ln(1 + x)

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
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)

sample809.0ms (18.6%)

Memory
17.5MiB live, 510.6MiB allocated; 938ms collecting garbage
Samples
621.0ms8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-log1p: 95.0ms (86.1% of total)
ival-assert: 7.0ms (6.3% of total)
ival-true: 6.0ms (5.4% of total)
adjust: 2.0ms (1.8% of total)
Bogosity

explain49.0ms (1.1%)

Memory
19.1MiB live, 64.2MiB allocated; 7ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1720-0-(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))sensitivity1720
Confusion
Predicted +Predicted -
+1720
-084
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+17200
-0084
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
084
1172
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
19.0ms512×0valid
Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log1p: 5.0ms (57.5% of total)
ival-add: 3.0ms (34.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.4%)

Memory
-22.6MiB live, 22.8MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.1%
(log.f64 (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 4 to 4 computations (0% saved)

simplify0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Counts
4 → 15
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 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))))
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
1.0ms
x
@-inf
((log (+ 1 x)) (+ 1 x) 1 x)
1.0ms
x
@inf
((log (+ 1 x)) (+ 1 x) 1 x)
0.0ms
x
@0
((log (+ 1 x)) (+ 1 x) 1 x)

simplify159.0ms (3.7%)

Memory
17.6MiB live, 155.2MiB allocated; 30ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite169.0ms (3.9%)

Memory
-5.7MiB live, 146.2MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
069
1239
21269
39449
094307
Stop Event
iter limit
node limit
iter limit
Counts
4 → 290
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(log1p.f64 (neg.f64 x))
(log1p.f64 x)
(/.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))) (+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))) (+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))) (+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))) (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))) (/.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))) (/.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (log1p.f64 x))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (log1p.f64 x))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))))) (log.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (log1p.f64 x))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 x x x)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
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(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 x (fma.f64 x x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
x

eval36.0ms (0.8%)

Memory
19.1MiB live, 62.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 7 312 to 1 096 computations (85% saved)

prune23.0ms (0.5%)

Memory
-24.7MiB live, 18.4MiB allocated; 6ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2994303
Fresh000
Picked101
Done000
Total3004304
Accuracy
100.0%
Counts
304 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 x)
67.6%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
68.6%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
67.5%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
Compiler

Compiled 46 to 37 computations (19.6% saved)

simplify0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series7.0ms (0.2%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
21 → 59
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
(log1p.f64 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)
(* 1/3 x)
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(* x (+ 1/3 (* -1/4 x)))
1/3
(+ 1/3 (* -1/4 x))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (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)))))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(* -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))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 x 1 (log (+ 1 x)) (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (+ (* (- (* 1/3 x) 1/2) x) 1) (- (* 1/3 x) 1/2) (* 1/3 x) 1/3 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) (* (+ (* -1/4 x) 1/3) x) (+ (* -1/4 x) 1/3) -1/4 (log (+ 1 x)))
2.0ms
x
@-inf
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 x 1 (log (+ 1 x)) (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (+ (* (- (* 1/3 x) 1/2) x) 1) (- (* 1/3 x) 1/2) (* 1/3 x) 1/3 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) (* (+ (* -1/4 x) 1/3) x) (+ (* -1/4 x) 1/3) -1/4 (log (+ 1 x)))
1.0ms
x
@0
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 x 1 (log (+ 1 x)) (* (+ (* (- (* 1/3 x) 1/2) x) 1) x) (+ (* (- (* 1/3 x) 1/2) x) 1) (- (* 1/3 x) 1/2) (* 1/3 x) 1/3 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) (* (+ (* -1/4 x) 1/3) x) (+ (* -1/4 x) 1/3) -1/4 (log (+ 1 x)))

simplify129.0ms (3%)

Memory
15.3MiB live, 159.2MiB allocated; 31ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135566
1389532
21137530
34125509
08360476
Stop Event
iter limit
node limit
Counts
59 → 58
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)
(* 1/3 x)
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(* x (+ 1/3 (* -1/4 x)))
1/3
(+ 1/3 (* -1/4 x))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (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)))))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(* -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))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 (*.f64 x x) #s(literal -1/2 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))))
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
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))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
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))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 x))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (/ 1 x) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x)
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* (pow x 4) (- (* 1/3 (/ 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)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)) (*.f64 x x))
(* -1/4 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)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- 1/2 (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 #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 (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)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x)))
(* (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))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))

rewrite401.0ms (9.2%)

Memory
-14.7MiB live, 216.6MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023124
038124
1136124
2952124
08425124
Stop Event
iter limit
node limit
iter limit
Counts
21 → 375
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
(log1p.f64 x)
Outputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (*.f64 x (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (-.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) x x) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) x (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 x (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
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(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
#s(literal -1/4 binary64)
(log1p.f64 x)
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (*.f64 x (neg.f64 x)))) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (*.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))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (*.f64 x (neg.f64 x))) (fma.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)) (*.f64 (log1p.f64 (*.f64 x (neg.f64 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))) (fma.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (pow.f64 x #s(literal 3 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))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(-.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)))
(log.f64 (+.f64 x #s(literal 1 binary64)))

eval89.0ms (2.1%)

Memory
-7.1MiB live, 186.6MiB allocated; 26ms collecting garbage
Compiler

Compiled 15 042 to 2 038 computations (86.5% saved)

prune20.0ms (0.5%)

Memory
-26.6MiB live, 41.4MiB allocated; 14ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4514455
Fresh000
Picked224
Done000
Total4536459
Accuracy
100.0%
Counts
459 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 x)
67.6%
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
36.4%
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
68.6%
#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))
67.6%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
68.8%
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Compiler

Compiled 108 to 64 computations (40.7% saved)

simplify0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

series8.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Counts
26 → 81
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
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 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/3 x)))
(* (pow x 4) (+ 1/4 (* x (- (* 13/36 x) 1/3))))
(* (pow x 4) (+ 1/4 (* x (- (* x (+ 13/36 (* -1/6 x))) 1/3))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
1/3
(+ 1/3 (* -1/4 x))
(pow x 2)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* 1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1))
(* -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)))
(* (pow x 2) (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* 1/16 (pow x 8))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(* -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)))))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (+ (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (* 1/3 (/ 1 x))) 1/4))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
(* -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))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) 1 x (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) 1/3 -1/2 (log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (* (+ (* -1/4 x) 1/3) x) (+ (* -1/4 x) 1/3) -1/4 1/2 (* x x) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x) (log (+ 1 x)) (+ (* (* x x) -1/2) x))
2.0ms
x
@-inf
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) 1 x (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) 1/3 -1/2 (log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (* (+ (* -1/4 x) 1/3) x) (+ (* -1/4 x) 1/3) -1/4 1/2 (* x x) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x) (log (+ 1 x)) (+ (* (* x x) -1/2) x))
2.0ms
x
@inf
((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) 1 x (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) 1/3 -1/2 (log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (* (+ (* -1/4 x) 1/3) x) (+ (* -1/4 x) 1/3) -1/4 1/2 (* x x) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x) (log (+ 1 x)) (+ (* (* x x) -1/2) x))

simplify203.0ms (4.7%)

Memory
-1.7MiB live, 134.0MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208827
1598794
21604771
35650765
08294747
Stop Event
iter limit
node limit
Counts
81 → 80
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 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/3 x)))
(* (pow x 4) (+ 1/4 (* x (- (* 13/36 x) 1/3))))
(* (pow x 4) (+ 1/4 (* x (- (* x (+ 13/36 (* -1/6 x))) 1/3))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
1/3
(+ 1/3 (* -1/4 x))
(pow x 2)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* 1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1))
(* -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)))
(* (pow x 2) (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* 1/16 (pow x 8))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(* -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)))))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (+ (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (* 1/3 (/ 1 x))) 1/4))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
(* -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))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 13/36 binary64) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* 1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(* (pow x 4) (+ 1/4 (* -1/3 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (* x (- (* 13/36 x) 1/3))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 13/36 binary64) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (* x (- (* x (+ 13/36 (* -1/6 x))) 1/3))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 13/36 binary64)) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/3 x) 1/2))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/3 x) 1/2))
(*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* -1/4 x)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
1/3
#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)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* 1/3 x) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 x))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)
(* x (- (/ 1 x) 1/2))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) x)
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/16 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/16 binary64))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 13/36 binary64) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* -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)))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)) (*.f64 x x))
(* -1/4 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) (- (+ (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (* 1/3 (/ 1 x))) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- 1/2 (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 13/36 binary64) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (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))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)
(* (pow x 4) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))

rewrite419.0ms (9.6%)

Memory
22.1MiB live, 295.3MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030291
049247
1200209
21533209
08727195
Stop Event
iter limit
node limit
iter limit
Counts
26 → 910
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
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(literal 1 binary64)
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(*.f64 x #s(literal 1 binary64))
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(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
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(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 x x)))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 4 binary64)) (*.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x))))
(+.f64 (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 x x)) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 x x)))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #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 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) 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)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)))
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 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 (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))))) (pow.f64 x #s(literal 3 binary64)))) (*.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))))) (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 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 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) 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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) 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))))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/2 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)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)))
(-.f64 x (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 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 (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 (/.f64 (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 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 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 (/.f64 (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 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 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 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 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 (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 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)
(+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))

eval367.0ms (8.4%)

Memory
41.6MiB live, 313.0MiB allocated; 47ms collecting garbage
Compiler

Compiled 98 878 to 6 331 computations (93.6% saved)

prune112.0ms (2.6%)

Memory
-49.3MiB live, 69.0MiB allocated; 27ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 58431 587
Fresh000
Picked134
Done022
Total1 58581 593
Accuracy
100.0%
Counts
1 593 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 x)
67.6%
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
36.8%
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
36.9%
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
68.6%
#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))
67.6%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
35.5%
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
68.8%
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Compiler

Compiled 195 to 123 computations (36.9% saved)

simplify0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

series10.0ms (0.2%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Counts
36 → 98
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
#s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64))
#s(literal -1/3 binary64)
#s(literal 1/4 binary64)
(*.f64 x x)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x)
#s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64))
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))
(sqrt x)
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
-1
(- (* 1/4 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1)
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/3 x)))
(* 1/4 x)
(* x (+ 1/4 (* -1/3 x)))
1/4
(+ 1/4 (* -1/3 x))
(pow x 2)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* 1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* -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)
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
1/3
(+ 1/3 (* -1/4 x))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/3 x)))
(* (pow x 4) (+ 1/4 (* x (- (* 13/36 x) 1/3))))
(* (pow x 4) (+ 1/4 (* x (- (* x (+ 13/36 (* -1/6 x))) 1/3))))
(* -1 (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)))
(* (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)))))
(* 1/16 (pow x 8))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(* -1/3 (pow x 5))
(* (pow x 5) (- (* 1/4 (/ 1 x)) 1/3))
(* (pow x 5) (- (* 1/4 (/ 1 x)) (+ 1/3 (/ 1 (pow x 3)))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 1/4 (/ 1 x)) 1/3))
(* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/3 (/ 1 (pow x 3)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/3))
(* -1/3 x)
(* x (- (* 1/4 (/ 1 x)) 1/3))
(* (pow x 4) (- (+ (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (* 1/3 (/ 1 x))) 1/4))
(* -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)))))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* 1/2 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
(* -1 (* (pow x 5) (- 1/3 (* 1/4 (/ 1 x)))))
(* -1 (* (pow x 5) (+ 1/3 (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x)))))
(* -1 (* (pow x 3) (- 1/3 (* 1/4 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x)))))
(* -1 (* x (- 1/3 (* 1/4 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 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))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((log (+ 1 x)) (* (+ (* -1/2 x) 1) (* (sqrt x) (sqrt x))) (+ (* -1/2 x) 1) 1 (* (sqrt x) (sqrt x)) (sqrt x) x (log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (- (* (* (+ (* -1/3 x) 1/4) x) x) 1) (* x x)) (- (* (* (+ (* -1/3 x) 1/4) x) x) 1) (* (* (+ (* -1/3 x) 1/4) x) x) (* (+ (* -1/3 x) 1/4) x) (+ (* -1/3 x) 1/4) -1/3 1/4 (* x x) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (* (+ (* -1/4 x) 1/3) x) (+ (* -1/4 x) 1/3) -1/4 1/3 1/2 (log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (* (+ (* -1/4 x) 1/3) x) (+ (* -1/4 x) 1/3))
2.0ms
x
@inf
((log (+ 1 x)) (* (+ (* -1/2 x) 1) (* (sqrt x) (sqrt x))) (+ (* -1/2 x) 1) 1 (* (sqrt x) (sqrt x)) (sqrt x) x (log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (- (* (* (+ (* -1/3 x) 1/4) x) x) 1) (* x x)) (- (* (* (+ (* -1/3 x) 1/4) x) x) 1) (* (* (+ (* -1/3 x) 1/4) x) x) (* (+ (* -1/3 x) 1/4) x) (+ (* -1/3 x) 1/4) -1/3 1/4 (* x x) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (* (+ (* -1/4 x) 1/3) x) (+ (* -1/4 x) 1/3) -1/4 1/3 1/2 (log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (* (+ (* -1/4 x) 1/3) x) (+ (* -1/4 x) 1/3))
2.0ms
x
@0
((log (+ 1 x)) (* (+ (* -1/2 x) 1) (* (sqrt x) (sqrt x))) (+ (* -1/2 x) 1) 1 (* (sqrt x) (sqrt x)) (sqrt x) x (log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (- (* (* (+ (* -1/3 x) 1/4) x) x) 1) (* x x)) (- (* (* (+ (* -1/3 x) 1/4) x) x) 1) (* (* (+ (* -1/3 x) 1/4) x) x) (* (+ (* -1/3 x) 1/4) x) (+ (* -1/3 x) 1/4) -1/3 1/4 (* x x) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (* (+ (* -1/4 x) 1/3) x) (+ (* -1/4 x) 1/3) -1/4 1/3 1/2 (log (+ 1 x)) (/ (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (- (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) x)) (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (* (+ (* -1/4 x) 1/3) x) (+ (* -1/4 x) 1/3))

simplify164.0ms (3.8%)

Memory
-16.5MiB live, 208.7MiB allocated; 37ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0235910
1682879
21933851
36251842
08212817
Stop Event
iter limit
node limit
Counts
98 → 97
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))
(sqrt x)
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
-1
(- (* 1/4 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1)
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/3 x)))
(* 1/4 x)
(* x (+ 1/4 (* -1/3 x)))
1/4
(+ 1/4 (* -1/3 x))
(pow x 2)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* 1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* -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)
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
1/3
(+ 1/3 (* -1/4 x))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/3 x)))
(* (pow x 4) (+ 1/4 (* x (- (* 13/36 x) 1/3))))
(* (pow x 4) (+ 1/4 (* x (- (* x (+ 13/36 (* -1/6 x))) 1/3))))
(* -1 (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)))
(* (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)))))
(* 1/16 (pow x 8))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(* -1/3 (pow x 5))
(* (pow x 5) (- (* 1/4 (/ 1 x)) 1/3))
(* (pow x 5) (- (* 1/4 (/ 1 x)) (+ 1/3 (/ 1 (pow x 3)))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 1/4 (/ 1 x)) 1/3))
(* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/3 (/ 1 (pow x 3)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/3))
(* -1/3 x)
(* x (- (* 1/4 (/ 1 x)) 1/3))
(* (pow x 4) (- (+ (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (* 1/3 (/ 1 x))) 1/4))
(* -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)))))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* 1/2 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
(* -1 (* (pow x 5) (- 1/3 (* 1/4 (/ 1 x)))))
(* -1 (* (pow x 5) (+ 1/3 (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x)))))
(* -1 (* (pow x 3) (- 1/3 (* 1/4 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x)))))
(* -1 (* x (- 1/3 (* 1/4 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 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))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (- (* 13/36 x) 1/3)))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 13/36 binary64) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* 1/4 (pow x 2)) 1)
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1 binary64))
(- (* (pow x 2) (+ 1/4 (* -1/3 x))) 1)
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))
(* 1/4 (pow x 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/4 (* -1/3 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* -1/3 x)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/3 x))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64))
(pow x 2)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* 1/3 x) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/3 x) 1/2))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/3 x) 1/2))
(*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(*.f64 (-.f64 (*.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)
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* -1/4 x)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(* 1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(* (pow x 4) (+ 1/4 (* -1/3 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (* x (- (* 13/36 x) 1/3))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 13/36 binary64) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (* x (- (* x (+ 13/36 (* -1/6 x))) 1/3))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 13/36 binary64)) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(-.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x) (log.f64 x))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) 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 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/16 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/16 binary64))
(* (pow x 8) (- 1/16 (* 1/6 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 13/36 binary64) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/16 (/ 13/36 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3))))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* -1/3 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3 binary64))
(* (pow x 5) (- (* 1/4 (/ 1 x)) 1/3))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 1/4 (/ 1 x)) (+ 1/3 (/ 1 (pow x 3)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (* 1/4 (/ 1 x)) 1/3))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/3 (/ 1 (pow x 3)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1/3 (pow x 2))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) x)
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/3))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (*.f64 x x))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 1/4 (/ 1 x)) 1/3))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)
(* (pow x 4) (- (+ (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (* 1/3 (/ 1 x))) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/3 binary64)) 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)))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1/4 binary64)) (*.f64 x x))
(* -1/4 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)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 1/2 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 8) (+ 1/16 (* -1 (/ (- 1/6 (* 13/36 (/ 1 x))) x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 13/36 binary64) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/16 (* -1 (/ (+ 1/6 (* -1 (/ (- 13/36 (* 1/3 (/ 1 x))) x))) x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 5) (- 1/3 (* 1/4 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 1/3 (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- 1/3 (* 1/4 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (- 1/4 (/ 1 (pow x 2))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 1/3 (* 1/4 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)
(* (pow x 4) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/3 binary64)) 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)))
(* (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))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/4 binary64)) x)

rewrite257.0ms (5.9%)

Memory
4.8MiB live, 339.8MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050523
075478
1258464
21931458
08988438
Stop Event
iter limit
node limit
iter limit
Counts
36 → 563
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
#s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64))
#s(literal -1/3 binary64)
#s(literal 1/4 binary64)
(*.f64 x x)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x))
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x)
#s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64))
Outputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (sqrt.f64 x) #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))))
(*.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(literal 1 binary64)
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
x
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
x
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x)))
(*.f64 (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (pow.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x) #s(literal 2 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x))))) (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x))
(/.f64 (*.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x)))))
(/.f64 (*.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x)))))))
(/.f64 (*.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (fma.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (pow.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x) #s(literal 2 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)))) (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x))
(/.f64 (neg.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x))) (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x))
(/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x))
(neg.f64 (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)) (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x x)))
#s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x) x)
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 x (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) #s(literal 1 binary64))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (+.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) (fma.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) #s(literal 1/8 binary64))) (*.f64 (+.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) (+.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64))))
(*.f64 x #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)))
#s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64))

eval295.0ms (6.8%)

Memory
-8.8MiB live, 342.2MiB allocated; 144ms collecting garbage
Compiler

Compiled 72 077 to 4 496 computations (93.8% saved)

prune46.0ms (1.1%)

Memory
31.9MiB live, 78.6MiB allocated; 3ms collecting garbage
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New1 05421 056
Fresh000
Picked123
Done055
Total1 05591 064
Accuracy
100.0%
Counts
1 064 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 x)
67.6%
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
36.4%
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
36.9%
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/4 x) 1/3) x) 1/2) #s(literal -1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
36.9%
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
68.6%
#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))
67.6%
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
35.5%
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
68.8%
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Compiler

Compiled 637 to 249 computations (60.9% saved)

regimes26.0ms (0.6%)

Memory
-26.6MiB live, 19.5MiB allocated; 4ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/4 x) 1/3) x) 1/2) #s(literal -1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
Outputs
(log1p.f64 x)
Calls

3 calls:

19.0ms
x
3.0ms
(log.f64 (+.f64 #s(literal 1 binary64) x))
3.0ms
(+.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
100.0%1(+.f64 #s(literal 1 binary64) x)
100.0%1(log.f64 (+.f64 #s(literal 1 binary64) x))
100.0%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes10.0ms (0.2%)

Memory
17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Accuracy

Total -32.5b remaining (-162.7%)

Threshold costs -32.5b (-162.7%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
#s(approx (log (+ 1 x)) (/.f64 #s(approx (- (* (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/4 x) 1/3) x) 1/2) #s(literal -1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
#s(approx (log (+ 1 x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)))
Outputs
#s(approx (log (+ 1 x)) (*.f64 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))
Calls

3 calls:

3.0ms
x
3.0ms
(log.f64 (+.f64 #s(literal 1 binary64) x))
3.0ms
(+.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
68.8%1(+.f64 #s(literal 1 binary64) x)
68.8%1(log.f64 (+.f64 #s(literal 1 binary64) x))
68.8%1x
Compiler

Compiled 8 to 8 computations (0% saved)

simplify23.0ms (0.5%)

Memory
-27.0MiB live, 18.3MiB allocated; 4ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11616
22216
33116
44316
54316
Stop Event
saturated
Calls
Call 1
Inputs
(log1p.f64 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 #s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64)) x))

derivations413.0ms (9.5%)

Memory
26.6MiB live, 384.4MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135566
1389532
21137530
34125509
08360476
049
069
1239
21269
39449
094307
062146
1185132
2441130
31195125
43049121
56396121
08382117
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 16 to 12 computations (25% saved)

preprocess83.0ms (1.9%)

Memory
11.5MiB live, 105.7MiB allocated; 55ms collecting garbage
Compiler

Compiled 78 to 50 computations (35.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

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