 1 x))
x
1
#s(literal 1 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ (* (* x (* x x)) 1/3) 2)
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* (* x (* x x)) 1/3)
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
(* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))))
(*.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 (* x (* x (+ 1/6 (* (* x x) 1/120)))))
(+.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
#s(literal 1 binary64)
(* x (* x (+ 1/6 (* (* x x) 1/120))))
(*.f64 (*.f64 x 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 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3)))))) 2)
(/.f64 (+.f64 #s(literal 2 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 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/3600 binary64)) #s(literal -1/180 binary64)))))) (/.f64 #s(literal 2 binary64) x))
(* x (+ 2 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3))))))
(*.f64 x (+.f64 #s(literal 2 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 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/3600 binary64)) #s(literal -1/180 binary64)))))))
x
(+ 2 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3)))))
(+.f64 #s(literal 2 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 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/3600 binary64)) #s(literal -1/180 binary64))))))
2
#s(literal 2 binary64)
(/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3))))
(/.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 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/3600 binary64)) #s(literal -1/180 binary64)))))
(* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x))
(*.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)))))
(+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000)))
(+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))
1/27
#s(literal 1/27 binary64)
(* (* x (* x x)) (* (* x (* x x)) 1/216000))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(* (* x (* x x)) 1/216000)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
1/216000
#s(literal 1/216000 binary64)
(+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3)))
(+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/3600 binary64)) #s(literal -1/180 binary64))))
1/9
#s(literal 1/9 binary64)
(* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/3600 binary64)) #s(literal -1/180 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)
(+ (* x (* x 1/60)) -1/3)
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)

localize396.0ms (3.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/60 binary64)))
✓accuracy99.6%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
✓accuracy65.3%
(/.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 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 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)))))
✓accuracy99.9%
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
✓accuracy100.0%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
✓accuracy99.9%
(*.f64 x (*.f64 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 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
Results
269.0ms256×0valid
Compiler

Compiled 480 to 46 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-mult: 86.0ms (58.8% of total)
...c/correct-round.rkt:119:19: 40.0ms (27.4% of total)
ival-add: 11.0ms (7.5% of total)
ival-div: 9.0ms (6.2% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
24 → 288
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 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (* (* x (* x x)) 1/3) 2)>
#<alt (* (* x (* x x)) 1/3)>
#<alt (* x (* x x))>
#<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 (* x 1/60)) (+ (* x (* x 1/60)) -1/3))>
#<alt (/ (* x (+ 2 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3)))))) 2)>
#<alt (* x (+ 2 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3))))))>
#<alt (+ 2 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3)))))>
#<alt (* (* x x) 1/5040)>
#<alt (* x (* x (+ 1/120 (* (* x x) 1/5040))))>
#<alt (* x (+ 1/120 (* (* x x) 1/5040)))>
#<alt (* (* x x) 1/120)>
#<alt (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3))))>
#<alt (* (* x (* x x)) 1/216000)>
#<alt (* x (* 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 (* 1/5040 (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 x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 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)>
#<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 (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (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 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 (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3600 (pow x 2)) 1/180))>
#<alt (* (pow x 2) (- (* 1/3600 (pow x 2)) 1/180))>
#<alt (* (pow x 2) (- (* 1/3600 (pow x 2)) 1/180))>
#<alt (* 1/3600 (pow x 4))>
#<alt (* (pow x 4) (- 1/3600 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/3600 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/3600 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/3600 (pow x 4))>
#<alt (* (pow x 4) (- 1/3600 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/3600 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/3600 (* 1/180 (/ 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 (* 1/5040 (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)))))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 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 (* 1/3 (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 (* 1/216000 (pow x 3))>
#<alt (* 1/216000 (pow x 3))>
#<alt (* 1/216000 (pow x 3))>
#<alt (* 1/216000 (pow x 3))>
#<alt (* 1/216000 (pow x 3))>
#<alt (* 1/216000 (pow x 3))>
#<alt (* 1/216000 (pow x 3))>
#<alt (* 1/216000 (pow x 3))>
#<alt (* 1/216000 (pow x 3))>
#<alt (* 1/216000 (pow x 3))>
#<alt (* 1/216000 (pow x 3))>
#<alt (* 1/216000 (pow x 3))>
#<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))>
Calls

72 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040))))))
1.0ms
x
@inf
(/ (* x (+ 2 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3)))))) 2)
1.0ms
x
@inf
(/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3))))
0.0ms
x
@0
(/ (* x (+ 2 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3)))))) 2)
0.0ms
x
@inf
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040))))))))

rewrite498.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
3460×*-lowering-*.f32
3460×*-lowering-*.f64
3026×fma-lowering-fma.f32
3026×fma-lowering-fma.f64
1794×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045276
1296228
22967221
08587221
Stop Event
1×iter limit
1×node limit
Counts
24 → 613
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 (/ 1 x))
(/ 1 x)
(/ (* (* x (* x x)) 1/3) 2)
(* (* x (* x x)) 1/3)
(* x (* x x))
(* 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 (* x 1/60)) (+ (* x (* x 1/60)) -1/3))
(/ (* x (+ 2 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3)))))) 2)
(* x (+ 2 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3))))))
(+ 2 (/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3)))))
(* (* x x) 1/5040)
(* x (* x (+ 1/120 (* (* x x) 1/5040))))
(* x (+ 1/120 (* (* x x) 1/5040)))
(* (* x x) 1/120)
(/ (* (+ 1/27 (* (* x (* x x)) (* (* x (* x x)) 1/216000))) (* x x)) (+ 1/9 (* (* x (* x 1/60)) (+ (* x (* x 1/60)) -1/3))))
(* (* x (* x x)) 1/216000)
(* x (* x 1/60))
Outputs
(+.f64 x (*.f64 (+.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 x x))))
(+.f64 (*.f64 (+.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 x x))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (+.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 x x))))
(fma.f64 x (*.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)
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.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 x x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.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 x x))) x)
(fma.f64 (*.f64 x x) (*.f64 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)
(fma.f64 (+.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 x x)) x)
(fma.f64 (*.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)
(fma.f64 (*.f64 x (*.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)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 (+.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 x x))))
(fma.f64 (*.f64 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 x) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (+.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 x x))))
(/.f64 (+.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 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 x x) (*.f64 (+.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 (*.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 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.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)))))) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.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 (*.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 (/.f64 #s(literal 1 binary64) 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 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 x x) (*.f64 (+.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 (*.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 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.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)))))) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.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 (*.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 (/.f64 #s(literal -1 binary64) 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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 x x) (*.f64 (+.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 (*.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)))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.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)))))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 x x) (*.f64 (+.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 (*.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)))))))))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.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)))))) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.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 (*.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))))))))) #s(literal 1 binary64)) (*.f64 (-.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 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.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 (*.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))))))))) #s(literal -1 binary64)) (*.f64 (-.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 #s(literal -1 binary64) 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 (*.f64 x x) #s(literal 1/5040 binary64))))) (+.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 #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 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (+.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 x x))) (*.f64 (+.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 x x)))) (*.f64 x (*.f64 (+.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 x x)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.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 x x))) (*.f64 (+.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 x x))))) (-.f64 x (*.f64 (+.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 x x)))))
(/.f64 (*.f64 (+.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))))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.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 (*.f64 x x) (*.f64 (+.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 (*.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 #s(literal 1 binary64) (*.f64 (*.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 (*.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)))))) #s(literal 1 binary64)))))
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(neg.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/19683 binary64) (*.f64 #s(literal 1/10077696000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))) #s(literal -1/27 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656000000 binary64))) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/19683 binary64) (*.f64 #s(literal 1/10077696000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (/.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))) #s(literal -1/27 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656000000 binary64))) (/.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))) (/.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))) (/.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))) (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/3600 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/60 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1/216000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/216000 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/216000 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1/216000 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(pow.f64 (*.f64 x #s(literal 1/60 binary64)) #s(literal 3 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/216000 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/216000 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
(*.f64 #s(literal 1/216000 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/216000 binary64)) x)
(*.f64 (*.f64 (*.f64 x #s(literal 1/60 binary64)) (*.f64 x #s(literal 1/60 binary64))) (*.f64 x #s(literal 1/60 binary64)))
(*.f64 (*.f64 #s(literal 1/216000 binary64) x) (*.f64 x x))
(/.f64 (*.f64 x #s(literal 1/60 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 x #s(literal 1/60 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 x #s(literal 1/60 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/60 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 x (*.f64 x #s(literal 1/60 binary64)))
(*.f64 #s(literal 1 binary64) (*.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 (*.f64 (*.f64 x #s(literal 1/60 binary64)) #s(literal 1 binary64)) x)

simplify304.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
3382×*-lowering-*.f32
3382×*-lowering-*.f64
1754×+-lowering-+.f64
1754×+-lowering-+.f32
1584×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01332225
14431865
212931843
339051813
475671813
080941813
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
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)
x
x
x
x
x
x
x
x
x
x
x
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)
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (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)
(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 (* 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)))))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/3600 (pow x 2)) 1/180))
(* (pow x 2) (- (* 1/3600 (pow x 2)) 1/180))
(* (pow x 2) (- (* 1/3600 (pow x 2)) 1/180))
(* 1/3600 (pow x 4))
(* (pow x 4) (- 1/3600 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/3600 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/3600 (* 1/180 (/ 1 (pow x 2)))))
(* 1/3600 (pow x 4))
(* (pow x 4) (- 1/3600 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/3600 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/3600 (* 1/180 (/ 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)))))
(* 1/5040 (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)))))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 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))
(* 1/3 (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)))))
(* 1/216000 (pow x 3))
(* 1/216000 (pow x 3))
(* 1/216000 (pow x 3))
(* 1/216000 (pow x 3))
(* 1/216000 (pow x 3))
(* 1/216000 (pow x 3))
(* 1/216000 (pow x 3))
(* 1/216000 (pow x 3))
(* 1/216000 (pow x 3))
(* 1/216000 (pow x 3))
(* 1/216000 (pow x 3))
(* 1/216000 (pow x 3))
(* 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))
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 (* 1/120 (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 x (*.f64 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 #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 (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 (*.f64 x (*.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 x (*.f64 x #s(literal 1/6 binary64))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.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 x (*.f64 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 #s(literal 1/6 binary64) (*.f64 x (*.f64 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 #s(literal 1/6 binary64) (*.f64 x (*.f64 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 #s(literal 1/6 binary64) (*.f64 x (*.f64 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 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))
(* 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 x (*.f64 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 x (*.f64 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 #s(literal 1/6 binary64) (*.f64 x (*.f64 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 #s(literal 1/6 binary64) (*.f64 x (*.f64 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 #s(literal 1/6 binary64) (*.f64 x (*.f64 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 #s(literal 1/6 binary64) (*.f64 x (*.f64 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)
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) 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)))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(* 1/3 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 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)
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(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 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))
(* 1/3 (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 (*.f64 x (*.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 (*.f64 x (*.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))))
(* 1/216000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
(* 1/216000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
(* 1/216000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
(* 1/216000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
(* 1/216000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
(* 1/216000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
(* 1/216000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
(* 1/216000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
(* 1/216000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
(* 1/216000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
(* 1/216000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))
(* 1/216000 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 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))

eval199.0ms (1.9%)

Compiler

Compiled 38437 to 3894 computations (89.9% saved)

prune216.0ms (2.1%)

Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1185261211
Fresh6612
Picked325
Done022
Total1194361230
Accuracy
100.0%
Counts
1230 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.7%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.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 x x))) (*.f64 (+.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 x x))))) (-.f64 x (*.f64 (+.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 x x)))))
88.7%
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
18.6%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))))
96.0%
(/.f64 (+.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 #s(literal 1 binary64) x))
▶58.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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))))))) 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)))))))
55.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.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 (*.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) (-.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))))))))
57.3%
(/.f64 (*.f64 x (+.f64 #s(literal 2 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 x (*.f64 x (*.f64 x x))) #s(literal 1/3600 binary64)))))) #s(literal 2 binary64))
44.0%
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))
94.3%
(/.f64 x (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))
53.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
38.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))
✓55.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
94.3%
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
94.3%
(*.f64 (+.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)
42.4%
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
38.7%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
38.7%
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
55.4%
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.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 (*.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)))))))) #s(literal 1 binary64)) (-.f64 (*.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)))))) #s(literal 1 binary64))))
96.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 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 #s(literal 1 binary64) x))))
96.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
70.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
57.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.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))))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))
70.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (/.f64 #s(literal 1 binary64) x))))))))
57.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (/.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)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (/.f64 #s(literal 1 binary64) x))))))))
✓96.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
▶96.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x))))))))
96.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
▶96.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
94.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (/.f64 #s(literal 1 binary64) x)))))
88.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
▶44.2%
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
44.0%
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
▶38.7%
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
44.0%
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓100.0%
(sinh.f64 x)
✓55.5%
x
Compiler

Compiled 1785 to 853 computations (52.2% saved)

simplify205.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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))))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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)))))))
✓cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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))))))) x)
✓cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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))))))) 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)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
✓cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 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 x (*.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 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x)))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x))))))))
Rules
3772×*-lowering-*.f32
3772×*-lowering-*.f64
2178×+-lowering-+.f64
2178×+-lowering-+.f32
1638×fnmadd-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040362
1151305
2575290
32226288
46376286
08087286
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) x))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) x)))))))
1
(* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) x))))))
(* x x)
(+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) x)))))
1/6
(* x (* x (+ 1/120 (* (* x 1/5040) x))))
(* x (+ 1/120 (* (* x 1/5040) x)))
(+ 1/120 (* (* x 1/5040) x))
1/120
(* (* x 1/5040) x)
(* x 1/5040)
1/5040
(* x (* x (* x 1/6)))
x
(* x (* x 1/6))
(* x 1/6)
1/6
(* x (* x (* x (+ 1/6 (* (* x x) 1/120)))))
x
(* 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 (+ 1 (* (* x x) (+ 1/6 (* 1/5040 (* x (* x (* x x))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* 1/5040 (* x (* x (* x x)))))))
1
(* (* x x) (+ 1/6 (* 1/5040 (* x (* x (* x x))))))
(* x x)
(+ 1/6 (* 1/5040 (* x (* x (* x x)))))
1/6
(* 1/5040 (* x (* x (* x x))))
1/5040
(* x (* x (* x x)))
(* x (* x x))
(/ (* (- 1 (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120)))))) x) (- 1 (* (* x x) (+ 1/6 (* x (* x 1/120))))))
(* (- 1 (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120)))))) x)
(- 1 (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120))))))
1
(* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120)))))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120))))
(+ 1/6 (* x (* x 1/120)))
1/6
(* x (* x 1/120))
(* x 1/120)
1/120
(- 1 (* (* x x) (+ 1/6 (* x (* x 1/120)))))
(* (* x x) (+ 1/6 (* x (* x 1/120))))
Outputs
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) 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 (*.f64 x x) #s(literal 1/5040 binary64))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) 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
#s(literal 1 binary64)
(* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) x))))))
(*.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 1/5040) 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)))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ 1/120 (* (* x 1/5040) x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* x (+ 1/120 (* (* x 1/5040) x)))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(+ 1/120 (* (* x 1/5040) x))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
1/120
#s(literal 1/120 binary64)
(* (* x 1/5040) x)
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* x 1/5040)
(*.f64 x #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)
(* x (* x (* x 1/6)))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
x
(* 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 (* x (* x (+ 1/6 (* (* x x) 1/120)))))
(*.f64 (*.f64 x (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* x (+ 1/6 (* (* x x) 1/120)))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(+ 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)))
(* x x)
(*.f64 x x)
1/120
#s(literal 1/120 binary64)
(* x (+ 1 (* (* x x) (+ 1/6 (* 1/5040 (* x (* x (* x x))))))))
(*.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))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* 1/5040 (* x (* x (* x 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)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/6 (* 1/5040 (* x (* x (* x x))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))
(* x x)
(*.f64 x x)
(+ 1/6 (* 1/5040 (* x (* x (* x x)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))
1/6
#s(literal 1/6 binary64)
(* 1/5040 (* x (* x (* x x))))
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))
1/5040
#s(literal 1/5040 binary64)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(/ (* (- 1 (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120)))))) x) (- 1 (* (* x x) (+ 1/6 (* x (* x 1/120))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))) (/.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 (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120)))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))))))
(- 1 (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))))))
1
#s(literal 1 binary64)
(* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120))))
(*.f64 (+.f64 #s(literal 1/6 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)))))
(+ 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)))
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
(- 1 (* (* x x) (+ 1/6 (* x (* x 1/120)))))
(+.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 x) (+ 1/6 (* x (* x 1/120))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))

localize399.0ms (3.9%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x #s(literal 1/120 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
✓accuracy66.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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))))))) 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)))))))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
✓accuracy99.6%
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy99.9%
(*.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 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
✓accuracy99.9%
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
✓accuracy99.8%
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
✓accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x)))
✓accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x))))
✓accuracy99.9%
(*.f64 (*.f64 x #s(literal 1/5040 binary64)) x)
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x))))))
Results
304.0ms256×0valid
Compiler

Compiled 462 to 41 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
...c/correct-round.rkt:119:19: 72.0ms (47.5% of total)
ival-mult: 62.0ms (40.9% of total)
ival-add: 12.0ms (7.9% of total)
ival-sub: 3.0ms (2% of total)
ival-div: 2.0ms (1.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts
28 → 336
Calls
Call 1
Inputs
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) x))))))))>
#<alt (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) x)))))))>
#<alt (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) x))))))>
#<alt (* x x)>
#<alt (* x (* x (* x 1/6)))>
#<alt (* x (* x 1/6))>
#<alt (* x 1/6)>
#<alt (* x (* 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 (+ 1/6 (* (* x x) 1/120))>
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* 1/5040 (* x (* x (* x x))))))))>
#<alt (+ 1 (* (* x x) (+ 1/6 (* 1/5040 (* x (* x (* x x)))))))>
#<alt (* (* x x) (+ 1/6 (* 1/5040 (* x (* x (* x x))))))>
#<alt (/ (* (- 1 (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120)))))) x) (- 1 (* (* x x) (+ 1/6 (* x (* x 1/120))))))>
#<alt (* (- 1 (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120)))))) x)>
#<alt (- 1 (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120))))))>
#<alt (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120)))))>
#<alt (* (* x 1/5040) x)>
#<alt (* x (* x (+ 1/120 (* (* x 1/5040) x))))>
#<alt (* x (+ 1/120 (* (* x 1/5040) x)))>
#<alt (* (* x x) 1/120)>
#<alt (* 1/5040 (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x (* x 1/120))>
#<alt (* (* x x) (+ 1/6 (* x (* x 1/120))))>
#<alt (* x 1/120)>
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 (* 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 (* 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 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 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 (* 1/5040 (pow x 4))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) 1/5040)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4)))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<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 x>
#<alt (* x (+ 1 (* -1/36 (pow x 4))))>
#<alt (* x (+ 1 (* (pow x 4) (- (* -1/360 (pow x 2)) 1/36))))>
#<alt (* x (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -1/14400 (pow x 2)) 1/360)) 1/36))))>
#<alt (* -1/14400 (pow x 9))>
#<alt (* -1 (* (pow x 9) (+ 1/14400 (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 9) (- (* -1 (/ (+ 1/360 (* 1/36 (/ 1 (pow x 2)))) (pow x 2))) 1/14400))>
#<alt (* (pow x 9) (- (/ 1 (pow x 8)) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))))>
#<alt (* -1/14400 (pow x 9))>
#<alt (* -1 (* (pow x 9) (+ 1/14400 (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))) (/ 1 (pow x 8)))))>
#<alt 1>
#<alt (+ 1 (* -1/36 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -1/360 (pow x 2)) 1/36)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -1/14400 (pow x 2)) 1/360)) 1/36)))>
#<alt (* -1/14400 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 1/14400 (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 1/360 (* 1/36 (/ 1 (pow x 2)))) (pow x 2))) 1/14400))>
#<alt (* (pow x 8) (- (/ 1 (pow x 8)) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))))>
#<alt (* -1/14400 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 1/14400 (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 1/360 (* 1/36 (/ 1 (pow x 2)))) (pow x 2))) 1/14400))>
#<alt (* (pow x 8) (- (/ 1 (pow x 8)) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))))>
#<alt (* 1/36 (pow x 4))>
#<alt (* (pow x 4) (+ 1/36 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/36 (* (pow x 2) (+ 1/360 (* 1/14400 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/36 (* (pow x 2) (+ 1/360 (* 1/14400 (pow x 2))))))>
#<alt (* 1/14400 (pow x 8))>
#<alt (* (pow x 8) (+ 1/14400 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/14400 (pow x 8))>
#<alt (* (pow x 8) (+ 1/14400 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 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 (* (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 (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 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 (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 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 (* 1/6 (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 (* 1/120 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)>
Calls

84 calls:

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

rewrite398.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
4022×*-lowering-*.f32
4022×*-lowering-*.f64
2776×/-lowering-/.f32
2776×/-lowering-/.f64
1960×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040275
1264213
22352205
09132205
Stop Event
1×iter limit
1×node limit
Counts
28 → 667
Calls
Call 1
Inputs
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) x))))))))
(+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) x)))))))
(* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* (* x 1/5040) x))))))
(* x x)
(* x (* x (* x 1/6)))
(* x (* x 1/6))
(* x 1/6)
(* x (* x (* x (+ 1/6 (* (* x x) 1/120)))))
(* x (* x (+ 1/6 (* (* x x) 1/120))))
(* x (+ 1/6 (* (* x x) 1/120)))
(+ 1/6 (* (* x x) 1/120))
(* x (+ 1 (* (* x x) (+ 1/6 (* 1/5040 (* x (* x (* x x))))))))
(+ 1 (* (* x x) (+ 1/6 (* 1/5040 (* x (* x (* x x)))))))
(* (* x x) (+ 1/6 (* 1/5040 (* x (* x (* x x))))))
(/ (* (- 1 (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120)))))) x) (- 1 (* (* x x) (+ 1/6 (* x (* x 1/120))))))
(* (- 1 (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120)))))) x)
(- 1 (* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120))))))
(* (* x (* x (* x x))) (* (+ 1/6 (* x (* x 1/120))) (+ 1/6 (* x (* x 1/120)))))
(* (* x 1/5040) x)
(* x (* x (+ 1/120 (* (* x 1/5040) x))))
(* x (+ 1/120 (* (* x 1/5040) x)))
(* (* x x) 1/120)
(* 1/5040 (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x (* x 1/120))
(* (* x x) (+ 1/6 (* x (* x 1/120))))
(* x 1/120)
Outputs
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 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 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) x)
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(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 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 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))))))
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(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.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 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (+.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 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))))
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(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.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 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))) (neg.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 (neg.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) #s(literal 1 binary64))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(*.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 x))
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (*.f64 x x))
(*.f64 x #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) x)

simplify242.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
3466×*-lowering-*.f32
3466×*-lowering-*.f64
2104×+-lowering-+.f64
2104×+-lowering-+.f32
1612×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01682700
15772350
217852301
354322288
082482288
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
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))
(* 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))
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(* 1/6 x)
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(* 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 (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))
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(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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(* 1/120 (pow x 4))
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(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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(* 1/6 x)
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(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
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(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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x
(* x (+ 1 (* 1/6 (pow x 2))))
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(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) 1/5040)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4)))))
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(* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))
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(* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
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))
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(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
x
(* x (+ 1 (* -1/36 (pow x 4))))
(* x (+ 1 (* (pow x 4) (- (* -1/360 (pow x 2)) 1/36))))
(* x (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -1/14400 (pow x 2)) 1/360)) 1/36))))
(* -1/14400 (pow x 9))
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(* -1/14400 (pow x 9))
(* -1 (* (pow x 9) (+ 1/14400 (* 1/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 9) (- (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))) (/ 1 (pow x 8)))))
1
(+ 1 (* -1/36 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -1/360 (pow x 2)) 1/36)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -1/14400 (pow x 2)) 1/360)) 1/36)))
(* -1/14400 (pow x 8))
(* -1 (* (pow x 8) (+ 1/14400 (* 1/360 (/ 1 (pow x 2))))))
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(* -1/14400 (pow x 8))
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(* (pow x 8) (- (* -1 (/ (+ 1/360 (* 1/36 (/ 1 (pow x 2)))) (pow x 2))) 1/14400))
(* (pow x 8) (- (/ 1 (pow x 8)) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))))
(* 1/36 (pow x 4))
(* (pow x 4) (+ 1/36 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/36 (* (pow x 2) (+ 1/360 (* 1/14400 (pow x 2))))))
(* (pow x 4) (+ 1/36 (* (pow x 2) (+ 1/360 (* 1/14400 (pow x 2))))))
(* 1/14400 (pow x 8))
(* (pow x 8) (+ 1/14400 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/14400 (pow x 8))
(* (pow x 8) (+ 1/14400 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 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))
(* (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)))))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 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))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 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))
(* 1/6 (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)))))
(* 1/120 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)
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 x (*.f64 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 #s(literal 1/5040 binary64) (+.f64 (/.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 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 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 (*.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 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(* 1/5040 (pow x 6))
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (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))) (*.f64 x (*.f64 x (*.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/5040 (pow x 6))
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (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))) (*.f64 x (*.f64 x (*.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 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 (*.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 x (*.f64 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 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* 1/5040 (pow x 6))
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (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))) (*.f64 x (*.f64 x (*.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/5040 (pow x 6))
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (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))) (*.f64 x (*.f64 x (*.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 (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)))
(* 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))
(* 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 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))
(* 1/120 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.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)))))
(* (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 #s(literal 1/120 binary64) (*.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)))))
(* (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 (*.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 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 1/120 (pow x 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/36 (* (pow x 2) (+ 1/360 (* 1/14400 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))))
(* (pow x 4) (+ 1/36 (* (pow x 2) (+ 1/360 (* 1/14400 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))))
(* 1/14400 (pow x 8))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/14400 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/14400 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/14400 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/14400 (pow x 8))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/14400 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/14400 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/14400 (+ (/ 1/36 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/14400 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 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 x (*.f64 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 x (*.f64 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 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 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))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.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))
(* 1/120 (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))
(* 1/6 (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 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 1/120 (pow x 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.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))

eval203.0ms (2%)

Compiler

Compiled 46356 to 3054 computations (93.4% saved)

prune135.0ms (1.3%)

Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New1194141208
Fresh141327
Picked235
Done134
Total1211331244
Accuracy
100.0%
Counts
1244 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.6%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))
88.7%
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
96.0%
(/.f64 (+.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 #s(literal 1 binary64) x))
70.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
55.7%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.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 x (*.f64 x #s(literal 1/5040 binary64)))))))))
54.9%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.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 x (*.f64 x #s(literal 1/5040 binary64))))))) #s(literal 1 binary64)))))
7.5%
(/.f64 (*.f64 (*.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) 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)))))))
53.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
38.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))
✓55.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
94.3%
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
96.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x)
44.2%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))
38.7%
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
38.7%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
38.7%
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
96.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 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 #s(literal 1 binary64) x))))
96.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
70.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
✓96.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x))))))))
96.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
✓96.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
88.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
44.2%
(*.f64 x (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)))
44.0%
(*.f64 x (*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
43.6%
(*.f64 x (*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
44.0%
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
✓38.7%
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
44.0%
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
45.8%
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
44.0%
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓100.0%
(sinh.f64 x)
✓55.5%
x
Compiler

Compiled 2370 to 686 computations (71.1% saved)

regimes55.0ms (0.5%)

Counts
63 → 1
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(*.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (/.f64 #s(literal 1 binary64) x)))))
(*.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))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(/.f64 x (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.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)))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x)
(*.f64 x (*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.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 x (*.f64 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 (+.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 #s(literal 1 binary64) x))))
(/.f64 (+.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 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 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 x) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)))) (-.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 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(/.f64 (*.f64 (*.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) 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)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (/.f64 #s(literal 1 binary64) x))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 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 x (*.f64 x (*.f64 x x))) #s(literal 1/3600 binary64)))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 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 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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))))))) 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)))))))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))) x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.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))))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (/.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)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (/.f64 #s(literal 1 binary64) x))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.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 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.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 (*.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)))))))) #s(literal 1 binary64)) (-.f64 (*.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)))))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.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 (*.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) (-.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 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.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 x x))) (*.f64 (+.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 x x))))) (-.f64 x (*.f64 (+.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 x x)))))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))))) x) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) #s(literal -2 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.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 x (*.f64 x #s(literal 1/5040 binary64))))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 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))))
Outputs
(sinh.f64 x)
Calls

3 calls:

17.0ms
x
14.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
14.0ms
(-.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)

regimes20.0ms (0.2%)

Counts
60 → 1
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(*.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (/.f64 #s(literal 1 binary64) x)))))
(*.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))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(/.f64 x (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.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)))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x)
(*.f64 x (*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.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 x (*.f64 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 (+.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 #s(literal 1 binary64) x))))
(/.f64 (+.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 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 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 x) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)))) (-.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 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(/.f64 (*.f64 (*.f64 #s(literal -1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) 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)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (/.f64 #s(literal 1 binary64) x))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 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 x (*.f64 x (*.f64 x x))) #s(literal 1/3600 binary64)))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 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 x (*.f64 x #s(literal 1/60 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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))))))) 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)))))))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))) x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.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))))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (/.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)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (/.f64 #s(literal 1 binary64) x))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.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 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.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 (*.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)))))))) #s(literal 1 binary64)) (-.f64 (*.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)))))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.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 (*.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) (-.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 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.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 x x))) (*.f64 (+.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 x x))))) (-.f64 x (*.f64 (+.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 x x)))))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))))) x) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) #s(literal -2 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.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 x (*.f64 x #s(literal 1/5040 binary64))))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 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 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x))))))))
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
96.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
34 → 1
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(*.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (/.f64 #s(literal 1 binary64) x)))))
(*.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))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(/.f64 x (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.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)))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x)
(*.f64 x (*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
96.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Counts
30 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(*.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (/.f64 #s(literal 1 binary64) x)))))
(*.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))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(/.f64 x (/.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/60 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.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)))))) #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
96.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
23 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(*.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x)
Outputs
(*.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 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
96.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
21 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(*.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
Outputs
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
96.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(*.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
94.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
19 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(*.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
94.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(*.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) #s(literal 2 binary64))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
94.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(*.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
88.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
88.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
55.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.5715217852874802
43693.29815515874
Results
11.0ms144×0valid
Compiler

Compiled 319 to 199 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (53.9% of total)
ival-sub: 1.0ms (18% of total)
ival-div: 1.0ms (18% of total)
ival-neg: 1.0ms (18% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.5715217852874802
43693.29815515874
Results
11.0ms144×0valid
Compiler

Compiled 319 to 208 computations (34.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (47.6% of total)
ival-sub: 1.0ms (15.9% of total)
ival-div: 1.0ms (15.9% of total)
ival-neg: 1.0ms (15.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
0.5715217852874802
43693.29815515874
Results
22.0ms144×0valid
Compiler

Compiled 301 to 190 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 14.0ms (78.3% of total)
ival-exp: 3.0ms (16.8% of total)
ival-sub: 1.0ms (5.6% of total)
ival-neg: 1.0ms (5.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.5715217852874802
43693.29815515874
Results
14.0ms144×0valid
Compiler

Compiled 283 to 190 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (52.2% of total)
ival-exp: 3.0ms (31.3% of total)
ival-sub: 1.0ms (10.4% of total)
ival-neg: 1.0ms (10.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.5715217852874802
43693.29815515874
Results
10.0ms144×0valid
Compiler

Compiled 247 to 172 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (54.5% 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)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.5715217852874802
43693.29815515874
Results
10.0ms144×0valid
Compiler

Compiled 229 to 154 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (52.7% of total)
ival-sub: 1.0ms (17.6% of total)
ival-div: 1.0ms (17.6% of total)
ival-neg: 1.0ms (17.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.5715217852874802
43693.29815515874
Results
11.0ms144×0valid
Compiler

Compiled 121 to 82 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (42.4% of total)
ival-exp: 3.0ms (42.4% of total)
ival-sub: 1.0ms (14.1% of total)
ival-neg: 1.0ms (14.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
68×*-commutative_binary64
22×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072244
1120244
Stop Event
1×saturated
Calls
Call 1
Inputs
(sinh.f64 x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.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 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 15/2 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 15/2 binary64)) (*.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 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 6417629469002957/1125899906842624 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(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 x (*.f64 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 #s(literal 1/120 binary64) (*.f64 x (*.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 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
x
Outputs
(sinh.f64 x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.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 x (*.f64 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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 15/2 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 15/2 binary64)) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 15/2 binary64)) (*.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 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 6417629469002957/1125899906842624 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(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 x (*.f64 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 #s(literal 1/120 binary64) (*.f64 x (*.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 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
x

soundness2.5s (23.8%)

Rules
4260×*-lowering-*.f32
4260×*-lowering-*.f64
4026×*-lowering-*.f32
4026×*-lowering-*.f64
3562×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01332225
14431865
212931843
339051813
475671813
080941813
0717
14213
230113
0327313
074321
1222288
2671285
31941285
42957285
55503285
66295285
08198285
01682700
15772350
217852301
354322288
082482288
045276
1296228
22967221
08587221
01541711
14811472
215101450
349431424
081601424
023118
115099
2115897
0833897
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 694 to 369 computations (46.8% saved)

preprocess67.0ms (0.7%)

Remove

(negabs x)

Compiler

Compiled 520 to 166 computations (68.1% saved)

end0.0ms (0%)

Profiling

Loading profile data...