Hyperbolic arc-cosine

Time bar (total: 9.0s)

analyze89.0ms (1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
16.7%12.5%62.5%0%0%25%0%4
30%18.7%43.7%0%0%37.5%0%5
38.9%21.9%34.4%0%0%43.7%0%6
44.1%23.4%29.7%0%0%46.9%0%7
47%24.2%27.3%0%0%48.4%0%8
48.5%24.6%26.2%0%0%49.2%0%9
49.2%24.8%25.6%0%0%49.6%0%10
49.6%24.9%25.3%0%0%49.8%0%11
49.8%24.9%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-log: 12.0ms (28.5% of total)
ival-mult: 9.0ms (21.4% of total)
ival-sqrt: 9.0ms (21.4% of total)
ival-sub: 6.0ms (14.3% of total)
ival-add: 5.0ms (11.9% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

sample2.7s (29.7%)

Results
1.1s7702×1invalid
922.0ms8256×0valid
27.0ms364×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-mult: 516.0ms (33.9% of total)
ival-sqrt: 283.0ms (18.6% of total)
ival-log: 237.0ms (15.6% of total)
ival-add: 174.0ms (11.4% of total)
ival-sub: 154.0ms (10.1% of total)
backward-pass: 130.0ms (8.5% of total)
const: 28.0ms (1.8% of total)
Bogosity

preprocess282.0ms (3.1%)

Algorithm
2×egg-herbie
Rules
2004×fmsub-define
1734×fmm-def
1728×fma-lowering-fma.f32
1728×fma-lowering-fma.f64
1680×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01427
14125
28125
318625
453525
5164425
6397225
7688425
8789225
078
1188
2228
3378
4768
52608
65118
711148
838038
979568
080018
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(log (+ x (sqrt (- (* x x) 1))))
Outputs
(log (+ x (sqrt (- (* x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
Call 2
Inputs
(log (+ x (sqrt (- (* x x) 1))))
(log (+ (neg x) (sqrt (- (* (neg x) (neg x)) 1))))
(neg (log (+ (neg x) (sqrt (- (* (neg x) (neg x)) 1)))))
Outputs
(log (+ x (sqrt (- (* x x) 1))))
(log (+ x (sqrt (fmsub x x 1))))
(log (+ (neg x) (sqrt (- (* (neg x) (neg x)) 1))))
(log (- (sqrt (fmsub x x 1)) x))
(neg (log (+ (neg x) (sqrt (- (* (neg x) (neg x)) 1)))))
(neg (log (- (sqrt (fmsub x x 1)) x)))

explain93.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1310-0-(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-x
00-0-(-.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
55.0ms512×0valid
Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-log: 16.0ms (50.5% of total)
ival-mult: 5.0ms (15.8% of total)
ival-sqrt: 4.0ms (12.6% of total)
ival-sub: 3.0ms (9.5% of total)
ival-add: 3.0ms (9.5% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify153.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (*.f64 x x) #s(literal 1 binary64))
✓cost-diff0
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
✓cost-diff0
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓cost-diff0
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Rules
2004×fmsub-define
1734×fmm-def
1728×fma-lowering-fma.f32
1728×fma-lowering-fma.f64
1680×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
11829
22229
33729
47629
526029
651129
7111429
8380329
9795629
0800129
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log (+ x (sqrt (- (* x x) 1))))
(+ x (sqrt (- (* x x) 1)))
x
(sqrt (- (* x x) 1))
(- (* x x) 1)
(* x x)
1
Outputs
(log (+ x (sqrt (- (* x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(+ x (sqrt (- (* x x) 1)))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))
x
(sqrt (- (* x x) 1))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(- (* x x) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)

localize45.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓accuracy100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓accuracy52.3%
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
23.0ms256×0valid
Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 3.0ms (28.7% of total)
ival-mult: 2.0ms (19.2% of total)
ival-sqrt: 2.0ms (19.2% of total)
ival-sub: 1.0ms (9.6% of total)
ival-add: 1.0ms (9.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (log (+ x (sqrt (- (* x x) 1))))>
#<alt (+ x (sqrt (- (* x x) 1)))>
#<alt (sqrt (- (* x x) 1))>
#<alt (- (* x x) 1)>
#<alt (* x x)>
Outputs
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))>
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log (+ x (sqrt (- (* x x) 1))))
1.0ms
x
@-inf
(log (+ x (sqrt (- (* x x) 1))))
1.0ms
x
@inf
(log (+ x (sqrt (- (* x x) 1))))
0.0ms
x
@0
(sqrt (- (* x x) 1))
0.0ms
x
@inf
(- (* x x) 1)

rewrite406.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
2512×*-lowering-*.f32
2512×*-lowering-*.f64
1724×/-lowering-/.f32
1724×/-lowering-/.f64
1636×log-lowering-log.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
14627
233927
3418327
0816627
Stop Event
1×iter limit
1×node limit
Counts
5 → 281
Calls
Call 1
Inputs
(log (+ x (sqrt (- (* x x) 1))))
(+ x (sqrt (- (* x x) 1)))
(sqrt (- (* x x) 1))
(- (* x x) 1)
(* x x)
Outputs
(log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (log.f64 (*.f64 (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (log.f64 (/.f64 (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) (log.f64 (*.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) (log.f64 (/.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 (log.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))))))
(+.f64 (log.f64 (+.f64 (neg.f64 (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))) (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (log.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal 3 binary64))))) (log.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (log.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (+.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (+.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 (log.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (log.f64 (*.f64 (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))))
(-.f64 (log.f64 (+.f64 (neg.f64 (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
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(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))) #s(literal 1 binary64)))) (-.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify247.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
3240×*-lowering-*.f32
3240×*-lowering-*.f64
1854×+-lowering-+.f64
1854×+-lowering-+.f32
1282×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0150584
1432533
21371521
34235504
08340504
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 x x))) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ x (sqrt -1))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -5/128 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/16 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval69.0ms (0.8%)

Compiler

Compiled 10314 to 1399 computations (86.4% saved)

prune40.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3374341
Fresh000
Picked011
Done000
Total3375342
Accuracy
100.0%
Counts
342 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
▶99.5%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
▶99.8%
(log.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))
✓50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶99.1%
(log.f64 (+.f64 x x))
Compiler

Compiled 68 to 48 computations (29.4% saved)

simplify195.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
✓cost-diff0
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff128
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓cost-diff128
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓cost-diff128
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
✓cost-diff128
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
✓cost-diff128
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓cost-diff256
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
✓cost-diff256
(log.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))
✓cost-diff0
(+.f64 x x)
✓cost-diff0
(log.f64 (+.f64 x x))
Rules
2086×fma-define
1892×sum3-define
1398×+-lowering-+.f64
1398×+-lowering-+.f32
1392×*-lowering-*.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
028213
162199
2120199
3219199
4349196
5455193
61089191
73505191
87125191
08085191
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log (+ x x))
(+ x x)
x
(log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(* 1 (/ -1/2 x))
1
(/ -1/2 x)
-1/2
x
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
2
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))
(log (+ (* x 2) (* 1 (/ -1/2 x))))
(+ (* x 2) (* 1 (/ -1/2 x)))
(* x 2)
x
2
(* 1 (/ -1/2 x))
1
(/ -1/2 x)
-1/2
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))
(+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))
(* x 2)
x
2
(/ (+ -1/2 (/ -1/8 (* x x))) x)
(+ -1/2 (/ -1/8 (* x x)))
-1/2
(/ -1/8 (* x x))
-1/8
(* x x)
Outputs
(log (+ x x))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(+ x x)
(*.f64 x #s(literal 2 binary64))
x
(log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))))
(+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))
(* 1 (/ -1/2 x))
(/.f64 #s(literal -1/2 binary64) x)
1
#s(literal 1 binary64)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
2
#s(literal 2 binary64)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
-1/8
#s(literal -1/8 binary64)
(/ -1/16 (* x x))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
-1/16
#s(literal -1/16 binary64)
(* x x)
(*.f64 x x)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(log (+ (* x 2) (* 1 (/ -1/2 x))))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))
(+ (* x 2) (* 1 (/ -1/2 x)))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* 1 (/ -1/2 x))
(/.f64 #s(literal -1/2 binary64) x)
1
#s(literal 1 binary64)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(/ (+ -1/2 (/ -1/8 (* x x))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(+ -1/2 (/ -1/8 (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(/ -1/8 (* x x))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
-1/8
#s(literal -1/8 binary64)
(* x x)
(*.f64 x x)

localize172.0ms (1.9%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
✓accuracy98.8%
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓accuracy100.0%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.8%
(*.f64 x (*.f64 x x))
✓accuracy99.2%
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy98.9%
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓accuracy100.0%
(+.f64 x x)
✓accuracy100.0%
(log.f64 (+.f64 x x))
Results
121.0ms256×0valid
Compiler

Compiled 245 to 29 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-div: 40.0ms (48.8% of total)
ival-add: 16.0ms (19.5% of total)
ival-log: 13.0ms (15.9% of total)
ival-mult: 11.0ms (13.4% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series94.0ms (1%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (log (+ x x))>
#<alt (+ x x)>
#<alt (log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))>
#<alt (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))>
#<alt (* 1 (/ -1/2 x))>
#<alt (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (log (+ (* x 2) (* 1 (/ -1/2 x))))>
#<alt (+ (* x 2) (* 1 (/ -1/2 x)))>
#<alt (* x 2)>
#<alt (log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))>
#<alt (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))>
#<alt (/ (+ -1/2 (/ -1/8 (* x x))) x)>
#<alt (/ -1/16 (* x x))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (/ -1/8 (* x x))>
Outputs
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
Calls

51 calls:

TimeVariablePointExpression
39.0ms
x
@-inf
(log (+ x x))
28.0ms
x
@0
(log (+ x x))
9.0ms
x
@0
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))
6.0ms
x
@inf
(log (+ x x))
1.0ms
x
@0
(log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))

rewrite434.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
3702×/-lowering-/.f32
3702×/-lowering-/.f64
2542×*-lowering-*.f32
2542×*-lowering-*.f64
2288×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028149
1176120
22072117
08913117
Stop Event
1×iter limit
1×node limit
Counts
17 → 1592
Calls
Call 1
Inputs
(log (+ x x))
(+ x x)
(log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(* 1 (/ -1/2 x))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(log (+ (* x 2) (* 1 (/ -1/2 x))))
(+ (* x 2) (* 1 (/ -1/2 x)))
(* x 2)
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))
(+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))
(/ (+ -1/2 (/ -1/8 (* x x))) x)
(/ -1/16 (* x x))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(* x (* x x))
(* x (* x (* x x)))
(/ -1/8 (* x x))
Outputs
(log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
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(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
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(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(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)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
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(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)
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(neg.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/8 binary64))
(*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1 binary64) x))

simplify263.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
2498×fma-lowering-fma.f32
2498×fma-lowering-fma.f64
2060×+-lowering-+.f64
2060×+-lowering-+.f32
2040×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02291672
16541598
220731560
360311560
080061560
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
Outputs
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (log -1/16) (* -5 (log x)))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 (log.f64 x) #s(literal -5 binary64)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 (log.f64 x) #s(literal -5 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 6 binary64))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -136/3 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 x x))) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 x x))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 5 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(*.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(*.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (log.f64 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -8 binary64)))) (log.f64 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) #s(literal -64/3 binary64)))))) (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/32 binary64) (*.f64 x x))) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 (+.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -1/192 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/32 binary64) (*.f64 x x))) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 (+.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -1/192 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (log -1/8) (* -3 (log x)))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) (+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal -24 binary64))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x #s(literal 256/3 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 x x))) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (+.f64 (log.f64 #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (*.f64 x x))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 6))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))

eval273.0ms (3%)

Compiler

Compiled 53901 to 4557 computations (91.5% saved)

prune212.0ms (2.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New214932152
Fresh000
Picked224
Done011
Total215162157
Accuracy
100.0%
Counts
2157 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(log.f64 (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
▶99.5%
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓99.7%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
✓50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓99.1%
(log.f64 (+.f64 x x))
▶99.8%
(log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
Compiler

Compiled 91 to 59 computations (35.2% saved)

simplify141.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff128
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
✓cost-diff256
(-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x))
✓cost-diff256
(log.f64 (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓cost-diff0
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x)
✓cost-diff0
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓cost-diff0
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff384
(*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
✓cost-diff384
(log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
Rules
1824×sum3-define
1768×fmsub-define
1684×fnmadd-define
1516×fma-lowering-fma.f32
1516×fma-lowering-fma.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
026262
164240
2140240
3311240
4646227
51999222
65230218
08428218
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
x
(+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+ 2 (/ -1/2 (* x x)))
2
(/ -1/2 (* x x))
-1/2
(* x x)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x (* x (* x x)))
(* x (* x x))
(log (+ (+ (/ -1/2 x) x) x))
(+ (+ (/ -1/2 x) x) x)
(+ (/ -1/2 x) x)
(/ -1/2 x)
-1/2
x
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))
(- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
x
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
2
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))
(/ 1/2 x)
1/2
Outputs
(log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)))
(* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))
x
(+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+ 2 (/ -1/2 (* x x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(/ -1/2 (* x x))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
-1/8
#s(literal -1/8 binary64)
(/ -1/16 (* x x))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
-1/16
#s(literal -1/16 binary64)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(log (+ (+ (/ -1/2 x) x) x))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))
(+ (+ (/ -1/2 x) x) x)
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))
(+ (/ -1/2 x) x)
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)))
(- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))
x
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
2
#s(literal 2 binary64)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
-1/8
#s(literal -1/8 binary64)
(/ -1/16 (* x x))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
-1/16
#s(literal -1/16 binary64)
(* x x)
(*.f64 x x)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)

localize118.0ms (1.3%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.8%
(*.f64 x (*.f64 x x))
✓accuracy99.2%
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy98.9%
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓accuracy100.0%
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x)
✓accuracy100.0%
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓accuracy99.8%
(*.f64 x (*.f64 x x))
✓accuracy99.2%
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy98.9%
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓accuracy98.8%
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
Results
70.0ms256×0valid
Compiler

Compiled 293 to 27 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 10.0ms (25.9% of total)
ival-mult: 10.0ms (25.9% of total)
ival-add: 9.0ms (23.3% of total)
ival-log: 8.0ms (20.7% of total)
ival-sub: 1.0ms (2.6% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))>
#<alt (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))>
#<alt (+ 2 (/ -1/2 (* x x)))>
#<alt (log (+ (+ (/ -1/2 x) x) x))>
#<alt (+ (+ (/ -1/2 x) x) x)>
#<alt (+ (/ -1/2 x) x)>
#<alt (/ -1/2 x)>
#<alt (log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))>
#<alt (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))>
#<alt (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))>
#<alt (/ -1/2 (* x x))>
#<alt (/ -1/16 (* x x))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ (- (* 2 (pow x 2)) 1/2) (pow x 2))>
#<alt (/ (- (* 2 (pow x 2)) 1/2) (pow x 2))>
#<alt (/ (- (* 2 (pow x 2)) 1/2) (pow x 2))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))>
#<alt 2>
#<alt (- 2 (* 1/8 (/ 1 (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt 2>
#<alt (- 2 (* 1/8 (/ 1 (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
Calls

51 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
0.0ms
x
@0
(log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
0.0ms
x
@-inf
(log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
0.0ms
x
@0
(/ -1/2 (* x x))
0.0ms
x
@inf
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))

rewrite359.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
3752×/-lowering-/.f32
3752×/-lowering-/.f64
2606×*-lowering-*.f32
2606×*-lowering-*.f64
1848×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026197
1180170
22066163
08833163
Stop Event
1×iter limit
1×node limit
Counts
17 → 500
Calls
Call 1
Inputs
(log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+ 2 (/ -1/2 (* x x)))
(log (+ (+ (/ -1/2 x) x) x))
(+ (+ (/ -1/2 x) x) x)
(+ (/ -1/2 x) x)
(/ -1/2 x)
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))
(- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(/ -1/2 (* x x))
(/ -1/16 (* x x))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(* x (* x x))
(* x (* x (* x x)))
Outputs
(log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))
(+.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (log.f64 x))
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))))))) (log.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x)) (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x))) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x)) (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x))))) (log.f64 (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x)))))
(-.f64 (log.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))) (log.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))))))
(-.f64 (log.f64 (*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))) (log.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) x)) (log.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))))))
(-.f64 (log.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))) x)) (log.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 2 binary64)) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))))
(+.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) x))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(+.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x)))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x)))) (/.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x)) (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x))) (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x)))))
(fma.f64 x #s(literal 2 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) x))
(fma.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x)))
(fma.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(fma.f64 #s(literal 2 binary64) x (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) x))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x x)))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) x (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
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(*.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 x x) #s(literal -1/16 binary64))))) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 x x) #s(literal -1/16 binary64))))) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) x))
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(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)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))

simplify236.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
2400×*-lowering-*.f32
2400×*-lowering-*.f64
2030×fma-lowering-fma.f32
2030×fma-lowering-fma.f64
1794×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02011852
15771764
217671723
349721693
084121693
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(/ -1/2 (pow x 2))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))
2
(- 2 (* 1/8 (/ 1 (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
2
(- 2 (* 1/8 (/ 1 (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) (*.f64 x (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 6 binary64)))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x #s(literal -136/3 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (log.f64 #s(literal -2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (log.f64 #s(literal -2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/ -1/16 (pow x 6))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))
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(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
2
#s(literal 2 binary64)
(- 2 (* 1/8 (/ 1 (pow x 4))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 (pow x 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 6))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))

eval133.0ms (1.5%)

Compiler

Compiled 31721 to 2904 computations (90.8% saved)

prune86.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New8661867
Fresh000
Picked033
Done033
Total8667873
Accuracy
100.0%
Counts
873 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(log.f64 (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
✓99.5%
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓99.7%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
✓50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓99.1%
(log.f64 (+.f64 x x))
▶99.8%
(log.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
✓99.8%
(log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
Compiler

Compiled 132 to 82 computations (37.9% saved)

simplify181.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff128
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
✓cost-diff128
(log.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
Rules
2748×*-lowering-*.f32
2748×*-lowering-*.f64
1870×fma-lowering-fma.f32
1870×fma-lowering-fma.f64
1656×fmsub-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
023208
157181
2137180
3391180
41226178
53646176
67142176
08485176
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log (* x (+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(* x (+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
x
(+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x)))))))
1
(/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))
(- 2 (/ -1/2 (* x x)))
2
(/ -1/2 (* x x))
-1/2
(* x x)
(- 4 (/ 1/4 (* x (* x (* x x)))))
4
(/ 1/4 (* x (* x (* x x))))
1/4
(* x (* x (* x x)))
(* x (* x x))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
Outputs
(log (* x (+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(log.f64 (+.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -2 binary64)))))))
(* x (+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -2 binary64))))))
x
(+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) x) x) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) x) x) x))
(/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) x) x) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 4 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) x) x) (*.f64 x x))))
(- 2 (/ -1/2 (* x x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(/ -1/2 (* x x))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
(- 4 (/ 1/4 (* x (* x (* x x)))))
(+.f64 #s(literal 4 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) x) x) (*.f64 x x)))
4
#s(literal 4 binary64)
(/ 1/4 (* x (* x (* x x))))
(/.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) x) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
(* x (* x (* x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(* x (* x x))
(*.f64 x (*.f64 x x))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) x) x) x)
(+ -1/8 (/ -1/16 (* x x)))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
-1/8
#s(literal -1/8 binary64)
(/ -1/16 (* x x))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
-1/16
#s(literal -1/16 binary64)

localize84.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy99.2%
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy98.9%
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓accuracy98.8%
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
Results
49.0ms256×0valid
Compiler

Compiled 240 to 24 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 10.0ms (37.1% of total)
ival-mult: 8.0ms (29.7% of total)
ival-sub: 3.0ms (11.1% of total)
ival-log: 3.0ms (11.1% of total)
ival-add: 2.0ms (7.4% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts
8 → 96
Calls
Call 1
Inputs
#<alt (log (* x (+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))>
#<alt (* x (+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))>
#<alt (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x)))))))>
#<alt (/ -1/2 (* x x))>
#<alt (/ -1/16 (* x x))>
#<alt (/ 1/4 (* x (* x (* x x))))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ (- (* 2 (pow x 2)) 1/2) (pow x 2))>
#<alt (/ (- (* 2 (pow x 2)) 1/2) (pow x 2))>
#<alt (/ (- (* 2 (pow x 2)) 1/2) (pow x 2))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ 1/4 (pow x 4))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log (* x (+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
0.0ms
x
@inf
(log (* x (+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
0.0ms
x
@0
(/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x)))))))
0.0ms
x
@0
(/ 1/4 (* x (* x (* x x))))
0.0ms
x
@inf
(/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x)))))))

rewrite400.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
5096×/-lowering-/.f32
5096×/-lowering-/.f64
3712×*-lowering-*.f32
3712×*-lowering-*.f64
1714×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023149
116191
2181484
0870184
Stop Event
1×iter limit
1×node limit
Counts
8 → 456
Calls
Call 1
Inputs
(log (* x (+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(* x (+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ (/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x))))))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(/ 1 (/ (- 2 (/ -1/2 (* x x))) (- 4 (/ 1/4 (* x (* x (* x x)))))))
(/ -1/2 (* x x))
(/ -1/16 (* x x))
(/ 1/4 (* x (* x (* x x))))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
Outputs
(log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+.f64 (log.f64 x) (log.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+.f64 (log.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))) (log.f64 x))
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) (*.f64 (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))) (*.f64 (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))) (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))))))) (log.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (-.f64 (*.f64 (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))) (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))))) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (*.f64 (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))) (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))))))) (log.f64 (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))))))
(-.f64 (log.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))) (log.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (log.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))))))
(-.f64 (log.f64 (*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))))) (log.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) x)) (log.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) x)) (log.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))))))
(-.f64 (log.f64 (*.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))) x)) (log.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))))) (/.f64 (pow.f64 (log.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)) (log.f64 (/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x))))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64))) (log.f64 (/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(+.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))))
(+.f64 (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))))) (/.f64 (*.f64 (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))) (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))))) (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))))))
(fma.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 x (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)))))
(fma.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
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(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) x))
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) #s(literal -1/16 binary64)) #s(literal 1/128 binary64)) (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))))
(*.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) #s(literal -1/16 binary64)) #s(literal 1/128 binary64)) (*.f64 x x)))) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) #s(literal -1/16 binary64)) #s(literal 1/128 binary64)) (*.f64 x x)))) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) #s(literal -1/16 binary64)) #s(literal 1/128 binary64)) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) #s(literal -1/16 binary64)) #s(literal 1/128 binary64)) (*.f64 x x)))) x))
(*.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) #s(literal -1/16 binary64)) #s(literal 1/128 binary64)) (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) #s(literal -1/16 binary64)) #s(literal 1/128 binary64)) (*.f64 x x)))) x))
(*.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) #s(literal -1/16 binary64)) #s(literal 1/128 binary64)) (*.f64 x x)))) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/4096 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) #s(literal -1/16 binary64)) #s(literal 1/128 binary64)) (*.f64 x x)))) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x))) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (neg.f64 (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (neg.f64 x)))
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))

simplify244.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
2086×+-lowering-+.f64
2086×+-lowering-+.f32
2006×*-lowering-*.f32
2006×*-lowering-*.f64
1664×fnmadd-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0130848
1356818
21086802
33120787
47679786
08567786
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(/ -1/2 (pow x 2))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ 1/4 (pow x 4))
(/ 1/4 (pow x 4))
(/ 1/4 (pow x 4))
(/ 1/4 (pow x 4))
(/ 1/4 (pow x 4))
(/ 1/4 (pow x 4))
(/ 1/4 (pow x 4))
(/ 1/4 (pow x 4))
(/ 1/4 (pow x 4))
(/ 1/4 (pow x 4))
(/ 1/4 (pow x 4))
(/ 1/4 (pow x 4))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) (*.f64 x (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 6 binary64)))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -136/3 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 5 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1/2 binary64) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/ -1/16 (pow x 6))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))))))) (pow.f64 x #s(literal 6 binary64)))
2
#s(literal 2 binary64)
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
2
#s(literal 2 binary64)
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ -1/16 (pow x 2))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 1/4 (pow x 4))
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -1/16 (pow x 6))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))

eval79.0ms (0.9%)

Compiler

Compiled 26387 to 2787 computations (89.4% saved)

prune100.0ms (1.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New5511552
Fresh000
Picked101
Done066
Total5527559
Accuracy
100.0%
Counts
559 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(log.f64 (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
✓99.5%
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓99.7%
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
✓50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓99.1%
(log.f64 (+.f64 x x))
99.8%
(log.f64 (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))))
✓99.8%
(log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
Compiler

Compiled 314 to 144 computations (54.1% saved)

regimes10.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(log.f64 (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(log.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))
(log.f64 (*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))))
(log.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
Calls

3 calls:

3.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
3.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.8%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes2.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(log.f64 (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
Outputs
(log.f64 (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
Outputs
(log.f64 (+.f64 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
24×+-commutative_binary64
16×*-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03476
14976
25876
36476
46976
57176
Stop Event
1×saturated
Calls
Call 1
Inputs
(log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(log.f64 (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(log.f64 (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 x x))

soundness1.0s (11.2%)

Rules
3702×/-lowering-/.f32
3702×/-lowering-/.f64
3240×*-lowering-*.f32
3240×*-lowering-*.f64
2542×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02291672
16541598
220731560
360311560
080061560
028149
1176120
22072117
08913117
0150584
1432533
21371521
34235504
08340504
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 99 to 49 computations (50.5% saved)

preprocess65.0ms (0.7%)

Compiler

Compiled 174 to 82 computations (52.9% saved)

end0.0ms (0%)

Profiling

Loading profile data...