ln(1 + x)

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
1.7MiB live, 1.7MiB 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)

sample395.0ms (7.4%)

Memory
27.4MiB live, 478.8MiB allocated
Samples
232.0ms8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-log1p: 81.0ms (89.5% of total)
ival-true: 6.0ms (6.6% of total)
ival-assert: 3.0ms (3.3% of total)
Bogosity

explain64.0ms (1.2%)

Memory
11.6MiB live, 87.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1680-0-(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))sensitivity1680
Confusion
Predicted +Predicted -
+1680
-088
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16800
-0088
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
088
1168
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms512×0valid
Compiler

Compiled 44 to 27 computations (38.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log1p: 5.0ms (56% of total)
ival-add: 3.0ms (33.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess69.0ms (1.3%)

Memory
-25.7MiB live, 18.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1159
2229
3309
4409
5539
6669
7699
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
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.8%
(log.f64 (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff192
(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 (0.2%)

Memory
20.3MiB live, 20.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy38.53100330318959
(log.f64 (+.f64 #s(literal 1 binary64) x))
Samples
9.0ms256×0valid
Compiler

Compiled 20 to 10 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-log1p: 2.0ms (48.2% of total)
ival-add: 1.0ms (24.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.1MiB live, 2.1MiB 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
0.0ms
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))

simplify243.0ms (4.6%)

Memory
6.5MiB live, 119.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062146
1171132
2363127
3979125
42422121
54452121
65392121
76689121
87472121
97620121
107664121
117666121
127666121
137909121
08006115
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 (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 (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)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 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 (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 #s(literal 1 binary64) x)
(+ (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)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(+ (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))

rewrite230.0ms (4.3%)

Memory
-26.2MiB live, 208.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
067
1227
21317
39847
086205
Stop Event
iter limit
node limit
iter limit
Counts
2 → 344
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))))
(*.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x)))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.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) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (log.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 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (+.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))) (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x))))) (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))))
(/.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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.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 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (log.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 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log1p.f64 (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 (-.f64 (*.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 (*.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))) (log1p.f64 x))) (neg.f64 (+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x))) (log1p.f64 x))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.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 (-.f64 (*.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 (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x)))))))
(/.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))))
(/.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x))) (log1p.f64 x)) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (*.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 (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))) (*.f64 (+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))) (log1p.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x))) (*.f64 (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x))) (log1p.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))))) (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))))
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(neg.f64 (neg.f64 (log1p.f64 x)))
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(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 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 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 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 (/.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)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 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 (*.f64 (pow.f64 x #s(literal 6 binary64)) (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)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 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 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 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) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(-.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 (fma.f64 x x (pow.f64 x #s(literal 4 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 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) 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 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.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 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x x)))
(+.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))) x))
(+.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(+.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)))) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) 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 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 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 #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 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

eval56.0ms (1.1%)

Memory
19.3MiB live, 56.3MiB allocated
Compiler

Compiled 9 109 to 1 133 computations (87.6% saved)

prune7.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3525357
Fresh000
Picked101
Done000
Total3535358
Accuracy
100.0%
Counts
358 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
100.0%
(log1p.f64 x)
66.0%
#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))
67.0%
#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))
65.7%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
Compiler

Compiled 134 to 102 computations (23.9% saved)

simplify135.0ms (2.5%)

Memory
-26.7MiB live, 126.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034218
062218
192218
2152218
3352218
4935218
52562218
65982218
77301218
08144218
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log1p.f64 x)
x
#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 (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 (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 (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 (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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(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)
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))
(pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))
(-.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 2 binary64)
(log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 binary64) x)
Outputs
(log1p.f64 x)
x
#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 (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 (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 (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 (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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(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)
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(+.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))))
(log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
(log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))
(pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))
(-.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 2 binary64)
(log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 binary64) x)

localize297.0ms (5.6%)

Memory
8.4MiB live, 264.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
accuracy0.015625
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
accuracy0.021816259768442016
(pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))
accuracy19.095288527564705
(log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
accuracy0
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
accuracy0.0078125
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
accuracy0.01171875
(*.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)
accuracy0.18571351594765698
#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))
accuracy0
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
accuracy0
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
accuracy0.015625
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy0.21532614807338674
#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
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
accuracy0.015625
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
accuracy0.3531004764413592
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
accuracy0.00390625
(log1p.f64 x)
Samples
151.0ms166×1valid
119.0ms87×0invalid
1.0ms0valid
Compiler

Compiled 442 to 72 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 221.0ms
ival-add: 105.0ms (47.4% of total)
ival-mult: 35.0ms (15.8% of total)
ival-log: 23.0ms (10.4% of total)
ival-log1p: 17.0ms (7.7% of total)
adjust: 13.0ms (5.9% of total)
ival-pow: 8.0ms (3.6% of total)
const: 7.0ms (3.2% of total)
ival-sub: 6.0ms (2.7% of total)
ival-pow2: 4.0ms (1.8% of total)
ival-div: 3.0ms (1.4% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-19.0MiB live, 18.2MiB allocated
Counts
19 → 99
Calls
Call 1
Inputs
(log1p.f64 x)
#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(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(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 (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 (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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) 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 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 3/2 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 3/2 (* -2 x))) 1))))
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* -1 x))))
(+ 1 (* (pow x 2) (+ 1 (* x (- (* 2 x) 1)))))
(+ 1 (pow x 3))
1/3
(+ 1/3 (* -1/4 x))
(* (pow x 2) (+ 1 (* -2 x)))
(* (pow x 2) (+ 1 (* x (- x 2))))
(* x (+ 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)))
(* -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))))
(* 1/3 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)))))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 2 (log -1))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x))))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x)))) (/ 1/2 (pow x 2)))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (/ 1/2 (pow x 2)))
(+ (log -1) (log (/ 1 x)))
(+ (log -1) (+ (log (/ 1 x)) (* 2 (/ 1 x))))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 5/3 (/ 1 (pow x 3)))))))
(/ -1 x)
(* -1 (/ (+ 1 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1) x)
(/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(+ (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))
(* -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)))))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(+ (log -1) (+ (log (/ -1 x)) (* -2 (log (/ -1 x)))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (/ 1 x))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))))
(log (/ -1 x))
(+ (log (/ -1 x)) (* 2 (/ 1 x)))
(+ (log (/ -1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1 (* 5/3 (/ 1 x))) x)) 2) x)))
(* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) x)) 2) x))) x))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((log (+ 1 x)) (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) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (log (/ (+ (pow x 3) 1) (- 1 (pow (- (* x x) x) 2)))) (log (+ 1 (* (- 1 x) x)))) (log (/ (+ (pow x 3) 1) (- 1 (pow (- (* x x) x) 2)))) (/ (+ (pow x 3) 1) (- 1 (pow (- (* x x) x) 2))) (+ (pow x 3) 1) (+ (* -1/4 x) 1/3) (pow (- (* x x) x) 2) (* (- 1 x) x))
3.0ms
x
@-inf
((log (+ 1 x)) (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) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (log (/ (+ (pow x 3) 1) (- 1 (pow (- (* x x) x) 2)))) (log (+ 1 (* (- 1 x) x)))) (log (/ (+ (pow x 3) 1) (- 1 (pow (- (* x x) x) 2)))) (/ (+ (pow x 3) 1) (- 1 (pow (- (* x x) x) 2))) (+ (pow x 3) 1) (+ (* -1/4 x) 1/3) (pow (- (* x x) x) 2) (* (- 1 x) x))
3.0ms
x
@0
((log (+ 1 x)) (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) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (log (/ (+ (pow x 3) 1) (- 1 (pow (- (* x x) x) 2)))) (log (+ 1 (* (- 1 x) x)))) (log (/ (+ (pow x 3) 1) (- 1 (pow (- (* x x) x) 2)))) (/ (+ (pow x 3) 1) (- 1 (pow (- (* x x) x) 2))) (+ (pow x 3) 1) (+ (* -1/4 x) 1/3) (pow (- (* x x) x) 2) (* (- 1 x) x))

simplify279.0ms (5.2%)

Memory
9.7MiB live, 85.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02591047
1745955
22128926
36089907
08253872
Stop Event
iter limit
node limit
Counts
99 → 98
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 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 3/2 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 3/2 (* -2 x))) 1))))
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* -1 x))))
(+ 1 (* (pow x 2) (+ 1 (* x (- (* 2 x) 1)))))
(+ 1 (pow x 3))
1/3
(+ 1/3 (* -1/4 x))
(* (pow x 2) (+ 1 (* -2 x)))
(* (pow x 2) (+ 1 (* x (- x 2))))
(* x (+ 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)))
(* -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))))
(* 1/3 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)))))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 2 (log -1))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x))))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x)))) (/ 1/2 (pow x 2)))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (/ 1/2 (pow x 2)))
(+ (log -1) (log (/ 1 x)))
(+ (log -1) (+ (log (/ 1 x)) (* 2 (/ 1 x))))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 5/3 (/ 1 (pow x 3)))))))
(/ -1 x)
(* -1 (/ (+ 1 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1) x)
(/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(+ (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))
(* -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)))))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(+ (log -1) (+ (log (/ -1 x)) (* -2 (log (/ -1 x)))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (/ 1 x))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))))
(log (/ -1 x))
(+ (log (/ -1 x)) (* 2 (/ 1 x)))
(+ (log (/ -1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1 (* 5/3 (/ 1 x))) x)) 2) x)))
(* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) x)) 2) x))) x))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 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 (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)
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))
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(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 (+ 1/3 (* -1/4 x))) 1/2)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(* (pow x 2) (+ 1 (* x (- (* 3/2 x) 1))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* x (- (* x (+ 3/2 (* -2 x))) 1))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x) x)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* -1 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* x (- (* 2 x) 1)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (pow x 3))
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(* (pow x 2) (+ 1 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* x (- x 2))))
(*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) 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 (log.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (/ 1 x) 1/2))
(fma.f64 #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 #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 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) 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)))
(* -1/4 (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 (/.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 3 binary64)))
(* (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 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3 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))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 2 (log -1))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (log.f64 x))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x))))
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal -1 binary64) x))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x)))) (/ 1/2 (pow x 2)))
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (/ 1/2 (pow x 2)))
(+.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 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 x))
(+ (log -1) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (+ (log (/ 1 x)) (* 2 (/ 1 x))))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (log.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 5/3 (/ 1 (pow x 3)))))))
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 5/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) x)) x) #s(literal 1 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(* -1/4 x)
(*.f64 #s(literal -1/4 binary64) x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(+ (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)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(+ (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))
(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.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)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.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 #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 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(*.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 3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 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))
(+ (log -1) (+ (log (/ -1 x)) (* -2 (log (/ -1 x)))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (/ 1 x))))
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (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) (+ (log (/ -1 x)) (+ (* -2 (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))
(log (/ -1 x))
(log.f64 (/.f64 #s(literal -1 binary64) x))
(+ (log (/ -1 x)) (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 (neg.f64 x)))
(+ (log (/ -1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (log.f64 (neg.f64 x)))
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1 (* 5/3 (/ 1 x))) x)) 2) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/3 binary64) x) #s(literal 1 binary64)) x) #s(literal -2 binary64)) x) (log.f64 (neg.f64 x)))
(* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -3 binary64) x) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) x)) 2) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) x)) x) #s(literal 1 binary64)) x)
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) x)
(* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))

rewrite222.0ms (4.2%)

Memory
23.2MiB live, 293.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034172
062172
1251172
21943172
08148168
Stop Event
iter limit
node limit
iter limit
Counts
19 → 481
Calls
Call 1
Inputs
(log1p.f64 x)
#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(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(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 (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 (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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
Outputs
(log1p.f64 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)) (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) (log1p.f64 (-.f64 (*.f64 x x) x)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 9 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) x))
#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)
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) x)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) x)) (neg.f64 (fma.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 #s(literal 1/4 binary64) (*.f64 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 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) (fma.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 #s(literal 1/4 binary64) (*.f64 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))) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) x)
(+.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) x)) x)
(+.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(+.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.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 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.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 (fma.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 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x)))))
(/.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 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.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 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(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 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #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))
(*.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 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #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 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x) x))))
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(+.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x)))
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eval95.0ms (1.8%)

Memory
-1.1MiB live, 186.8MiB allocated
Compiler

Compiled 18 180 to 2 583 computations (85.8% saved)

prune15.0ms (0.3%)

Memory
2.3MiB live, 44.5MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5564560
Fresh000
Picked235
Done000
Total5587565
Accuracy
100.0%
Counts
565 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
100.0%
(log1p.f64 x)
66.0%
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x))
65.7%
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x))
67.0%
#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))
65.7%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
66.4%
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Compiler

Compiled 93 to 67 computations (28% saved)

simplify177.0ms (3.3%)

Memory
20.7MiB live, 177.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))
cost-diff0
(log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
cost-diff0
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)
cost-diff0
(fma.f64 (*.f64 (fma.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)) (fma.f64 (*.f64 (fma.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
(*.f64 #s(literal -1/2 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
cost-diff0
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x 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
032211
056211
187207
2132207
3300207
4893207
52658207
65874207
77587207
08135198
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)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(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 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))
(pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))
(-.f64 (*.f64 x x) x)
#s(literal 2 binary64)
(log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 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)
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x))
(fma.f64 (*.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(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 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(+.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
(log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))
(pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))
(-.f64 (*.f64 x x) x)
#s(literal 2 binary64)
(log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 binary64) x)

localize168.0ms (3.2%)

Memory
3.3MiB live, 161.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
accuracy0.015625
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
accuracy0.021816259768442016
(pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))
accuracy19.095288527564705
(log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
accuracy0
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)
accuracy0.0078125
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
accuracy0.01171875
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)
accuracy0.18571351594765698
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x))
accuracy0
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
accuracy0
(*.f64 #s(literal -1/2 binary64) x)
accuracy0.3531004764413592
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x))
accuracy0.015625
(*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x)
accuracy0.3531004764413592
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
accuracy0.9055343168566544
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
Samples
121.0ms166×1valid
20.0ms87×0invalid
1.0ms0valid
Compiler

Compiled 407 to 67 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-sub: 31.0ms (26.5% of total)
ival-log: 22.0ms (18.8% of total)
ival-mult: 19.0ms (16.2% of total)
ival-add: 14.0ms (12% of total)
adjust: 11.0ms (9.4% of total)
const: 6.0ms (5.1% of total)
ival-log1p: 5.0ms (4.3% of total)
ival-pow2: 4.0ms (3.4% of total)
ival-div: 3.0ms (2.6% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
-30.5MiB live, 7.2MiB allocated
Counts
17 → 82
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)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(*.f64 #s(literal -1/2 binary64) x)
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))
(*.f64 x x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) 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))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 3/2 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 3/2 (* -2 x))) 1))))
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* -1 x))))
(+ 1 (* (pow x 2) (+ 1 (* x (- (* 2 x) 1)))))
1/3
(+ 1/3 (* -1/4 x))
(* (pow x 2) (+ 1 (* -2 x)))
(* (pow x 2) (+ 1 (* x (- x 2))))
(* x (+ 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)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 2 (log -1))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x))))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x)))) (/ 1/2 (pow x 2)))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (/ 1/2 (pow x 2)))
(+ (log -1) (log (/ 1 x)))
(+ (log -1) (+ (log (/ 1 x)) (* 2 (/ 1 x))))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 5/3 (/ 1 (pow x 3)))))))
(/ -1 x)
(* -1 (/ (+ 1 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1) x)
(/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(+ (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 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)))))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(+ (log -1) (+ (log (/ -1 x)) (* -2 (log (/ -1 x)))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (/ 1 x))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))))
(log (/ -1 x))
(+ (log (/ -1 x)) (* 2 (/ 1 x)))
(+ (log (/ -1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1 (* 5/3 (/ 1 x))) x)) 2) x)))
(* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) x)) 2) x))) x))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (log (+ 1 x)) (+ (* (* -1/2 x) x) x) (* -1/2 x) (log (+ 1 x)) (+ (* (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) x) x) (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (log (/ (+ (* (* x x) x) 1) (- 1 (pow (- (* x x) x) 2)))) (log (+ 1 (* (- 1 x) x)))) (log (/ (+ (* (* x x) x) 1) (- 1 (pow (- (* x x) x) 2)))) (/ (+ (* (* x x) x) 1) (- 1 (pow (- (* x x) x) 2))) (* x x) (+ (* -1/4 x) 1/3) (pow (- (* x x) x) 2) (* (- 1 x) x))
2.0ms
x
@inf
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (log (+ 1 x)) (+ (* (* -1/2 x) x) x) (* -1/2 x) (log (+ 1 x)) (+ (* (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) x) x) (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (log (/ (+ (* (* x x) x) 1) (- 1 (pow (- (* x x) x) 2)))) (log (+ 1 (* (- 1 x) x)))) (log (/ (+ (* (* x x) x) 1) (- 1 (pow (- (* x x) x) 2)))) (/ (+ (* (* x x) x) 1) (- 1 (pow (- (* x x) x) 2))) (* x x) (+ (* -1/4 x) 1/3) (pow (- (* x x) x) 2) (* (- 1 x) x))
1.0ms
x
@0
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (log (+ 1 x)) (+ (* (* -1/2 x) x) x) (* -1/2 x) (log (+ 1 x)) (+ (* (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) x) x) (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (log (/ (+ (* (* x x) x) 1) (- 1 (pow (- (* x x) x) 2)))) (log (+ 1 (* (- 1 x) x)))) (log (/ (+ (* (* x x) x) 1) (- 1 (pow (- (* x x) x) 2)))) (/ (+ (* (* x x) x) 1) (- 1 (pow (- (* x x) x) 2))) (* x x) (+ (* -1/4 x) 1/3) (pow (- (* x x) x) 2) (* (- 1 x) x))

simplify234.0ms (4.4%)

Memory
-0.4MiB live, 158.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0231870
1657790
21770771
35837752
08183712
Stop Event
iter limit
node limit
Counts
82 → 81
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))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 3/2 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 3/2 (* -2 x))) 1))))
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* -1 x))))
(+ 1 (* (pow x 2) (+ 1 (* x (- (* 2 x) 1)))))
1/3
(+ 1/3 (* -1/4 x))
(* (pow x 2) (+ 1 (* -2 x)))
(* (pow x 2) (+ 1 (* x (- x 2))))
(* x (+ 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)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 2 (log -1))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x))))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x)))) (/ 1/2 (pow x 2)))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (/ 1/2 (pow x 2)))
(+ (log -1) (log (/ 1 x)))
(+ (log -1) (+ (log (/ 1 x)) (* 2 (/ 1 x))))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 5/3 (/ 1 (pow x 3)))))))
(/ -1 x)
(* -1 (/ (+ 1 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1) x)
(/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(+ (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 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)))))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(+ (log -1) (+ (log (/ -1 x)) (* -2 (log (/ -1 x)))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (/ 1 x))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))))
(log (/ -1 x))
(+ (log (/ -1 x)) (* 2 (/ 1 x)))
(+ (log (/ -1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1 (* 5/3 (/ 1 x))) x)) 2) x)))
(* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) x)) 2) x))) x))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 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 (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)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/3 x) 1/2))
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)
-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)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(* (pow x 2) (+ 1 (* x (- (* 3/2 x) 1))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* x (- (* x (+ 3/2 (* -2 x))) 1))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x) x)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* -1 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* x (- (* 2 x) 1)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(* (pow x 2) (+ 1 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* x (- x 2))))
(*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) 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 (log.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 x) 1/2))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(* x (- (/ 1 x) 1/2))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(* -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 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)) (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 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)
(* (pow x 3) (- (* 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 3 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 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x #s(literal 1/3 binary64)) x)
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 2 (log -1))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (log.f64 x))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x))))
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal -1 binary64) x))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x)))) (/ 1/2 (pow x 2)))
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (/ 1/2 (pow x 2)))
(+.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 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 x))
(+ (log -1) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (+ (log (/ 1 x)) (* 2 (/ 1 x))))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 2 binary64) x)) (log.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 5/3 (/ 1 (pow x 3)))))))
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64))) (log.f64 x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x)
(/ (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) x)) x) #s(literal 1 binary64)) x)
(* -1/4 x)
(*.f64 #s(literal -1/4 binary64) x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(+ (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)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(+ (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))
(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 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 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) x)
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(*.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 3 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x #s(literal 1/3 binary64)) x)
(+ (log -1) (+ (log (/ -1 x)) (* -2 (log (/ -1 x)))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (/ 1 x))))
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (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) (+ (log (/ -1 x)) (+ (* -2 (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))
(log (/ -1 x))
(log.f64 (/.f64 #s(literal -1 binary64) x))
(+ (log (/ -1 x)) (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 (neg.f64 x)))
(+ (log (/ -1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 2 binary64) x)) (log.f64 (neg.f64 x)))
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1 (* 5/3 (/ 1 x))) x)) 2) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/3 binary64) x) #s(literal 1 binary64)) x) #s(literal -2 binary64)) x) (log.f64 (neg.f64 x)))
(* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) x)) 2) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) x)) x) #s(literal 1 binary64)) x)
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))

rewrite166.0ms (3.1%)

Memory
40.5MiB live, 262.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032171
056168
1231168
21766168
08551155
Stop Event
iter limit
node limit
iter limit
Counts
17 → 438
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)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(*.f64 #s(literal -1/2 binary64) x)
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))
(*.f64 x x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) 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 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) x) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #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) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(*.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))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) x)) (neg.f64 (fma.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 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) x) (fma.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 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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)
(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 #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) x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 x))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)
(+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.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 x x) (pow.f64 (*.f64 (*.f64 (fma.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 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.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 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.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 (-.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) 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 (pow.f64 (fma.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 (neg.f64 x) x)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (fma.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 (fma.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 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.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 (-.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x)))) #s(literal -1 binary64)))
(*.f64 x (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 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.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)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.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)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.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)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.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)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (fma.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)))) (neg.f64 (-.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.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 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x (neg.f64 x)))))
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(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) (*.f64 x (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) x))
(+.f64 x (*.f64 x (neg.f64 x)))
(+.f64 x (*.f64 (neg.f64 x) x))

eval72.0ms (1.4%)

Memory
18.3MiB live, 171.0MiB allocated
Compiler

Compiled 17 626 to 2 341 computations (86.7% saved)

prune68.0ms (1.3%)

Memory
-39.9MiB live, 44.8MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New5151516
Fresh000
Picked134
Done033
Total5167523
Accuracy
100.0%
Counts
523 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
100.0%
(log1p.f64 x)
66.0%
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x))
65.7%
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x))
67.0%
#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))
65.7%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
66.4%
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Compiler

Compiled 104 to 74 computations (28.8% saved)

simplify221.0ms (4.1%)

Memory
45.2MiB live, 118.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 5 (0.0ms)

IterNodesCost
020181
036181
157177
291177
3189177
4449177
51161159
62787159
74228159
84361159
94968159
105089159
115233159
125530159
135760159
146368159
157299159
167566159
177734159
187901159
08012159
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)))
#s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(-.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 binary64) x)
Outputs
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(+.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)))))
(log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)))
(-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))
#s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (pow (- (* x x) x) 2) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)
(pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))
(*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(-.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 binary64) x)

localize226.0ms (4.2%)

Memory
-56.1MiB live, 175.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
accuracy0.015625
(*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x)
accuracy0.015625
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
accuracy19.095288527564705
(log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)))))
Samples
112.0ms166×1valid
77.0ms87×0invalid
0.0ms0valid
Compiler

Compiled 320 to 43 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-add: 30.0ms (33.9% of total)
ival-log: 22.0ms (24.8% of total)
ival-mult: 11.0ms (12.4% of total)
adjust: 8.0ms (9% of total)
ival-sub: 7.0ms (7.9% of total)
ival-pow2: 4.0ms (4.5% of total)
ival-div: 3.0ms (3.4% of total)
ival-log1p: 3.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
6 → 44
Calls
Call 1
Inputs
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))
(*.f64 x x)
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #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))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 3/2 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 3/2 (* -2 x))) 1))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* -1 x))))
(+ 1 (* (pow x 2) (+ 1 (* x (- (* 2 x) 1)))))
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -2 x)))
(* x (+ 1 (* x (- x 2))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 2 (log -1))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x))))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x)))) (/ 1/2 (pow x 2)))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (/ 1/2 (pow x 2)))
(+ (log -1) (log (/ 1 x)))
(+ (log -1) (+ (log (/ 1 x)) (* 2 (/ 1 x))))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 5/3 (/ 1 (pow x 3)))))))
(/ -1 x)
(* -1 (/ (+ 1 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1) x)
(/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(pow x 3)
(* (pow x 3) (- 1 (* 2 (/ 1 x))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(+ (log -1) (+ (log (/ -1 x)) (* -2 (log (/ -1 x)))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (/ 1 x))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))))
(log (/ -1 x))
(+ (log (/ -1 x)) (* 2 (/ 1 x)))
(+ (log (/ -1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1 (* 5/3 (/ 1 x))) x)) 2) x)))
(* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) x)) 2) x))) x))
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 2) x)) 1)))
Calls

3 calls:

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

simplify256.0ms (4.8%)

Memory
10.9MiB live, 122.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0172507
1485467
21224451
33949435
08213412
Stop Event
iter limit
node limit
Counts
44 → 43
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))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 3/2 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 3/2 (* -2 x))) 1))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* -1 x))))
(+ 1 (* (pow x 2) (+ 1 (* x (- (* 2 x) 1)))))
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -2 x)))
(* x (+ 1 (* x (- x 2))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 2 (log -1))))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x))))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x)))) (/ 1/2 (pow x 2)))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (/ 1/2 (pow x 2)))
(+ (log -1) (log (/ 1 x)))
(+ (log -1) (+ (log (/ 1 x)) (* 2 (/ 1 x))))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 5/3 (/ 1 (pow x 3)))))))
(/ -1 x)
(* -1 (/ (+ 1 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1) x)
(/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(pow x 3)
(* (pow x 3) (- 1 (* 2 (/ 1 x))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(+ (log -1) (+ (log (/ -1 x)) (* -2 (log (/ -1 x)))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (/ 1 x))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))))
(log (/ -1 x))
(+ (log (/ -1 x)) (* 2 (/ 1 x)))
(+ (log (/ -1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1 (* 5/3 (/ 1 x))) x)) 2) x)))
(* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) x)) 2) x))) x))
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 2) x)) 1)))
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 (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 (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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(* (pow x 2) (+ 1 (* x (- (* 3/2 x) 1))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* x (- (* x (+ 3/2 (* -2 x))) 1))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* -1 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* x (- (* 2 x) 1)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- x 2))))
(*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x)
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* 2 (log -1))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (log.f64 x))
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x))))
(+.f64 (log.f64 x) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (/ 1 x)))) (/ 1/2 (pow x 2)))
(+.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x)) (log.f64 x))
(- (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 2 (log -1)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))) (/ 1/2 (pow x 2)))
(+.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 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 x))
(+ (log -1) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(+ (log -1) (+ (log (/ 1 x)) (* 2 (/ 1 x))))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 2 binary64) x)) (log.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log (/ 1 x)) (+ (* 2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 5/3 (/ 1 (pow x 3)))))))
(fma.f64 (+.f64 (/.f64 #s(literal 5/3 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x)) (log.f64 #s(literal -1 binary64))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* -1 (/ (+ 2 (* 3 (/ 1 x))) x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) x)) x) #s(literal 1 binary64)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) x x) x #s(literal 1 binary64)) x)
(+ (log -1) (+ (log (/ -1 x)) (* -2 (log (/ -1 x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (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) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))
(log (/ -1 x))
(log.f64 (/.f64 #s(literal -1 binary64) x))
(+ (log (/ -1 x)) (* 2 (/ 1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 2 binary64) x))
(+ (log (/ -1 x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(+ (log (/ -1 x)) (* -1 (/ (- (* -1 (/ (+ 1 (* 5/3 (/ 1 x))) x)) 2) x)))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/3 binary64) x)) x) #s(literal 2 binary64)) x))
(* -1 (/ (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 5 (/ 1 x))) x)) 2) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) #s(literal 3 binary64)) x)) x) #s(literal 1 binary64)) x)
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 2) x)) 1)))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) x x) x #s(literal 1 binary64)) x)

rewrite426.0ms (8%)

Memory
8.3MiB live, 206.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020106
036103
1161103
21244103
0861499
Stop Event
iter limit
node limit
iter limit
Counts
6 → 279
Calls
Call 1
Inputs
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))
(*.f64 x x)
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x)
Outputs
(*.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)))) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)))))) (pow.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))))))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)))))) (pow.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)))))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (+.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x)))) #s(literal 2 binary64))) (+.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (neg.f64 #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) x x)) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 2 binary64)) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 2 binary64)) x)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) x x) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 2 binary64)) x)) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal -1 binary64)) (*.f64 x (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 2 binary64)) x)) (fma.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (-.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (-.f64 x #s(literal 2 binary64)) x)))
(fma.f64 x (*.f64 (-.f64 x #s(literal 2 binary64)) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 x #s(literal 2 binary64)) x)))
(+.f64 (*.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) x) x)
(+.f64 (*.f64 x (*.f64 (-.f64 x #s(literal 2 binary64)) x)) x)
(+.f64 x (*.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) x))
(+.f64 x (*.f64 x (*.f64 (-.f64 x #s(literal 2 binary64)) x)))

eval150.0ms (2.8%)

Memory
0.7MiB live, 72.9MiB allocated
Compiler

Compiled 18 146 to 1 471 computations (91.9% saved)

prune94.0ms (1.8%)

Memory
-16.7MiB live, 21.8MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New3170317
Fresh000
Picked011
Done066
Total3177324
Accuracy
100.0%
Counts
324 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
100.0%
(log1p.f64 x)
66.0%
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x))
65.7%
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x))
67.0%
#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))
65.7%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
66.4%
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Compiler

Compiled 276 to 140 computations (49.3% saved)

regimes10.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
11 → 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 #s(literal -1/2 binary64) x) x 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 (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))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.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))
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (pow (- (* x x) x) 2) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)) x) x))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
Outputs
(log1p.f64 x)
Calls

3 calls:

4.0ms
x
3.0ms
(+.f64 #s(literal 1 binary64) x)
3.0ms
(log.f64 (+.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 #s(literal 1 binary64) x))
100.0%1(+.f64 #s(literal 1 binary64) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
6 → 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 #s(literal -1/2 binary64) x) x 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 (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))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.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:

2.0ms
x
2.0ms
(log.f64 (+.f64 #s(literal 1 binary64) x))
2.0ms
(+.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
67.0%1x
67.0%1(log.f64 (+.f64 #s(literal 1 binary64) x))
67.0%1(+.f64 #s(literal 1 binary64) x)
Compiler

Compiled 8 to 8 computations (0% saved)

regimes25.0ms (0.5%)

Memory
-31.8MiB live, 10.2MiB allocated
Accuracy

Total -1.0b remaining (-4.5%)

Threshold costs -1b (-4.5%)

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 #s(literal -1/2 binary64) x) x x))
Outputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Calls

3 calls:

22.0ms
x
1.0ms
(log.f64 (+.f64 #s(literal 1 binary64) x))
1.0ms
(+.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
66.4%1x
66.4%1(log.f64 (+.f64 #s(literal 1 binary64) x))
66.4%1(+.f64 #s(literal 1 binary64) x)
Compiler

Compiled 8 to 8 computations (0% saved)

simplify20.0ms (0.4%)

Memory
24.0MiB live, 24.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01630
12130
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))

soundness795.0ms (14.9%)

Memory
-4.9MiB live, 343.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02591047
1745955
22128926
36089907
08253872
062146
1171132
2363127
3979125
42422121
54452121
65392121
76689121
87472121
97620121
107664121
117666121
127666121
137909121
08006115
047
067
1227
21317
39847
086205
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 59 to 42 computations (28.8% saved)

preprocess57.0ms (1.1%)

Memory
18.1MiB live, 55.2MiB 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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