Hyperbolic secant

Time bar (total: 7.4s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 10 to 8 computations (20% saved)

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

sample643.0ms (8.7%)

Results
469.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 278.0ms
ival-exp: 112.0ms (40.3% of total)
ival-div: 67.0ms (24.1% of total)
ival-add: 48.0ms (17.3% of total)
ival-neg: 38.0ms (13.7% of total)
const: 11.0ms (4% of total)
backward-pass: 3.0ms (1.1% of total)
Bogosity

preprocess27.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
128×fmsub-define
120×fnmsub-define
112×fnmadd-define
80×fma-define
80×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
13024
26124
310824
419124
529424
638424
748224
852324
954124
1056524
1157324
078
1148
2218
3258
4348
5418
6498
7578
8608
9618
0618
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ 2 (+ (exp x) (exp (neg x))))
Outputs
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
Call 2
Inputs
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp (neg x)) (exp (neg (neg x)))))
(neg (/ 2 (+ (exp (neg x)) (exp (neg (neg x))))))
Outputs
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (recip (exp x))))
(/ 2 (+ (exp (neg x)) (exp (neg (neg x)))))
(/ 2 (+ (exp x) (recip (exp x))))
(neg (/ 2 (+ (exp (neg x)) (exp (neg (neg x))))))
(/ -2 (+ (exp x) (recip (exp x))))
Symmetry

(abs x)

explain73.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
44.0ms512×0valid
Compiler

Compiled 59 to 23 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-exp: 15.0ms (56.8% of total)
ival-div: 4.0ms (15.1% of total)
ival-add: 3.0ms (11.4% of total)
ival-neg: 3.0ms (11.4% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(exp.f64 (neg.f64 x))
✓cost-diff-64
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓cost-diff-64
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓cost-diff0
(exp.f64 x)
Rules
16×*-lowering-*.f32
16×*-lowering-*.f64
12×fma-lowering-fma.f32
12×fma-define
12×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
11423
22123
32523
43423
54123
64923
75723
86023
96123
06123
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 2 (+ (exp x) (exp (neg x))))
2
(+ (exp x) (exp (neg x)))
(exp x)
x
(exp (neg x))
(neg x)
Outputs
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
2
#s(literal 2 binary64)
(+ (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))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)

localize28.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
19.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 5.0ms (49.5% of total)
ival-div: 2.0ms (19.8% of total)
ival-add: 1.0ms (9.9% of total)
ival-neg: 1.0ms (9.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (exp x)>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (exp (neg x))>
#<alt (neg x)>
Outputs
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 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) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ 2 (+ (exp x) (exp (neg x))))
1.0ms
x
@-inf
(/ 2 (+ (exp x) (exp (neg x))))
1.0ms
x
@inf
(/ 2 (+ (exp x) (exp (neg x))))
0.0ms
x
@inf
(neg x)
0.0ms
x
@0
(exp x)

rewrite315.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
3916×*-lowering-*.f32
3916×*-lowering-*.f64
2488×/-lowering-/.f32
2488×/-lowering-/.f64
1922×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
13714
227714
3260514
0972814
Stop Event
1×iter limit
1×node limit
Counts
5 → 334
Calls
Call 1
Inputs
(exp x)
(/ 2 (+ (exp x) (exp (neg x))))
(+ (exp x) (exp (neg x)))
(exp (neg x))
(neg x)
Outputs
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -2 binary64))))
(/.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))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (exp.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (exp.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
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(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -3 binary64))))
(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)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) x)))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x))) (exp.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) x)) (exp.f64 (/.f64 (*.f64 x x) x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal -3/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.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 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 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 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.f64 (log.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (log.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) 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))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.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 (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) 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))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 x #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))

simplify209.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
2314×fma-lowering-fma.f32
2314×fma-lowering-fma.f64
2106×sum3-define
1968×sum4-define
1762×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066303
1170273
2461273
31285273
42689273
54425273
67125273
08048273
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 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) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64))))))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.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)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval45.0ms (0.6%)

Compiler

Compiled 7332 to 1189 computations (83.8% saved)

prune48.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3877394
Fresh000
Picked101
Done000
Total3887395
Accuracy
100.0%
Counts
395 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
92.6%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
▶77.7%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
▶100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶51.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
▶51.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
▶52.0%
#s(literal 1 binary64)
Compiler

Compiled 150 to 102 computations (32% saved)

simplify49.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓cost-diff0
(cosh.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Rules
342×fma-define
274×sum3-define
210×fma-lowering-fma.f32
210×fma-lowering-fma.f64
164×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01882
14576
29776
317476
422076
523076
623776
728776
860376
975276
1077376
1177776
1278676
1381876
1482376
082376
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (cosh x))
1
(cosh x)
x
1
(+ 1 (* x (* x -1/2)))
1
(* x (* x -1/2))
x
(* x -1/2)
-1/2
(/ 2 (+ 2 (* x x)))
2
(+ 2 (* x x))
(* x x)
x
(+ 1 (* x (* x (+ -1/2 (* (* x x) 5/24)))))
1
(* x (* x (+ -1/2 (* (* x x) 5/24))))
x
(* x (+ -1/2 (* (* x x) 5/24)))
(+ -1/2 (* (* x x) 5/24))
-1/2
(* (* x x) 5/24)
(* x x)
5/24
Outputs
(/ 1 (cosh x))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
1
#s(literal 1 binary64)
(cosh x)
(cosh.f64 x)
x
1
#s(literal 1 binary64)
(+ 1 (* x (* x -1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x -1/2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
x
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ 2 (+ 2 (* x x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* x x))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
(+ 1 (* x (* x (+ -1/2 (* (* x x) 5/24)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))))
1
#s(literal 1 binary64)
(* x (* x (+ -1/2 (* (* x x) 5/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))
x
(* x (+ -1/2 (* (* x x) 5/24)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))
(+ -1/2 (* (* x x) 5/24))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))
-1/2
#s(literal -1/2 binary64)
(* (* x x) 5/24)
(*.f64 x (*.f64 x #s(literal 5/24 binary64)))
(* x x)
(*.f64 x x)
5/24
#s(literal 5/24 binary64)

localize79.0ms (1.1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.5%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Results
53.0ms256×0valid
Compiler

Compiled 98 to 19 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 12.0ms (41.5% of total)
ival-add: 5.0ms (17.3% of total)
ival-div: 4.0ms (13.8% of total)
...c/correct-round.rkt:119:19: 4.0ms (13.8% of total)
ival-cosh: 3.0ms (10.4% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
13 → 156
Calls
Call 1
Inputs
#<alt (/ 1 (cosh x))>
#<alt (cosh x)>
#<alt (+ 1 (* x (* x -1/2)))>
#<alt (* x (* x -1/2))>
#<alt (* x -1/2)>
#<alt (/ 2 (+ 2 (* x x)))>
#<alt (+ 2 (* x x))>
#<alt (* x x)>
#<alt (+ 1 (* x (* x (+ -1/2 (* (* x x) 5/24)))))>
#<alt (* x (* x (+ -1/2 (* (* x x) 5/24))))>
#<alt (* x (+ -1/2 (* (* x x) 5/24)))>
#<alt (+ -1/2 (* (* x x) 5/24))>
#<alt (* (* x x) 5/24)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<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 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>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 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>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* 5/24 (pow x 3))>
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))>
#<alt -1/2>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ 1 (cosh x))
1.0ms
x
@0
(+ 1 (* x (* x (+ -1/2 (* (* x x) 5/24)))))
1.0ms
x
@-inf
(/ 1 (cosh x))
0.0ms
x
@inf
(+ 1 (* x (* x (+ -1/2 (* (* x x) 5/24)))))
0.0ms
x
@inf
(+ 1 (* x (* x -1/2)))

rewrite273.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4628×*-lowering-*.f32
4628×*-lowering-*.f64
2926×/-lowering-/.f32
2926×/-lowering-/.f64
1686×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01868
111362
284962
0842362
Stop Event
1×iter limit
1×node limit
Counts
13 → 450
Calls
Call 1
Inputs
(/ 1 (cosh x))
(cosh x)
(+ 1 (* x (* x -1/2)))
(* x (* x -1/2))
(* x -1/2)
(/ 2 (+ 2 (* x x)))
(+ 2 (* x x))
(* x x)
(+ 1 (* x (* x (+ -1/2 (* (* x x) 5/24)))))
(* x (* x (+ -1/2 (* (* x x) 5/24))))
(* x (+ -1/2 (* (* x x) 5/24)))
(+ -1/2 (* (* x x) 5/24))
(* (* x x) 5/24)
Outputs
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(cosh.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 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)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
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(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 15625/191102976 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) #s(literal 1/4 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 625/331776 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 125/13824 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -25/576 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 125/13824 binary64)))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -25/576 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 5/24 binary64))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))) (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1953125/2641807540224 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 125/13824 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 125/13824 binary64))) #s(literal -1/8 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 15625/191102976 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)))))) (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -125/13824 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 15625/191102976 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 625/331776 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))
(*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 125/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64))))))
(*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 125/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 5/48 binary64) (*.f64 x x))))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -25/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64))))))
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 125/13824 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 25/576 binary64)) #s(literal -5/48 binary64)))))))
(*.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -25/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 5/24 binary64)))))))
(*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 5/24 binary64))) #s(literal 1/2 binary64))))
(*.f64 x (*.f64 x #s(literal 5/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 5/24 binary64)) x)

simplify211.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
2206×*-lowering-*.f32
2206×*-lowering-*.f64
1398×sum3-define
1252×sum4-define
1180×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0961063
1257895
2731893
32326885
44789881
08142881
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 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))))
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
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 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
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 x)
(* x (- (* 5/24 (pow x 2)) 1/2))
(* x (- (* 5/24 (pow x 2)) 1/2))
(* x (- (* 5/24 (pow x 2)) 1/2))
(* 5/24 (pow x 3))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* 5/24 (pow x 2)) 1/2)
(- (* 5/24 (pow x 2)) 1/2)
(* 5/24 (pow x 2))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 2))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(* 1/2 (+ (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)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.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
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(* 5/24 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 5/24 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))
(* 5/24 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 5/24 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* x (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* x (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* 5/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* 5/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
-1/2
#s(literal -1/2 binary64)
(- (* 5/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(- (* 5/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(- (* 5/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))

eval68.0ms (0.9%)

Compiler

Compiled 15449 to 1566 computations (89.9% saved)

prune65.0ms (0.9%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New6196625
Fresh022
Picked055
Done000
Total61913632
Accuracy
100.0%
Counts
632 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.3%
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
27.4%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
▶52.4%
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
54.0%
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 x x))))))
88.9%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
▶92.6%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
✓77.7%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
▶29.2%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
▶88.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓51.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
✓51.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓52.0%
#s(literal 1 binary64)
Compiler

Compiled 393 to 213 computations (45.8% saved)

simplify199.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
✓cost-diff0
(-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
✓cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal -2 binary64))
✓cost-diff0
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
Rules
3780×*-lowering-*.f32
3780×*-lowering-*.f64
2736×+-lowering-+.f64
2736×+-lowering-+.f32
1688×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045380
1143301
2460297
31791295
47579295
08207295
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))))
2
(+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))))
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))
(* x x)
x
(+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))
1
(* x (* x (+ 1/12 (* (* x x) 1/360))))
(* x (+ 1/12 (* (* x x) 1/360)))
(+ 1/12 (* (* x x) 1/360))
1/12
(* (* x x) 1/360)
1/360
(/ 2 (* x x))
2
(* x x)
x
(/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))
1
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))
(* x (* x (+ 1/2 (* (* x x) 1/24))))
x
(* x (+ 1/2 (* (* x x) 1/24)))
(+ 1/2 (* (* x x) 1/24))
1/2
(* (* x x) 1/24)
(* x x)
1/24
(/ (+ 4 (* (* x x) -2)) (- 4 (* x (* x (* x x)))))
(+ 4 (* (* x x) -2))
4
(* (* x x) -2)
(* x x)
x
-2
(- 4 (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(/ (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))) (* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2))))))
(* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))))
2
(- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))
16
(* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))
(* x x)
x
(* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))
(+ (* x x) -2)
-2
(* x (* x (+ (* x x) -2)))
(* x (+ (* x x) -2))
(* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2)))))
(+ 8 (* (* x x) (* x (* x (* x x)))))
8
(* (* x x) (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(- 4 (* x (* x (+ (* x x) -2))))
4
Outputs
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
2
#s(literal 2 binary64)
(+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
1
#s(literal 1 binary64)
(* x (* x (+ 1/12 (* (* x x) 1/360))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* x (+ 1/12 (* (* x x) 1/360)))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(+ 1/12 (* (* x x) 1/360))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(* (* x x) 1/360)
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
(/ 2 (* x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x
(/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(* x (* x (+ 1/2 (* (* x x) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
x
(* x (+ 1/2 (* (* x x) 1/24)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(+ 1/2 (* (* x x) 1/24))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
1/2
#s(literal 1/2 binary64)
(* (* x x) 1/24)
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* x x)
(*.f64 x x)
1/24
#s(literal 1/24 binary64)
(/ (+ 4 (* (* x x) -2)) (- 4 (* x (* x (* x x)))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(+ 4 (* (* x x) -2))
(+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
4
#s(literal 4 binary64)
(* (* x x) -2)
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* x x)
(*.f64 x x)
x
-2
#s(literal -2 binary64)
(- 4 (* x (* x (* x x))))
(-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(/ (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))) (* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2))))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) (*.f64 x x))))))
(* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))))
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 x x))))))
2
#s(literal 2 binary64)
(- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))
(+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
16
#s(literal 16 binary64)
(* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
(* x x)
(*.f64 x x)
x
(* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(+ (* x x) -2)
(+.f64 (*.f64 x x) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* x (* x (+ (* x x) -2)))
(*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(* x (+ (* x x) -2))
(*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2)))))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(+ 8 (* (* x x) (* x (* x (* x x)))))
(+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
8
#s(literal 8 binary64)
(* (* x x) (* x (* x (* x x))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(- 4 (* x (* x (+ (* x x) -2))))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
4
#s(literal 4 binary64)

localize207.0ms (2.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
✓accuracy99.8%
(*.f64 x (*.f64 x x))
✓accuracy54.7%
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓accuracy100.0%
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.8%
(*.f64 x (*.f64 x x))
✓accuracy63.2%
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.4%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
✓accuracy99.9%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
Results
133.0ms256×0valid
Compiler

Compiled 474 to 46 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 39.0ms (52.5% of total)
...c/correct-round.rkt:119:19: 12.0ms (16.1% of total)
ival-add: 10.0ms (13.5% of total)
ival-div: 9.0ms (12.1% of total)
ival-sub: 4.0ms (5.4% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))))>
#<alt (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))))>
#<alt (* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))>
#<alt (* x x)>
#<alt (/ 2 (* x x))>
#<alt (/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))>
#<alt (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))>
#<alt (* x (* x (+ 1/2 (* (* x x) 1/24))))>
#<alt (* x (+ 1/2 (* (* x x) 1/24)))>
#<alt (/ (+ 4 (* (* x x) -2)) (- 4 (* x (* x (* x x)))))>
#<alt (+ 4 (* (* x x) -2))>
#<alt (* (* x x) -2)>
#<alt (/ (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))) (* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2))))))>
#<alt (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))))>
#<alt (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))>
#<alt (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))>
#<alt (* (* x x) 1/360)>
#<alt (* x (+ 1/12 (* (* x x) 1/360)))>
#<alt (* x (* x (+ 1/12 (* (* x x) 1/360))))>
#<alt (* (* x x) 1/24)>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<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 (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<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 (* 1/24 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 4>
#<alt (+ 4 (* -2 (pow x 2)))>
#<alt (+ 4 (* -2 (pow x 2)))>
#<alt (+ 4 (* -2 (pow x 2)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 32>
#<alt (+ 32 (* -8 (pow x 4)))>
#<alt (+ 32 (* (pow x 4) (- (* 8 (pow x 2)) 8)))>
#<alt (+ 32 (* (pow x 4) (- (* (pow x 2) (+ 8 (* -2 (pow x 2)))) 8)))>
#<alt (* -2 (pow x 8))>
#<alt (* (pow x 8) (- (* 8 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 8) (- (* 8 (/ 1 (pow x 2))) (+ 2 (/ 8 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 8 (/ 1 (pow x 2))) (* 32 (/ 1 (pow x 8)))) (+ 2 (/ 8 (pow x 4)))))>
#<alt (* -2 (pow x 8))>
#<alt (* (pow x 8) (- (* 8 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 8) (- (* 8 (/ 1 (pow x 2))) (+ 2 (/ 8 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 8 (/ 1 (pow x 2))) (* 32 (/ 1 (pow x 8)))) (+ 2 (/ 8 (pow x 4)))))>
#<alt 16>
#<alt (+ 16 (* -4 (pow x 4)))>
#<alt (+ 16 (* (pow x 4) (- (* 4 (pow x 2)) 4)))>
#<alt (+ 16 (* (pow x 4) (- (* (pow x 2) (+ 4 (* -1 (pow x 2)))) 4)))>
#<alt (* -1 (pow x 8))>
#<alt (* (pow x 8) (- (* 4 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 8) (- (* 4 (/ 1 (pow x 2))) (+ 1 (/ 4 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 8)))) (+ 1 (/ 4 (pow x 4)))))>
#<alt (* -1 (pow x 8))>
#<alt (* (pow x 8) (- (* 4 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 8) (- (* 4 (/ 1 (pow x 2))) (+ 1 (/ 4 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 8)))) (+ 1 (/ 4 (pow x 4)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* -4 (pow x 2))))>
#<alt (* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))>
#<alt (* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))>
#<alt (pow x 8)>
#<alt (* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (pow x 8)>
#<alt (* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (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 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)>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))) (* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2))))))
2.0ms
x
@inf
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))
1.0ms
x
@inf
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))))
0.0ms
x
@0
(/ (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))) (* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2))))))
0.0ms
x
@inf
(/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))

rewrite351.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
3080×*-lowering-*.f32
3080×*-lowering-*.f64
3026×fma-lowering-fma.f32
3026×fma-lowering-fma.f64
2124×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045241
1313176
22642174
08832174
Stop Event
1×iter limit
1×node limit
Counts
22 → 492
Calls
Call 1
Inputs
(/ 2 (+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))))
(+ 2 (* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360)))))))
(* (* x x) (+ 1 (* x (* x (+ 1/12 (* (* x x) 1/360))))))
(* x x)
(/ 2 (* x x))
(/ 1 (+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24))))))
(+ 1 (* x (* x (+ 1/2 (* (* x x) 1/24)))))
(* x (* x (+ 1/2 (* (* x x) 1/24))))
(* x (+ 1/2 (* (* x x) 1/24)))
(/ (+ 4 (* (* x x) -2)) (- 4 (* x (* x (* x x)))))
(+ 4 (* (* x x) -2))
(* (* x x) -2)
(/ (* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))) (* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2))))))
(* 2 (- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))))
(- 16 (* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2))))))
(* (* x x) (* (+ (* x x) -2) (* x (* x (+ (* x x) -2)))))
(* (* x x) 1/360)
(* x (+ 1/12 (* (* x x) 1/360)))
(* x (* x (+ 1/12 (* (* x x) 1/360))))
(* (* x x) 1/24)
(* x (* x x))
(* x (* x (* x x)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)))))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(+.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) #s(literal 2 binary64))
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(*.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 x x))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) x)
(*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) x) (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/360 binary64)) x)
(+.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 x #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))))) (neg.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) x)
(+.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) x))
(+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) x (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) x))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))))) (neg.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) x)
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) x)
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/24 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x))

simplify228.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
3478×*-lowering-*.f32
3478×*-lowering-*.f64
2594×+-lowering-+.f64
2594×+-lowering-+.f32
1512×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02102297
16161930
217221895
351341889
083551889
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
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)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(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)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
4
(+ 4 (* -2 (pow x 2)))
(+ 4 (* -2 (pow x 2)))
(+ 4 (* -2 (pow x 2)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 2))
(* (pow x 2) (- (* 4 (/ 1 (pow x 2))) 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
32
(+ 32 (* -8 (pow x 4)))
(+ 32 (* (pow x 4) (- (* 8 (pow x 2)) 8)))
(+ 32 (* (pow x 4) (- (* (pow x 2) (+ 8 (* -2 (pow x 2)))) 8)))
(* -2 (pow x 8))
(* (pow x 8) (- (* 8 (/ 1 (pow x 2))) 2))
(* (pow x 8) (- (* 8 (/ 1 (pow x 2))) (+ 2 (/ 8 (pow x 4)))))
(* (pow x 8) (- (+ (* 8 (/ 1 (pow x 2))) (* 32 (/ 1 (pow x 8)))) (+ 2 (/ 8 (pow x 4)))))
(* -2 (pow x 8))
(* (pow x 8) (- (* 8 (/ 1 (pow x 2))) 2))
(* (pow x 8) (- (* 8 (/ 1 (pow x 2))) (+ 2 (/ 8 (pow x 4)))))
(* (pow x 8) (- (+ (* 8 (/ 1 (pow x 2))) (* 32 (/ 1 (pow x 8)))) (+ 2 (/ 8 (pow x 4)))))
16
(+ 16 (* -4 (pow x 4)))
(+ 16 (* (pow x 4) (- (* 4 (pow x 2)) 4)))
(+ 16 (* (pow x 4) (- (* (pow x 2) (+ 4 (* -1 (pow x 2)))) 4)))
(* -1 (pow x 8))
(* (pow x 8) (- (* 4 (/ 1 (pow x 2))) 1))
(* (pow x 8) (- (* 4 (/ 1 (pow x 2))) (+ 1 (/ 4 (pow x 4)))))
(* (pow x 8) (- (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 8)))) (+ 1 (/ 4 (pow x 4)))))
(* -1 (pow x 8))
(* (pow x 8) (- (* 4 (/ 1 (pow x 2))) 1))
(* (pow x 8) (- (* 4 (/ 1 (pow x 2))) (+ 1 (/ 4 (pow x 4)))))
(* (pow x 8) (- (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 8)))) (+ 1 (/ 4 (pow x 4)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* -4 (pow x 2))))
(* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))
(* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))
(pow x 8)
(* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(pow x 8)
(* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(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 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)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (-.f64 #s(literal 720 binary64) (/.f64 #s(literal 21600 binary64) (*.f64 x x))) (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal -27648 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal -27648 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(* 1/24 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 1/24 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
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(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* 1/360 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* 1/360 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(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)))

eval129.0ms (1.7%)

Compiler

Compiled 35618 to 2561 computations (92.8% saved)

prune118.0ms (1.6%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New103891047
Fresh303
Picked415
Done055
Total1045151060
Accuracy
100.0%
Counts
1060 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶28.8%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
▶96.9%
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
40.4%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
▶88.9%
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
92.6%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) x)))
▶92.6%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x))))))
92.6%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
✓77.7%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓29.2%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
▶29.2%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓51.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
✓51.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
28.8%
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓52.0%
#s(literal 1 binary64)
Compiler

Compiled 315 to 203 computations (35.6% saved)

simplify150.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x)))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x))))))
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
✓cost-diff0
(-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓cost-diff0
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) x)
✓cost-diff0
(/.f64 x (/.f64 #s(literal 2 binary64) x))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
✓cost-diff0
(/.f64 #s(literal 2 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
✓cost-diff0
(+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
✓cost-diff0
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
Rules
2022×*-lowering-*.f32
2022×*-lowering-*.f64
1790×unsub-neg
1624×--lowering--.f32
1624×--lowering--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034237
193200
2256196
3804196
42697196
55973196
08015196
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 32 (* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2))))))
32
(* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2)))))
(+ 8 (* (* x x) (* x (* x (* x x)))))
8
(* (* x x) (* x (* x (* x x))))
(* x x)
x
(* x (* x (* x x)))
(* x (* x x))
(- 4 (* x (* x (+ (* x x) -2))))
4
(* x (* x (+ (* x x) -2)))
(* x (+ (* x x) -2))
(+ (* x x) -2)
-2
(/ (/ 2 x) x)
(/ 2 x)
2
x
(/ 1 (/ x (/ 2 x)))
1
(/ x (/ 2 x))
x
(/ 2 x)
2
(/ 4 (- 4 (* x (* x (* x x)))))
4
(- 4 (* x (* x (* x x))))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(/ 2 (+ 2 (* (* x x) (+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x))))))
2
(+ 2 (* (* x x) (+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x)))))
(* (* x x) (+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x))))
(* x x)
x
(+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x)))
1
(* (+ 1/12 (* x (* x 1/360))) (* x x))
(+ 1/12 (* x (* x 1/360)))
1/12
(* x (* x 1/360))
(* x 1/360)
1/360
Outputs
(/ 32 (* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) (*.f64 x x))))))
32
#s(literal 32 binary64)
(* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2)))))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(+ 8 (* (* x x) (* x (* x (* x x)))))
(+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
8
#s(literal 8 binary64)
(* (* x x) (* x (* x (* x x))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* x x)
(*.f64 x x)
x
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(- 4 (* x (* x (+ (* x x) -2))))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
4
#s(literal 4 binary64)
(* x (* x (+ (* x x) -2)))
(*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(* x (+ (* x x) -2))
(*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(+ (* x x) -2)
(+.f64 (*.f64 x x) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (/ 2 x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(/ 1 (/ x (/ 2 x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(/ x (/ 2 x))
(/.f64 x (/.f64 #s(literal 2 binary64) x))
x
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(/ 4 (- 4 (* x (* x (* x x)))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
4
#s(literal 4 binary64)
(- 4 (* x (* x (* x x))))
(-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 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)
(/ 2 (+ 2 (* (* x x) (+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
2
#s(literal 2 binary64)
(+ 2 (* (* x x) (+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* (* x x) (+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
1
#s(literal 1 binary64)
(* (+ 1/12 (* x (* x 1/360))) (* x x))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(+ 1/12 (* x (* x 1/360)))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(* x (* x 1/360))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* x 1/360)
(*.f64 x #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)

localize198.0ms (2.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x))))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
✓accuracy99.8%
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x))
✓accuracy99.7%
(*.f64 x #s(literal 1/360 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.8%
(*.f64 x (*.f64 x x))
✓accuracy99.1%
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
✓accuracy99.8%
(/.f64 x (/.f64 #s(literal 2 binary64) x))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.8%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
Results
139.0ms256×0valid
Compiler

Compiled 299 to 35 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
...c/correct-round.rkt:119:19: 28.0ms (38.4% of total)
ival-mult: 20.0ms (27.4% of total)
ival-div: 15.0ms (20.6% of total)
ival-add: 6.0ms (8.2% of total)
ival-sub: 3.0ms (4.1% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (/ 32 (* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2))))))>
#<alt (* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2)))))>
#<alt (+ 8 (* (* x x) (* x (* x (* x x)))))>
#<alt (* (* x x) (* x (* x (* x x))))>
#<alt (/ (/ 2 x) x)>
#<alt (/ 2 x)>
#<alt (/ 1 (/ x (/ 2 x)))>
#<alt (/ x (/ 2 x))>
#<alt (/ 4 (- 4 (* x (* x (* x x)))))>
#<alt (- 4 (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ 2 (+ 2 (* (* x x) (+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x))))))>
#<alt (+ 2 (* (* x x) (+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x)))))>
#<alt (* (* x x) (+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x))))>
#<alt (* x x)>
#<alt (* x 1/360)>
#<alt (* (+ 1/12 (* x (* x 1/360))) (* x x))>
#<alt (* x (* x 1/360))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))>
#<alt (/ -32 (pow x 10))>
#<alt (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 10)))>
#<alt (/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 2)))) (pow x 2))) 32) (pow x 10))>
#<alt (/ (- (* -1 (/ (+ 256 (* 512 (/ 1 (pow x 2)))) (pow x 4))) (+ 32 (* 64 (/ 1 (pow x 2))))) (pow x 10))>
#<alt (/ -32 (pow x 10))>
#<alt (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 10)))>
#<alt (/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 2)))) (pow x 2))) 32) (pow x 10))>
#<alt (/ (- (* -1 (/ (+ 256 (* 512 (/ 1 (pow x 2)))) (pow x 4))) (+ 32 (* 64 (/ 1 (pow x 2))))) (pow x 10))>
#<alt 32>
#<alt (+ 32 (* 16 (pow x 2)))>
#<alt (+ 32 (* (pow x 2) (+ 16 (* -8 (pow x 2)))))>
#<alt (+ 32 (* (pow x 2) (+ 16 (* (pow x 2) (- (* 4 (pow x 2)) 8)))))>
#<alt (* -1 (pow x 10))>
#<alt (* (pow x 10) (- (* 2 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) 1))>
#<alt (* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) (+ 1 (* 8 (/ 1 (pow x 6))))))>
#<alt (* -1 (pow x 10))>
#<alt (* (pow x 10) (- (* 2 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) 1))>
#<alt (* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) (+ 1 (* 8 (/ 1 (pow x 6))))))>
#<alt 8>
#<alt (+ 8 (pow x 6))>
#<alt (+ 8 (pow x 6))>
#<alt (+ 8 (pow x 6))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/4 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (+ 1/4 (* 1/16 (pow x 4)))))>
#<alt (+ 1 (* (pow x 4) (+ 1/4 (* (pow x 4) (+ 1/16 (* 1/64 (pow x 4)))))))>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16 (/ 1 (pow x 4)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 16 (* 64 (/ 1 (pow x 4)))) (pow x 4))) 4) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 4)))) (pow x 8))) (+ 4 (* 16 (/ 1 (pow x 4))))) (pow x 4))>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16 (/ 1 (pow x 4)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 16 (* 64 (/ 1 (pow x 4)))) (pow x 4))) 4) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 4)))) (pow x 8))) (+ 4 (* 16 (/ 1 (pow x 4))))) (pow x 4))>
#<alt 4>
#<alt (+ 4 (* -1 (pow x 4)))>
#<alt (+ 4 (* -1 (pow x 4)))>
#<alt (+ 4 (* -1 (pow x 4)))>
#<alt (* -1 (pow x 4))>
#<alt (* (pow x 4) (- (* 4 (/ 1 (pow x 4))) 1))>
#<alt (* (pow x 4) (- (* 4 (/ 1 (pow x 4))) 1))>
#<alt (* (pow x 4) (- (* 4 (/ 1 (pow x 4))) 1))>
#<alt (* -1 (pow x 4))>
#<alt (* (pow x 4) (- (* 4 (/ 1 (pow x 4))) 1))>
#<alt (* (pow x 4) (- (* 4 (/ 1 (pow x 4))) 1))>
#<alt (* (pow x 4) (- (* 4 (/ 1 (pow x 4))) 1))>
#<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>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<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 (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
Calls

57 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ 8 (* (* x x) (* x (* x (* x x)))))
0.0ms
x
@0
(* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2)))))
0.0ms
x
@inf
(/ 4 (- 4 (* x (* x (* x x)))))
0.0ms
x
@0
(/ 4 (- 4 (* x (* x (* x x)))))
0.0ms
x
@-inf
(* x 1/360)

rewrite433.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
3288×/-lowering-/.f32
3288×/-lowering-/.f64
2860×*-lowering-*.f32
2860×*-lowering-*.f64
2136×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034162
1224130
21792127
08302127
Stop Event
1×iter limit
1×node limit
Counts
19 → 561
Calls
Call 1
Inputs
(/ 32 (* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2))))))
(* (+ 8 (* (* x x) (* x (* x (* x x))))) (- 4 (* x (* x (+ (* x x) -2)))))
(+ 8 (* (* x x) (* x (* x (* x x)))))
(* (* x x) (* x (* x (* x x))))
(/ (/ 2 x) x)
(/ 2 x)
(/ 1 (/ x (/ 2 x)))
(/ x (/ 2 x))
(/ 4 (- 4 (* x (* x (* x x)))))
(- 4 (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(/ 2 (+ 2 (* (* x x) (+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x))))))
(+ 2 (* (* x x) (+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x)))))
(* (* x x) (+ 1 (* (+ 1/12 (* x (* x 1/360))) (* x x))))
(* x x)
(* x 1/360)
(* (+ 1/12 (* x (* x 1/360))) (* x x))
(* x (* x 1/360))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 #s(literal 32 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))))
(/.f64 #s(literal -32 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal -32 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))
(/.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(pow.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
(*.f64 #s(literal 32 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(*.f64 #s(literal -32 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))) #s(literal 32 binary64))
(*.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 32 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(*.f64 (/.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64))) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/46656000 binary64)))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/46656000 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/46656000 binary64))))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/46656000 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/129600 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) x)
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))) x)
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/360 binary64)) x)

simplify323.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
2858×*-lowering-*.f32
2858×*-lowering-*.f64
2190×+-lowering-+.f64
2190×+-lowering-+.f32
1680×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01771588
14951389
213751360
338961360
478661360
084171360
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
(/ -32 (pow x 10))
(* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 10)))
(/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 2)))) (pow x 2))) 32) (pow x 10))
(/ (- (* -1 (/ (+ 256 (* 512 (/ 1 (pow x 2)))) (pow x 4))) (+ 32 (* 64 (/ 1 (pow x 2))))) (pow x 10))
(/ -32 (pow x 10))
(* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 10)))
(/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 2)))) (pow x 2))) 32) (pow x 10))
(/ (- (* -1 (/ (+ 256 (* 512 (/ 1 (pow x 2)))) (pow x 4))) (+ 32 (* 64 (/ 1 (pow x 2))))) (pow x 10))
32
(+ 32 (* 16 (pow x 2)))
(+ 32 (* (pow x 2) (+ 16 (* -8 (pow x 2)))))
(+ 32 (* (pow x 2) (+ 16 (* (pow x 2) (- (* 4 (pow x 2)) 8)))))
(* -1 (pow x 10))
(* (pow x 10) (- (* 2 (/ 1 (pow x 2))) 1))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) 1))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) (+ 1 (* 8 (/ 1 (pow x 6))))))
(* -1 (pow x 10))
(* (pow x 10) (- (* 2 (/ 1 (pow x 2))) 1))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) 1))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) (+ 1 (* 8 (/ 1 (pow x 6))))))
8
(+ 8 (pow x 6))
(+ 8 (pow x 6))
(+ 8 (pow x 6))
(pow x 6)
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(pow x 6)
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1 (* 8 (/ 1 (pow x 6)))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
1
(+ 1 (* 1/4 (pow x 4)))
(+ 1 (* (pow x 4) (+ 1/4 (* 1/16 (pow x 4)))))
(+ 1 (* (pow x 4) (+ 1/4 (* (pow x 4) (+ 1/16 (* 1/64 (pow x 4)))))))
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 16 (* 64 (/ 1 (pow x 4)))) (pow x 4))) 4) (pow x 4))
(/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 4)))) (pow x 8))) (+ 4 (* 16 (/ 1 (pow x 4))))) (pow x 4))
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 16 (* 64 (/ 1 (pow x 4)))) (pow x 4))) 4) (pow x 4))
(/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 4)))) (pow x 8))) (+ 4 (* 16 (/ 1 (pow x 4))))) (pow x 4))
4
(+ 4 (* -1 (pow x 4)))
(+ 4 (* -1 (pow x 4)))
(+ 4 (* -1 (pow x 4)))
(* -1 (pow x 4))
(* (pow x 4) (- (* 4 (/ 1 (pow x 4))) 1))
(* (pow x 4) (- (* 4 (/ 1 (pow x 4))) 1))
(* (pow x 4) (- (* 4 (/ 1 (pow x 4))) 1))
(* -1 (pow x 4))
(* (pow x 4) (- (* 4 (/ 1 (pow x 4))) 1))
(* (pow x 4) (- (* 4 (/ 1 (pow x 4))) 1))
(* (pow x 4) (- (* 4 (/ 1 (pow x 4))) 1))
(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
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
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)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(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)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(/ -32 (pow x 10))
(/.f64 #s(literal -32 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 10)))
(/.f64 (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -64 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 2)))) (pow x 2))) 32) (pow x 10))
(/.f64 (+.f64 #s(literal -32 binary64) (/.f64 (+.f64 #s(literal -64 binary64) (/.f64 #s(literal -256 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(/ (- (* -1 (/ (+ 256 (* 512 (/ 1 (pow x 2)))) (pow x 4))) (+ 32 (* 64 (/ 1 (pow x 2))))) (pow x 10))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -256 binary64) (/.f64 #s(literal -512 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -64 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 10 binary64)))
(/ -32 (pow x 10))
(/.f64 #s(literal -32 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 10)))
(/.f64 (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -64 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(/ (- (* -1 (/ (+ 64 (* 256 (/ 1 (pow x 2)))) (pow x 2))) 32) (pow x 10))
(/.f64 (+.f64 #s(literal -32 binary64) (/.f64 (+.f64 #s(literal -64 binary64) (/.f64 #s(literal -256 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(/ (- (* -1 (/ (+ 256 (* 512 (/ 1 (pow x 2)))) (pow x 4))) (+ 32 (* 64 (/ 1 (pow x 2))))) (pow x 10))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -256 binary64) (/.f64 #s(literal -512 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -64 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 10 binary64)))
32
#s(literal 32 binary64)
(+ 32 (* 16 (pow x 2)))
(+.f64 #s(literal 32 binary64) (*.f64 x (*.f64 x #s(literal 16 binary64))))
(+ 32 (* (pow x 2) (+ 16 (* -8 (pow x 2)))))
(+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) #s(literal -8 binary64)))))
(+ 32 (* (pow x 2) (+ 16 (* (pow x 2) (- (* 4 (pow x 2)) 8)))))
(+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64))))))))
(* -1 (pow x 10))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (* 2 (/ 1 (pow x 2))) 1))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) 1))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 10) (- (+ (* 2 (/ 1 (pow x 2))) (/ 4 (pow x 4))) (+ 1 (* 8 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* -1 (pow x 10))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (* 2 (/ 1 (pow x 2))) 1))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
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(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* 1/360 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))

eval156.0ms (2.1%)

Compiler

Compiled 27034 to 2264 computations (91.6% saved)

prune107.0ms (1.4%)

Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New96611977
Fresh224
Picked235
Done066
Total97022992
Accuracy
100.0%
Counts
992 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓28.8%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
50.9%
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
55.5%
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))
52.0%
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -8 binary64))))))
52.0%
(/.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -8 binary64)))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))))))
92.6%
(/.f64 #s(literal 32 binary64) (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))))
96.9%
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓96.9%
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
88.9%
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
92.6%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))))))
92.6%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
✓77.7%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓29.2%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓29.2%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
38.9%
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓51.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
✓51.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
52.0%
(*.f64 (/.f64 (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))
52.4%
(*.f64 (/.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
28.8%
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓52.0%
#s(literal 1 binary64)
Compiler

Compiled 1552 to 444 computations (71.4% saved)

regimes56.0ms (0.8%)

Counts
34 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) x)))
(/.f64 #s(literal 32 binary64) (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(*.f64 (/.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -8 binary64))))))
(/.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -8 binary64)))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))))))
(*.f64 (/.f64 (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

37.0ms
x
7.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Counts
32 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) x)))
(/.f64 #s(literal 32 binary64) (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(*.f64 (/.f64 (/.f64 #s(literal 32 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 32 binary64) (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -8 binary64))))))
(/.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -8 binary64)))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))))))
(*.f64 (/.f64 (/.f64 #s(literal 32 binary64) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))))
Outputs
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
96.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes27.0ms (0.4%)

Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))) x)))
(/.f64 #s(literal 32 binary64) (+.f64 #s(literal 32 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
Calls

1 calls:

25.0ms
x
Results
AccuracySegmentsBranch
92.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)))))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
92.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
88.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))))
Outputs
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
88.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
89.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
77.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
77.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
77.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
52.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.0005740468287233434
5126.105924518911
Results
9.0ms144×0valid
Compiler

Compiled 193 to 127 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (52.4% of total)
ival-div: 1.0ms (17.5% of total)
ival-add: 1.0ms (17.5% of total)
ival-neg: 1.0ms (17.5% 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
14.0ms
0.0005740468287233434
5126.105924518911
Results
9.0ms144×0valid
Compiler

Compiled 157 to 118 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (53.2% of total)
ival-div: 1.0ms (17.7% of total)
ival-add: 1.0ms (17.7% of total)
ival-neg: 1.0ms (17.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.0005740468287233434
5126.105924518911
Results
9.0ms144×0valid
Compiler

Compiled 103 to 82 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (54.5% of total)
ival-div: 1.0ms (18.2% of total)
ival-add: 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)

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
52×*-commutative_binary64
42×+-commutative_binary64
20×sub-neg_binary64
18×distribute-lft-neg-in_binary64
18×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064151
1105151
2124151
3144151
4160151
5170151
6174151
7175151
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 700 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 32 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 700 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 700 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)

soundness2.4s (32.1%)

Rules
4628×*-lowering-*.f32
4628×*-lowering-*.f64
3916×*-lowering-*.f32
3916×*-lowering-*.f64
3478×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0961063
1257895
2731893
32326885
44789881
08142881
066303
1170273
2461273
31285273
42689273
54425273
67125273
08048273
01771588
14951389
213751360
338961360
478661360
084171360
02102297
16161930
217221895
351341889
083551889
0717
13714
227714
3260514
0972814
01868
111362
284962
0842362
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 387 to 215 computations (44.4% saved)

preprocess56.0ms (0.8%)

Remove

(abs x)

Compiler

Compiled 342 to 158 computations (53.8% saved)

end0.0ms (0%)

Profiling

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