ln(1 + x)

Time bar (total: 5.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
83.3%62.5%12.5%0%0%25%0%4
91.7%68.7%6.2%0%0%25%0%5
95.8%71.8%3.1%0%0%25%0%6
97.9%73.4%1.6%0%0%25%0%7
99%74.2%0.8%0%0%25%0%8
99.5%74.6%0.4%0%0%25%0%9
99.7%74.8%0.2%0%0%25%0%10
99.9%74.9%0.1%0%0%25%0%11
99.9%74.9%0%0%0%25%0%12
Compiler

Compiled 6 to 4 computations (33.3% saved)

sample695.0ms (13.3%)

Memory
49.4MiB live, 500.1MiB allocated
Samples
506.0ms8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-log1p: 84.0ms (88.9% of total)
ival-true: 6.0ms (6.3% of total)
ival-assert: 3.0ms (3.2% of total)
adjust: 2.0ms (2.1% of total)
Bogosity

explain55.0ms (1.1%)

Memory
-29.4MiB live, 72.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1790-0-(log.f64 (+.f64 #s(literal 1 binary64) x))
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) x))sensitivity1791
Confusion
Predicted +Predicted -
+1790
-077
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+17900
-0176
Precision?
0.9944444444444445
Recall?
1.0
Freqs
test
numberfreq
077
1179
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log1p: 5.0ms (57.6% of total)
ival-add: 3.0ms (34.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess13.0ms (0.3%)

Memory
21.4MiB live, 21.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
1911
044
064
194
092
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.3%
(log.f64 (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff2
(log.f64 (+.f64 #s(literal 1 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
069
199
097
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x

localize13.0ms (0.3%)

Memory
17.5MiB live, 17.5MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy40.785520637315635
(log.f64 (+.f64 #s(literal 1 binary64) x))
Samples
9.0ms256×0valid
Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-log1p: 2.0ms (47.5% of total)
ival-add: 1.0ms (23.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-42.4MiB live, 2.5MiB allocated
Counts
2 → 15
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
Outputs
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
(+ 1 x)
(* -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)))
(* x (+ 1 (/ 1 x)))
(+ (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))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((log (+ 1 x)) (+ 1 x))
0.0ms
x
@-inf
((log (+ 1 x)) (+ 1 x))
0.0ms
x
@0
((log (+ 1 x)) (+ 1 x))

simplify164.0ms (3.2%)

Memory
29.3MiB live, 130.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062146
1185132
2441130
31195125
43049121
56396121
08382117
Stop Event
iter limit
node limit
Counts
15 → 14
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
(+ 1 x)
(* -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)))
(* x (+ 1 (/ 1 x)))
(+ (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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(-.f64 (log.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) 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 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #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 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))

rewrite176.0ms (3.4%)

Memory
10.0MiB live, 197.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
067
1237
21267
39447
094305
Stop Event
iter limit
node limit
iter limit
Counts
2 → 271
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
Outputs
(log1p.f64 (neg.f64 x))
(log1p.f64 x)
(/.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))) (+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))) (+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))) (+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.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))) (fma.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.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 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))) (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))) (/.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))) (/.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (log1p.f64 x))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (log1p.f64 x))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))))) (log.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (log1p.f64 x))
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(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 x (fma.f64 x x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)

eval59.0ms (1.1%)

Memory
5.7MiB live, 50.0MiB allocated
Compiler

Compiled 7 172 to 1 040 computations (85.5% saved)

prune19.0ms (0.4%)

Memory
-28.1MiB live, 16.9MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2804284
Fresh000
Picked101
Done000
Total2814285
Accuracy
100.0%
Counts
285 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 x)
70.2%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
71.0%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
69.8%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
Compiler

Compiled 46 to 37 computations (19.6% saved)

simplify185.0ms (3.5%)

Memory
19.6MiB live, 122.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 x)
cost-diff0
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff0
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff1
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
cost-diff0
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff0
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff1
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
cost-diff0
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023131
038131
154131
2102131
3199131
4486131
51178131
62243131
73342131
83739131
94414131
104918131
115768131
126407131
136857131
147219131
157593131
167723131
08185124
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log1p.f64 x)
x
Outputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log1p.f64 x)
x

localize264.0ms (5.1%)

Memory
-21.3MiB live, 67.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log1p.f64 x)
accuracy0.02734375
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy0.03515625
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy0.26953125
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy19.037352798126673
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy0.03515625
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy0.0390625
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy0.34765625
(*.f64 #s(literal 1/3 binary64) x)
accuracy18.53941609524787
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy0.0
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
accuracy0.01171875
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
accuracy19.29349430741926
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
Samples
39.0ms256×0valid
Compiler

Compiled 120 to 24 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 13.0ms (48.7% of total)
ival-add: 5.0ms (18.7% of total)
const: 4.0ms (15% of total)
ival-log1p: 3.0ms (11.2% of total)
ival-sub: 2.0ms (7.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
14 → 54
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(log1p.f64 x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
Outputs
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
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* -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)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* x (- (/ 1 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))))
(* 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))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* -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)))))
(* -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 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)))))
(+ (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 (* x (- 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) 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 (* (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)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (+ (* (- (* 1/3 x) 1/2) x) 1) (log (+ 1 x)) (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (- (* 1/3 x) 1/2) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (log (+ 1 x)) (* (+ (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) 1) x) (+ (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) 1) (log (+ 1 x)) (* 1/3 x) (* (+ (* -1/4 x) 1/3) x))
2.0ms
x
@-inf
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (+ (* (- (* 1/3 x) 1/2) x) 1) (log (+ 1 x)) (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (- (* 1/3 x) 1/2) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (log (+ 1 x)) (* (+ (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) 1) x) (+ (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) 1) (log (+ 1 x)) (* 1/3 x) (* (+ (* -1/4 x) 1/3) x))
1.0ms
x
@0
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (+ (* (- (* 1/3 x) 1/2) x) 1) (log (+ 1 x)) (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (- (* 1/3 x) 1/2) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (log (+ 1 x)) (* (+ (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) 1) x) (+ (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) 1) (log (+ 1 x)) (* 1/3 x) (* (+ (* -1/4 x) 1/3) x))

simplify159.0ms (3%)

Memory
29.8MiB live, 170.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132545
1381511
21111509
34059488
08298466
Stop Event
iter limit
node limit
Counts
54 → 53
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
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* -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)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* x (- (/ 1 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))))
(* 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))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* -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)))))
(* -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 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)))))
(+ (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 (* x (- 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) 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 (* (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)))))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* -1/4 x)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(-.f64 (log.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 x))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (/ 1 x) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x)
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 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 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)) (*.f64 x x))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)) x) x)
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 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 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) 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)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- 1/2 (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/3 binary64)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)) (*.f64 x x))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)) x) x)
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)) x) x))

rewrite355.0ms (6.8%)

Memory
-12.2MiB live, 235.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023114
038114
1136114
2952114
08425114
Stop Event
iter limit
node limit
iter limit
Counts
14 → 332
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(log1p.f64 x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
Outputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (*.f64 x (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) x x) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) x (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 x (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x))
(-.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) x) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) x))
(+.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)
(+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal -1/2 binary64))))))
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(log1p.f64 x)
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(*.f64 #s(literal 1/3 binary64) x)
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(-.f64 (*.f64 #s(literal 1/3 binary64) x) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))) x) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))) x))
(+.f64 (*.f64 x (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x))))) (*.f64 x (/.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))

eval261.0ms (5%)

Memory
-0.7MiB live, 99.0MiB allocated
Compiler

Compiled 12 966 to 1 695 computations (86.9% saved)

prune21.0ms (0.4%)

Memory
-14.7MiB live, 24.0MiB allocated
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3724376
Fresh000
Picked224
Done000
Total3746380
Accuracy
100.0%
Counts
380 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 x)
69.9%
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
36.0%
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
71.0%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
70.2%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
70.2%
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Compiler

Compiled 108 to 64 computations (40.7% saved)

simplify138.0ms (2.7%)

Memory
12.7MiB live, 158.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
cost-diff0
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
cost-diff1
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
cost-diff4
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
cost-diff26
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
cost-diff0
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff0
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff0
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030300
049300
191294
2292238
31180234
44088232
08064218
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(*.f64 x x)
x
#s(literal -1/2 binary64)
Outputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x))) (neg.f64 x)) x)
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
(*.f64 x (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 x x)
x
#s(literal -1/2 binary64)

localize138.0ms (2.7%)

Memory
-4.2MiB live, 128.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
accuracy19.29349430741926
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
accuracy0.26953125
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy7.171875000000001
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
accuracy19.037352798126673
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
accuracy38.55341315330516
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
accuracy0.03515625
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy0.0390625
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
accuracy0.09375
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
accuracy18.53941609524787
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy0.01171875
(*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x)
accuracy19.29349430741926
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
accuracy19.93440964982312
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
Samples
55.0ms256×0valid
Compiler

Compiled 245 to 30 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 24.0ms (57.5% of total)
ival-add: 6.0ms (14.4% of total)
const: 4.0ms (9.6% of total)
ival-sub: 3.0ms (7.2% of total)
ival-log1p: 3.0ms (7.2% of total)
ival-div: 2.0ms (4.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Counts
16 → 64
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(*.f64 x x)
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
Outputs
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
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
-1/2
(- (* 1/3 x) 1/2)
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/3 x)))
(* (pow x 4) (+ 1/4 (* x (- (* 13/36 x) 1/3))))
(* (pow x 4) (+ 1/4 (* x (- (* x (+ 13/36 (* -1/6 x))) 1/3))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* 1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1))
(pow x 2)
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* -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)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* x (- (/ 1 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))))
(* 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))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* -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)))))
(* 1/16 (pow x 8))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(* (pow x 4) (- (+ (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (* 1/3 (/ 1 x))) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(+ (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 (* x (- 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* (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))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
(* (pow x 4) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x) (log (+ 1 x)) (log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (+ (* -1/4 x) 1/3) x))
2.0ms
x
@inf
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x) (log (+ 1 x)) (log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (+ (* -1/4 x) 1/3) x))
2.0ms
x
@-inf
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x) (log (+ 1 x)) (log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (+ (* -1/4 x) 1/3) x))

simplify311.0ms (6%)

Memory
-12.9MiB live, 127.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0190670
1544650
21386628
34714618
08196604
Stop Event
iter limit
node limit
Counts
64 → 63
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
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
-1/2
(- (* 1/3 x) 1/2)
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/3 x)))
(* (pow x 4) (+ 1/4 (* x (- (* 13/36 x) 1/3))))
(* (pow x 4) (+ 1/4 (* x (- (* x (+ 13/36 (* -1/6 x))) 1/3))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* 1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1))
(pow x 2)
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* -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)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* x (- (/ 1 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))))
(* 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))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* -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)))))
(* 1/16 (pow x 8))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(* (pow x 4) (- (+ (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (* 1/3 (/ 1 x))) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(+ (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 (* x (- 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* (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))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
(* (pow x 4) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(* 1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(* (pow x 4) (+ 1/4 (* -1/3 x)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/4 (* x (- (* 13/36 x) 1/3))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 13/36 binary64) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/4 (* x (- (* x (+ 13/36 (* -1/6 x))) 1/3))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 13/36 binary64)) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* 1/3 x) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 13/36 binary64) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* -1/4 x)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 x))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (/ 1 x) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) x)
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/16 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/16 binary64))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 13/36 binary64) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 4) (- (+ (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (* 1/3 (/ 1 x))) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 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 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) 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 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) 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)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- 1/2 (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 13/36 binary64) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 4) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))

rewrite330.0ms (6.3%)

Memory
-2.0MiB live, 202.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030251
049207
1200169
21533169
08727155
Stop Event
iter limit
node limit
iter limit
Counts
16 → 802
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(*.f64 x x)
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
Outputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)))
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 x (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x x)
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x) x)
(+.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)) x)
(+.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))
(+.f64 x (*.f64 x (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))))
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)))))
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(-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))
(-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 x x (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))) (*.f64 x x))
(+.f64 (*.f64 (neg.f64 x) x) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))
(+.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))
(+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))
(+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64))) (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 #s(literal -1/4 binary64) x) x))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 x (*.f64 #s(literal -1/4 binary64) x)))
(fma.f64 x (*.f64 #s(literal -1/4 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) x) x))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 x (*.f64 #s(literal -1/4 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/4 binary64) x) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 #s(literal -1/4 binary64) x)))

eval166.0ms (3.2%)

Memory
-12.8MiB live, 214.0MiB allocated
Compiler

Compiled 65 762 to 3 696 computations (94.4% saved)

prune18.0ms (0.3%)

Memory
-7.2MiB live, 51.6MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New9252927
Fresh000
Picked134
Done022
Total9267933
Accuracy
100.0%
Counts
933 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 x)
69.9%
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
36.4%
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
36.6%
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
71.0%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
70.2%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
70.2%
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Compiler

Compiled 179 to 111 computations (38% saved)

simplify122.0ms (2.3%)

Memory
32.4MiB live, 124.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
cost-diff0
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
cost-diff4
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x))
cost-diff0
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
cost-diff0
#s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
cost-diff0
(/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
cost-diff0
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042552
064552
1112540
2330540
31340526
44258524
57917524
08141514
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
#s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64))
#s(literal -1/3 binary64)
x
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 x x)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x)
(-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64))
#s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x x)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
Outputs
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
#s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64))
#s(literal -1/3 binary64)
x
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 x x)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))) (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))) (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (neg.f64 x)))
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))) (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))) (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x)
(-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64))
#s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x x)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)

localize202.0ms (3.9%)

Memory
26.1MiB live, 202.0MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy7.171875000000001
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
accuracy19.037352798126673
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
accuracy20.078535904054334
#s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
accuracy38.55341315330516
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
accuracy0.26953125
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy19.037352798126673
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
accuracy19.168368790755977
#s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
accuracy38.55341315330516
(/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
Samples
180.0ms256×0valid
Compiler

Compiled 420 to 28 computations (93.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 26.0ms (53.4% of total)
const: 7.0ms (14.4% of total)
ival-log1p: 6.0ms (12.3% of total)
ival-sub: 4.0ms (8.2% of total)
ival-add: 3.0ms (6.2% of total)
ival-div: 2.0ms (4.1% of total)
exact: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-35.4MiB live, 9.5MiB allocated
Counts
10 → 41
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
#s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
#s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
Outputs
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 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/3 x)))
(* (pow x 4) (+ 1/4 (* x (- (* 13/36 x) 1/3))))
(* (pow x 4) (+ 1/4 (* x (- (* x (+ 13/36 (* -1/6 x))) 1/3))))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* -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)))
(* -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)))))
(* 1/16 (pow x 8))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(* -1/3 (pow x 5))
(* (pow x 5) (- (* 1/4 (/ 1 x)) 1/3))
(* (pow x 5) (- (* 1/4 (/ 1 x)) (+ 1/3 (/ 1 (pow x 3)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(+ (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))))
(* (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))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
(* -1 (* (pow x 5) (- 1/3 (* 1/4 (/ 1 x)))))
(* -1 (* (pow x 5) (+ 1/3 (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
((log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (- (* (* (+ (* -1/3 x) 1/4) x) x) 1) (* x x)) (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (+ (* -1/4 x) 1/3) x) (* (+ (* -1/4 x) 1/3) x))
1.0ms
x
@inf
((log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (- (* (* (+ (* -1/3 x) 1/4) x) x) 1) (* x x)) (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (+ (* -1/4 x) 1/3) x) (* (+ (* -1/4 x) 1/3) x))
1.0ms
x
@-inf
((log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (- (* (* (+ (* -1/3 x) 1/4) x) x) 1) (* x x)) (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (+ (* -1/4 x) 1/3) x) (* (+ (* -1/4 x) 1/3) x))

simplify238.0ms (4.6%)

Memory
10.6MiB live, 229.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0163482
1478468
21206450
33746441
08240430
Stop Event
iter limit
node limit
Counts
41 → 40
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 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/3 x)))
(* (pow x 4) (+ 1/4 (* x (- (* 13/36 x) 1/3))))
(* (pow x 4) (+ 1/4 (* x (- (* x (+ 13/36 (* -1/6 x))) 1/3))))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* -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)))
(* -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)))))
(* 1/16 (pow x 8))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(* -1/3 (pow x 5))
(* (pow x 5) (- (* 1/4 (/ 1 x)) 1/3))
(* (pow x 5) (- (* 1/4 (/ 1 x)) (+ 1/3 (/ 1 (pow x 3)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(+ (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))))
(* (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))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
(* -1 (* (pow x 5) (- 1/3 (* 1/4 (/ 1 x)))))
(* -1 (* (pow x 5) (+ 1/3 (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x)))))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 13/36 binary64) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* 1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(* (pow x 4) (+ 1/4 (* -1/3 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (* x (- (* 13/36 x) 1/3))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 13/36 binary64) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (* x (- (* x (+ 13/36 (* -1/6 x))) 1/3))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 13/36 binary64)) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* -1/4 x)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(-.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 x))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/16 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/16 binary64))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 13/36 binary64) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* -1/3 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3 binary64))
(* (pow x 5) (- (* 1/4 (/ 1 x)) 1/3))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 1/4 (/ 1 x)) (+ 1/3 (/ 1 (pow x 3)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 5 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 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) 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 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) 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)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 13/36 binary64) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 5) (- 1/3 (* 1/4 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 1/3 (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 5 binary64)))

rewrite391.0ms (7.5%)

Memory
-23.1MiB live, 295.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042360
064327
1223313
21614313
08792307
Stop Event
iter limit
node limit
iter limit
Counts
10 → 244
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
#s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
#s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))
Outputs
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(*.f64 (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x))))
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(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x))))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64))) x))
(+.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64))) x) (*.f64 (neg.f64 x) x))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) (*.f64 (*.f64 #s(literal -1/4 binary64) x) x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/4 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (*.f64 x (*.f64 #s(literal -1/4 binary64) x))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 #s(literal -1/4 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64))) (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 #s(literal -1/4 binary64) x) x))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 x (*.f64 #s(literal -1/4 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) x) x))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 x (*.f64 #s(literal -1/4 binary64) x)))
(fma.f64 x (*.f64 #s(literal -1/4 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/4 binary64) x) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 #s(literal -1/4 binary64) x)))
#s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x))

eval51.0ms (1%)

Memory
11.0MiB live, 106.1MiB allocated
Compiler

Compiled 27 136 to 1 515 computations (94.4% saved)

prune9.0ms (0.2%)

Memory
28.7MiB live, 28.7MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3331334
Fresh000
Picked112
Done055
Total3347341
Accuracy
100.0%
Counts
341 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 x)
69.9%
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
36.0%
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
36.6%
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
71.0%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
70.2%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
70.2%
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Compiler

Compiled 501 to 191 computations (61.9% saved)

regimes11.0ms (0.2%)

Memory
-27.1MiB live, 19.7MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
Outputs
(log1p.f64 x)
Calls

3 calls:

5.0ms
x
3.0ms
(log.f64 (+.f64 #s(literal 1 binary64) x))
3.0ms
(+.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
100.0%1(+.f64 #s(literal 1 binary64) x)
100.0%1(log.f64 (+.f64 #s(literal 1 binary64) x))
100.0%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes9.0ms (0.2%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 #s(approx (* (+ (* -1/4 x) 1/3) x) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
Outputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
Calls

3 calls:

3.0ms
x
2.0ms
(log.f64 (+.f64 #s(literal 1 binary64) x))
2.0ms
(+.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
71.0%1(+.f64 #s(literal 1 binary64) x)
71.0%1(log.f64 (+.f64 #s(literal 1 binary64) x))
71.0%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Accuracy

Total -0.9b remaining (-4.6%)

Threshold costs -0.9b (-4.6%)

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

3 calls:

1.0ms
x
1.0ms
(log.f64 (+.f64 #s(literal 1 binary64) x))
1.0ms
(+.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
70.2%1(+.f64 #s(literal 1 binary64) x)
70.2%1(log.f64 (+.f64 #s(literal 1 binary64) x))
70.2%1x
Compiler

Compiled 8 to 8 computations (0% saved)

simplify12.0ms (0.2%)

Memory
-27.6MiB live, 19.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01630
12130
22730
33630
44830
54830
Stop Event
saturated
Calls
Call 1
Inputs
(log1p.f64 x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Outputs
(log1p.f64 x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))

derivations563.0ms (10.8%)

Memory
18.1MiB live, 348.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132545
1381511
21111509
34059488
08298466
062146
1185132
2441130
31195125
43049121
56396121
08382117
047
067
1237
21267
39447
094305
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 30 to 18 computations (40% saved)

preprocess30.0ms (0.6%)

Memory
10.5MiB live, 55.8MiB allocated
Compiler

Compiled 106 to 62 computations (41.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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