ln(1 + x)

Time bar (total: 10.2s)

analyze2.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
33.3%25%50%0%0%25%0%3
66.7%50%25%0%0%25%0%4
83.3%62.5%12.5%0%0%25%0%5
91.7%68.7%6.2%0%0%25%0%6
95.8%71.8%3.1%0%0%25%0%7
97.9%73.4%1.6%0%0%25%0%8
99%74.2%0.8%0%0%25%0%9
99.5%74.6%0.4%0%0%25%0%10
99.7%74.8%0.2%0%0%25%0%11
99.9%74.9%0.1%0%0%25%0%12
Compiler

Compiled 6 to 5 computations (16.7% saved)

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

sample1.7s (16.3%)

Results
743.0ms4099×1valid
399.0ms1309×2valid
264.0ms2848×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 944.0ms
ival-log: 713.0ms (75.5% of total)
ival-add: 133.0ms (14.1% of total)
backward-pass: 81.0ms (8.6% of total)
const: 17.0ms (1.8% of total)
Bogosity

preprocess20.0ms (0.2%)

Algorithm
egg-herbie
Rules
52×sum3-define
20×sub-neg
16×fma-define
16×fmsub-define
14×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1209
2289
3389
4579
5779
6989
71189
81209
042
182
082
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(log (+ 1 x))
Outputs
(log (+ 1 x))
(log1p.f64 x)
Call 2
Inputs
(log (+ 1 x))
(log (+ 1 (neg x)))
(neg (log (+ 1 (neg x))))
Outputs
(log (+ 1 x))
(log1p x)
(log (+ 1 (neg x)))
(log1p (neg x))
(neg (log (+ 1 (neg x))))
(neg (log1p (neg x)))

explain116.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1771(-0.004861767903326257)0-(log.f64 (+.f64 #s(literal 1 binary64) x))
00-0-x
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) x)
Results
58.0ms262×1valid
28.0ms88×2valid
8.0ms162×0valid
Compiler

Compiled 27 to 14 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-log: 53.0ms (79.7% of total)
ival-add: 7.0ms (10.5% of total)
backward-pass: 6.0ms (9% of total)
const: 1.0ms (1.5% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 2 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 x)
35.3%
(log.f64 (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 x)
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) x))
Rules
+-lowering-+.f64
+-lowering-+.f32
log1p-lowering-log1p.f32
log-lowering-log.f64
log1p-lowering-log1p.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
1810
0810
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(log (+ 1 x))
(+ 1 x)
1
x
(log (+ 1 x))
x
Outputs
(log (+ 1 x))
(log1p.f64 x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(log (+ 1 x))
(log1p.f64 x)
x

localize106.0ms (1%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log1p.f64 x)
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy99.7%
(log.f64 (+.f64 #s(literal 1 binary64) x))
Results
87.0ms175×5exit
6.0ms81×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-log: 41.0ms (64.4% of total)
backward-pass: 10.0ms (15.7% of total)
ival-add: 6.0ms (9.4% of total)
compiled-spec: 6.0ms (9.4% of total)
const: 1.0ms (1.6% of total)

series2.0ms (0%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (log (+ 1 x))>
#<alt (+ 1 x)>
#<alt (log (+ 1 x))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log (+ 1 x))
0.0ms
x
@-inf
(log (+ 1 x))
0.0ms
x
@inf
(log (+ 1 x))
0.0ms
x
@inf
(+ 1 x)
0.0ms
x
@-inf
(+ 1 x)

rewrite715.0ms (7%)

Algorithm
batch-egg-rewrite
Rules
3862×/-lowering-/.f32
3862×/-lowering-/.f64
3086×*-lowering-*.f32
3086×*-lowering-*.f64
1778×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1217
21417
310937
083777
Stop Event
iter limit
node limit
Counts
3 → 311
Calls
Call 1
Inputs
(log (+ 1 x))
(+ 1 x)
(log (+ 1 x))
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (*.f64 x (*.f64 x x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) (log1p.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
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(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x))))) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))))))
(log1p.f64 x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))

simplify189.0ms (1.9%)

Algorithm
egg-herbie
Rules
1994×fma-lowering-fma.f32
1994×fma-lowering-fma.f64
1970×fmsub-define
1908×sum3-define
1776×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062296
1188252
2458240
31230236
43932236
08232236
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))

eval42.0ms (0.4%)

Compiler

Compiled 10185 to 919 computations (91% saved)

prune129.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3434347
Fresh000
Picked022
Done000
Total3436349
Accuracy
100.0%
Counts
349 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
71.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
69.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
100.0%
(log1p.f64 x)
35.3%
(log.f64 (+.f64 #s(literal 1 binary64) x))
70.7%
x
Compiler

Compiled 46 to 34 computations (26.1% saved)

simplify47.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
Rules
1430×fma-define
1068×fma-lowering-fma.f32
1068×fma-lowering-fma.f64
336×*-lowering-*.f32
336×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020126
166106
2184103
3457103
4967103
51391103
61552103
71554103
01554103
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
x
(* x (+ 1 (* x -1/2)))
x
(+ 1 (* x -1/2))
1
(* x -1/2)
-1/2
(* x (+ 1 (* x (+ -1/2 (* x 1/3)))))
x
(+ 1 (* x (+ -1/2 (* x 1/3))))
1
(* x (+ -1/2 (* x 1/3)))
(+ -1/2 (* x 1/3))
-1/2
(* x 1/3)
1/3
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
x
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
1
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
-1/2
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
1/3
(* x -1/4)
-1/4
Outputs
x
(* x (+ 1 (* x -1/2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
x
(+ 1 (* x -1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* x (+ 1 (* x (+ -1/2 (* x 1/3)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
x
(+ 1 (* x (+ -1/2 (* x 1/3))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
1
#s(literal 1 binary64)
(* x (+ -1/2 (* x 1/3)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(+ -1/2 (* x 1/3))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
x
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
1
#s(literal 1 binary64)
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* x (+ 1/3 (* x -1/4)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(+ 1/3 (* x -1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
1/3
#s(literal 1/3 binary64)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)

localize254.0ms (2.5%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
accuracy100.0%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
accuracy100.0%
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
accuracy99.9%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
accuracy99.5%
(*.f64 x #s(literal 1/3 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
Results
190.0ms256×0valid
Compiler

Compiled 128 to 21 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 34.0ms (73.8% of total)
ival-add: 7.0ms (15.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (8.7% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
14 → 168
Calls
Call 1
Inputs
#<alt (* x (+ 1 (* x -1/2)))>
#<alt (+ 1 (* x -1/2))>
#<alt (* x -1/2)>
#<alt (* x (+ 1 (* x (+ -1/2 (* x 1/3)))))>
#<alt (+ 1 (* x (+ -1/2 (* x 1/3))))>
#<alt (* x (+ -1/2 (* x 1/3)))>
#<alt (+ -1/2 (* x 1/3))>
#<alt (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))>
#<alt (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))>
#<alt (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))>
#<alt (+ -1/2 (* x (+ 1/3 (* x -1/4))))>
#<alt (* x 1/3)>
#<alt (* x (+ 1/3 (* x -1/4)))>
#<alt (+ 1/3 (* x -1/4))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* -1/2 x))>
#<alt (* -1/2 x)>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- 1/2 (/ 1 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 (* -1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x 1/3)
1.0ms
x
@0
(* x (+ 1 (* x (+ -1/2 (* x 1/3)))))
1.0ms
x
@inf
(* x (+ 1 (* x -1/2)))
0.0ms
x
@0
(* x (+ 1 (* x -1/2)))
0.0ms
x
@-inf
(* x (+ 1 (* x -1/2)))

rewrite355.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
3810×*-lowering-*.f32
3810×*-lowering-*.f64
3484×/-lowering-/.f32
3484×/-lowering-/.f64
1980×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020110
113790
2128887
0812687
Stop Event
iter limit
node limit
Counts
14 → 510
Calls
Call 1
Inputs
(* x (+ 1 (* x -1/2)))
(+ 1 (* x -1/2))
(* x -1/2)
(* x (+ 1 (* x (+ -1/2 (* x 1/3)))))
(+ 1 (* x (+ -1/2 (* x 1/3))))
(* x (+ -1/2 (* x 1/3)))
(+ -1/2 (* x 1/3))
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(* x 1/3)
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
Outputs
(+.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
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(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/9 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/19683 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (*.f64 #s(literal -1/1728 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/81 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(*.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))

simplify292.0ms (2.9%)

Algorithm
egg-herbie
Rules
2658×*-lowering-*.f32
2658×*-lowering-*.f64
1632×+-lowering-+.f64
1632×+-lowering-+.f32
1110×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01071108
1322992
21068913
33973879
08307879
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
1
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 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)
(* -1/2 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 x)
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (/ 1 x) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* x (- (/ 1 x) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* x (- (/ 1 x) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (- 1/2 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (- 1/2 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* 1/3 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
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1
#s(literal 1 binary64)
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-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
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(- (* 1/3 x) 1/2)
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(- (* 1/3 x) 1/2)
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(* 1/3 x)
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(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
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x
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(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
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(* -1/4 (pow x 4))
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(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
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(* -1/4 (pow x 4))
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(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
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(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
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(+ 1 (* x (- (* 1/3 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
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(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
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(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
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(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
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(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
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(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/3 x) 1/2))
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(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
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(*.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
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(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
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(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
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(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(* -1/4 (pow x 2))
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(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))
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(* 1/3 x)
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(* 1/3 x)
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(* 1/3 x)
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(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
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(* 1/3 x)
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(* 1/3 x)
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(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
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(* 1/3 x)
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(* 1/3 x)
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(* 1/3 x)
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(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
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(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
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(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
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(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))
(+ 1/3 (* -1/4 x))
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))
(+ 1/3 (* -1/4 x))
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* -1/4 x)
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(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))
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(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))

eval90.0ms (0.9%)

Compiler

Compiled 19647 to 2186 computations (88.9% saved)

prune78.0ms (0.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New6699678
Fresh000
Picked314
Done022
Total67212684
Accuracy
100.0%
Counts
684 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.0%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
69.9%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
69.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x)))
34.5%
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))))
70.2%
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x)
71.0%
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x)
69.9%
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)
70.1%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64))))
70.0%
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))))
100.0%
(log1p.f64 x)
35.3%
(log.f64 (+.f64 #s(literal 1 binary64) x))
70.7%
x
Compiler

Compiled 470 to 217 computations (53.8% saved)

simplify208.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
cost-diff128
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x)))
cost-diff0
(+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff128
(+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64)))
cost-diff128
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64))))
cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
cost-diff0
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)
cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
cost-diff0
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x)
Rules
3950×*-lowering-*.f32
3950×*-lowering-*.f64
2286×fma-lowering-fma.f32
2286×fma-lowering-fma.f64
2132×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033380
1112290
2367280
31492275
47897275
08604275
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* x (* x (+ -1/2 (* x 1/3)))) x)
(* x (* x (+ -1/2 (* x 1/3))))
x
(* x (+ -1/2 (* x 1/3)))
(+ -1/2 (* x 1/3))
-1/2
(* x 1/3)
1/3
(+ (* x (* x -1/2)) x)
(* x (* x -1/2))
x
(* x -1/2)
-1/2
(/ x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/3))))))
x
(/ 1 (+ 1 (* x (+ -1/2 (* x 1/3)))))
1
(+ 1 (* x (+ -1/2 (* x 1/3))))
(* x (+ -1/2 (* x 1/3)))
(+ -1/2 (* x 1/3))
-1/2
(* x 1/3)
1/3
(* x (+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)))
x
(+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1))
(* x -1/2)
-1/2
(+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)
(* (+ 1/3 (* x -1/4)) (* x x))
(+ 1/3 (* x -1/4))
1/3
(* x -1/4)
-1/4
(* x x)
1
(/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)))
1
(/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x))
(- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
x
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
-1/2
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
1/3
(* x -1/4)
-1/4
(* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)
(- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))
(* x x)
Outputs
(+ (* x (* x (+ -1/2 (* x 1/3)))) x)
(*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(* x (* x (+ -1/2 (* x 1/3))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))
x
(* x (+ -1/2 (* x 1/3)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(+ -1/2 (* x 1/3))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ (* x (* x -1/2)) x)
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (* x -1/2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
x
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/3))))))
(*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
x
(/ 1 (+ 1 (* x (+ -1/2 (* x 1/3)))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* x (+ -1/2 (* x 1/3))))
(+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(* x (+ -1/2 (* x 1/3)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(+ -1/2 (* x 1/3))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* x (+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
x
(+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(* (+ 1/3 (* x -1/4)) (* x x))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(+ 1/3 (* x -1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
1/3
#s(literal 1/3 binary64)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)
(/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
1
#s(literal 1 binary64)
(/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))))
(- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
x
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* x (+ 1/3 (* x -1/4)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(+ 1/3 (* x -1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
1/3
#s(literal 1/3 binary64)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))))
(- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))
(*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(* x x)
(*.f64 x x)

localize167.0ms (1.6%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x)))
accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
accuracy78.6%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x))
accuracy100.0%
(+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64)))
accuracy100.0%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
accuracy99.9%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64))))
accuracy99.8%
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x))
accuracy100.0%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
accuracy99.9%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
accuracy99.5%
(*.f64 x #s(literal 1/3 binary64))
accuracy100.0%
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)
accuracy100.0%
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
accuracy99.9%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
accuracy99.5%
(*.f64 x #s(literal 1/3 binary64))
Results
99.0ms256×0valid
Compiler

Compiled 408 to 34 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 25.0ms (45.2% of total)
ival-add: 16.0ms (29% of total)
ival-div: 7.0ms (12.7% of total)
...c/correct-round.rkt:119:19: 4.0ms (7.2% of total)
ival-sub: 3.0ms (5.4% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (+ (* x (* x (+ -1/2 (* x 1/3)))) x)>
#<alt (* x (* x (+ -1/2 (* x 1/3))))>
#<alt (* x (+ -1/2 (* x 1/3)))>
#<alt (+ -1/2 (* x 1/3))>
#<alt (+ (* x (* x -1/2)) x)>
#<alt (* x (* x -1/2))>
#<alt (* x -1/2)>
#<alt (/ x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/3))))))>
#<alt (/ 1 (+ 1 (* x (+ -1/2 (* x 1/3)))))>
#<alt (+ 1 (* x (+ -1/2 (* x 1/3))))>
#<alt (* x (+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)))>
#<alt (+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1))>
#<alt (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)>
#<alt (/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)))>
#<alt (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x))>
#<alt (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))>
#<alt (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))>
#<alt (* x 1/3)>
#<alt (* (+ 1/3 (* x -1/4)) (* x x))>
#<alt (+ 1/3 (* x -1/4))>
#<alt (* x (+ 1/3 (* x -1/4)))>
#<alt (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 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 x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12)))))>
#<alt (/ 3 (pow x 2))>
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 2))>
#<alt (/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 2))>
#<alt (/ 3 (pow x 2))>
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 3 (* -1 (/ (- (* 9/4 (/ 1 x)) 9/2) x))) (pow x 2))>
#<alt (/ (+ 3 (* -1 (/ (- (+ (* 9/4 (/ 1 x)) (/ 135/8 (pow x 2))) 9/2) x))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/3 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/4 x) 1/3)))))>
#<alt (* 1/4 (pow x 3))>
#<alt (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/4 (/ 1/2 (pow x 2))) (* 1/3 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/3 (/ 1 x))))>
#<alt (* 1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* -1/4 x)))>
#<alt (* (pow x 2) (+ 1/3 (* -1/4 x)))>
#<alt (* (pow x 2) (+ 1/3 (* -1/4 x)))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
Calls

66 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)))
0.0ms
x
@-inf
(/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)))
0.0ms
x
@0
(/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)))
0.0ms
x
@inf
(/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x))
0.0ms
x
@inf
(+ (* x (* x (+ -1/2 (* x 1/3)))) x)

rewrite394.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
3152×/-lowering-/.f32
3152×/-lowering-/.f64
3046×*-lowering-*.f32
3046×*-lowering-*.f64
2176×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033220
1254165
22395161
08490161
Stop Event
iter limit
node limit
Counts
22 → 917
Calls
Call 1
Inputs
(+ (* x (* x (+ -1/2 (* x 1/3)))) x)
(* x (* x (+ -1/2 (* x 1/3))))
(* x (+ -1/2 (* x 1/3)))
(+ -1/2 (* x 1/3))
(+ (* x (* x -1/2)) x)
(* x (* x -1/2))
(* x -1/2)
(/ x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/3))))))
(/ 1 (+ 1 (* x (+ -1/2 (* x 1/3)))))
(+ 1 (* x (+ -1/2 (* x 1/3))))
(* x (+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)))
(+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1))
(+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)
(/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)))
(/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x))
(- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(* x 1/3)
(* (+ 1/3 (* x -1/4)) (* x x))
(+ 1/3 (* x -1/4))
(* x (+ 1/3 (* x -1/4)))
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))
Outputs
(+.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x)
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))))
(fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) x)
(fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x) x)
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) x x)
(fma.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) x)
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) x))
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(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) x)) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) x)
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 x x)) (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) x)

simplify245.0ms (2.4%)

Algorithm
egg-herbie
Rules
4304×*-lowering-*.f32
4304×*-lowering-*.f64
2118×fma-lowering-fma.f32
2118×fma-lowering-fma.f64
1826×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02292152
16891936
221161909
370171905
083471905
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 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)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12)))))
(/ 3 (pow x 2))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2))
(/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 2))
(/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 2))
(/ 3 (pow x 2))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2))
(/ (+ 3 (* -1 (/ (- (* 9/4 (/ 1 x)) 9/2) x))) (pow x 2))
(/ (+ 3 (* -1 (/ (- (+ (* 9/4 (/ 1 x)) (/ 135/8 (pow x 2))) 9/2) x))) (pow x 2))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x))))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x))))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))
(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))
(/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/3 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/4 x) 1/3)))))
(* 1/4 (pow x 3))
(* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))
(* (pow x 3) (- (+ 1/4 (/ 1/2 (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow x 3) (- (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/3 (/ 1 x))))
(* 1/4 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4)))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
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(* 1/3 x)
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1/4 x)))
(* (pow x 2) (+ 1/3 (* -1/4 x)))
(* (pow x 2) (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 x)
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/3 x) 1/2))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))
(* (pow x 2) (- (* 1/3 x) 1/2))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))
(* (pow x 2) (- (* 1/3 x) 1/2))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/3 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* x (- (* 1/3 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* x (- (* 1/3 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
(- (* 1/3 x) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
(- (* 1/3 x) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) 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 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal -5/24 binary64)))))))
(/ 3 (pow x 2))
(/.f64 #s(literal 3 binary64) (*.f64 x x))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) (*.f64 x x))
(/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) x)) (*.f64 x x))
(/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 9/2 binary64) x) (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal -135/8 binary64) x)) (*.f64 x x)))) (*.f64 x x))
(/ 3 (pow x 2))
(/.f64 #s(literal 3 binary64) (*.f64 x x))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) (*.f64 x x))
(/ (+ 3 (* -1 (/ (- (* 9/4 (/ 1 x)) 9/2) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) x)) (*.f64 x x))
(/ (+ 3 (* -1 (/ (- (+ (* 9/4 (/ 1 x)) (/ 135/8 (pow x 2))) 9/2) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/4 binary64) x) (+.f64 (/.f64 #s(literal 135/8 binary64) (*.f64 x x)) #s(literal -9/2 binary64))) x)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(*.f64 x (*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(*.f64 x (*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
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(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))

eval204.0ms (2%)

Compiler

Compiled 57401 to 3995 computations (93% saved)

prune132.0ms (1.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New146551470
Fresh314
Picked505
Done033
Total147391482
Accuracy
100.0%
Counts
1482 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.6%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))))
74.0%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
71.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x))
73.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
70.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
70.2%
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x)
100.0%
(log1p.f64 x)
35.3%
(log.f64 (+.f64 #s(literal 1 binary64) x))
70.7%
x
Compiler

Compiled 150 to 107 computations (28.7% saved)

simplify248.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
cost-diff0
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))
cost-diff0
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x)
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))
cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
cost-diff128
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
Rules
3520×*-lowering-*.f32
3520×*-lowering-*.f64
1908×+-lowering-+.f64
1908×+-lowering-+.f32
1812×fma-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026142
162123
2190123
3433123
41116123
51983118
62606118
73189118
84059118
94834118
105953118
116992118
127830118
08002118
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ x (+ 1 (* x 1/2)))
x
(+ 1 (* x 1/2))
1
(* x 1/2)
1/2
(/ 1 (/ 1 x))
1
(/ 1 x)
x
(/ 1 (/ (+ 1 (* x 1/2)) x))
1
(/ (+ 1 (* x 1/2)) x)
(+ 1 (* x 1/2))
(* x 1/2)
x
1/2
(/ x (+ 1 (* x (+ 1/2 (* x -1/12)))))
x
(+ 1 (* x (+ 1/2 (* x -1/12))))
1
(* x (+ 1/2 (* x -1/12)))
(+ 1/2 (* x -1/12))
1/2
(* x -1/12)
-1/12
(+ (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) x)
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
-1/2
(* x (+ 1/3 (* x -1/4)))
x
(+ 1/3 (* x -1/4))
1/3
(* x -1/4)
-1/4
(* x x)
Outputs
(/ x (+ 1 (* x 1/2)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
x
(+ 1 (* x 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (/ 1 x))
x
1
#s(literal 1 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ 1 (/ (+ 1 (* x 1/2)) x))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(/ (+ 1 (* x 1/2)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1 (* x 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(/ x (+ 1 (* x (+ 1/2 (* x -1/12)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
x
(+ 1 (* x (+ 1/2 (* x -1/12))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (* x -1/12)))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (* x -1/12))
(+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* x -1/12)
(*.f64 x #s(literal -1/12 binary64))
-1/12
#s(literal -1/12 binary64)
(+ (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* x (+ 1/3 (* x -1/4)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
x
(+ 1/3 (* x -1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
1/3
#s(literal 1/3 binary64)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* x x)
(*.f64 x x)

localize112.0ms (1.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x)
accuracy100.0%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
accuracy99.9%
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))
accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))
accuracy99.5%
(*.f64 x #s(literal -1/12 binary64))
accuracy86.5%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
Results
76.0ms256×0valid
Compiler

Compiled 155 to 27 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 14.0ms (31.7% of total)
ival-mult: 13.0ms (29.4% of total)
...c/correct-round.rkt:119:19: 9.0ms (20.4% of total)
ival-add: 8.0ms (18.1% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (/ x (+ 1 (* x 1/2)))>
#<alt (+ 1 (* x 1/2))>
#<alt (* x 1/2)>
#<alt (/ 1 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ 1 (/ (+ 1 (* x 1/2)) x))>
#<alt (/ (+ 1 (* x 1/2)) x)>
#<alt (/ x (+ 1 (* x (+ 1/2 (* x -1/12)))))>
#<alt (+ 1 (* x (+ 1/2 (* x -1/12))))>
#<alt (* x (+ 1/2 (* x -1/12)))>
#<alt (+ 1/2 (* x -1/12))>
#<alt (+ (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) x)>
#<alt (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))>
#<alt (+ -1/2 (* x (+ 1/3 (* x -1/4))))>
#<alt (* x (+ 1/3 (* x -1/4)))>
#<alt (* x -1/12)>
#<alt (+ 1/3 (* x -1/4))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/4 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 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 (* 1/2 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/4 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -5/24 x))) 1/2))))>
#<alt (/ -12 x)>
#<alt (* -1 (/ (+ 12 (* 72 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 72 (* 576 (/ 1 x))) x)) 12) x)>
#<alt (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) (pow x 2))) (+ 12 (* 72 (/ 1 x)))) x)>
#<alt (/ -12 x)>
#<alt (* -1 (/ (+ 12 (* 72 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 576 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) x)) 72) x))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))>
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))>
#<alt (* -1/12 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* -1/12 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/12 x)))>
#<alt (* x (+ 1/2 (* -1/12 x)))>
#<alt (* x (+ 1/2 (* -1/12 x)))>
#<alt (* -1/12 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* -1/12 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/12 x))>
#<alt (+ 1/2 (* -1/12 x))>
#<alt (+ 1/2 (* -1/12 x))>
#<alt (* -1/12 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* -1/12 x)>
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt 1/3>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
Calls

51 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ x (+ 1 (* x (+ 1/2 (* x -1/12)))))
0.0ms
x
@-inf
(/ x (+ 1 (* x (+ 1/2 (* x -1/12)))))
0.0ms
x
@-inf
(/ (+ 1 (* x 1/2)) x)
0.0ms
x
@-inf
(/ 1 (/ 1 x))
0.0ms
x
@inf
(* x -1/12)

rewrite357.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
3360×*-lowering-*.f32
3360×*-lowering-*.f64
3256×/-lowering-/.f32
3256×/-lowering-/.f64
2134×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026113
117195
2164395
0853495
Stop Event
iter limit
node limit
Counts
17 → 814
Calls
Call 1
Inputs
(/ x (+ 1 (* x 1/2)))
(+ 1 (* x 1/2))
(* x 1/2)
(/ 1 (/ 1 x))
(/ 1 x)
(/ 1 (/ (+ 1 (* x 1/2)) x))
(/ (+ 1 (* x 1/2)) x)
(/ x (+ 1 (* x (+ 1/2 (* x -1/12)))))
(+ 1 (* x (+ 1/2 (* x -1/12))))
(* x (+ 1/2 (* x -1/12)))
(+ 1/2 (* x -1/12))
(+ (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) x)
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(* x (+ 1/3 (* x -1/4)))
(* x -1/12)
(+ 1/3 (* x -1/4))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal -1 binary64) x))))
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(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(*.f64 x (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) x)
(*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1 binary64))
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(*.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
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(*.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
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(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
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(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 x #s(literal -1/12 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/12 binary64)))
(*.f64 #s(literal -1/12 binary64) x)
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/4 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))))

simplify296.0ms (2.9%)

Algorithm
egg-herbie
Rules
2704×+-lowering-+.f64
2704×+-lowering-+.f32
2698×*-lowering-*.f32
2698×*-lowering-*.f64
1240×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01681257
15121122
212641046
335771022
081901022
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
2
(- 2 (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))
2
(- 2 (* 4 (/ 1 x)))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 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)
(* 1/2 x)
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
2
(- 2 (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))
2
(- 2 (* 4 (/ 1 x)))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -5/24 x))) 1/2))))
(/ -12 x)
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 72 (* 576 (/ 1 x))) x)) 12) x)
(/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) (pow x 2))) (+ 12 (* 72 (/ 1 x)))) x)
(/ -12 x)
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x))
(* -1 (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 576 (pow x 2)))) x))
(* -1 (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) x)) 72) x))) x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(* -1/12 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* -1/12 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* 1/2 x)
(* x (+ 1/2 (* -1/12 x)))
(* x (+ 1/2 (* -1/12 x)))
(* x (+ 1/2 (* -1/12 x)))
(* -1/12 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* -1/12 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
1/2
(+ 1/2 (* -1/12 x))
(+ 1/2 (* -1/12 x))
(+ 1/2 (* -1/12 x))
(* -1/12 x)
(* x (- (* 1/2 (/ 1 x)) 1/12))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(* -1/12 x)
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 x)
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x))
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x)) x))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x))
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x)) x))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -5/24 x))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -5/24 binary64))))))))
(/ -12 x)
(/.f64 #s(literal -12 binary64) x)
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal -72 binary64) x)) x)
(/ (- (* -1 (/ (+ 72 (* 576 (/ 1 x))) x)) 12) x)
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 576 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) (pow x 2))) (+ 12 (* 72 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 (+.f64 #s(literal 576 binary64) (/.f64 #s(literal 4320 binary64) x)) x)) x)) x)
(/ -12 x)
(/.f64 #s(literal -12 binary64) x)
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal -72 binary64) x)) x)
(* -1 (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 576 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 576 binary64) x)) x)) x)
(* -1 (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) x)) 72) x))) x))
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 (+.f64 #s(literal 576 binary64) (/.f64 #s(literal 4320 binary64) x)) x)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/12 x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/2 (* -1/12 x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* x (+ 1/2 (* -1/12 x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* -1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 x))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(+ 1/2 (* -1/12 x))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(+ 1/2 (* -1/12 x))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/3 x) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* -1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+ 1/3 (* -1/4 x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+ 1/3 (* -1/4 x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))

eval136.0ms (1.3%)

Compiler

Compiled 24505 to 3006 computations (87.7% saved)

prune123.0ms (1.2%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New1065111076
Fresh011
Picked235
Done033
Total1067181085
Accuracy
100.0%
Counts
1085 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.4%
(/.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
74.0%
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
70.6%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))))
74.0%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
72.4%
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
71.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x))
73.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
71.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x)))
71.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
73.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
70.2%
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x)
70.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) x)
73.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x)
71.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
100.0%
(log1p.f64 x)
35.3%
(log.f64 (+.f64 #s(literal 1 binary64) x))
70.7%
x
7.1%
#s(literal 2 binary64)
Compiler

Compiled 692 to 271 computations (60.8% saved)

regimes33.0ms (0.3%)

Counts
31 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x)
(/.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x))
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
Outputs
(log1p.f64 x)
Calls

3 calls:

16.0ms
x
7.0ms
(+.f64 #s(literal 1 binary64) x)
7.0ms
(log.f64 (+.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 #s(literal 1 binary64) x))
100.0%1(+.f64 #s(literal 1 binary64) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Counts
29 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x)
(/.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x))
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
74.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
73.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
73.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
73.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
73.4%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 2 binary64)
Outputs
#s(literal 2 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
7.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch11.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
0.5573510438221949
130685.75348441166
Results
6.0ms144×0valid
Compiler

Compiled 117 to 88 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-log: 2.0ms (75.3% of total)
ival-add: 1.0ms (37.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
0.5573510438221949
130685.75348441166
Results
26.0ms144×0valid
Compiler

Compiled 117 to 97 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 21.0ms (93.5% of total)
ival-add: 1.0ms (4.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
0.5573510438221949
130685.75348441166
Results
6.0ms144×0valid
Compiler

Compiled 63 to 52 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-log: 2.0ms (76.2% of total)
ival-add: 1.0ms (38.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02347
13447
Stop Event
saturated
Calls
Call 1
Inputs
(log1p.f64 x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(log1p.f64 x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))
#s(literal 2 binary64)

soundness3.3s (32%)

Rules
4304×*-lowering-*.f32
4304×*-lowering-*.f64
3810×*-lowering-*.f32
3810×*-lowering-*.f64
3484×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02292152
16891936
221161909
370171905
083471905
020110
113790
2128887
0812687
062296
1188252
2458240
31230236
43932236
08232236
042
182
082
01681257
15121122
212641046
335771022
081901022
Stop Event
fuel
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 225 to 157 computations (30.2% saved)

preprocess70.0ms (0.7%)

Compiler

Compiled 146 to 72 computations (50.7% saved)

end0.0ms (0%)

Profiling

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