Hyperbolic arc-(co)secant

Time bar (total: 7.8s)

analyze6.0ms (0.1%)

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%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
const: 2.0ms (54.8% of total)
ival-div: 1.0ms (27.4% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.2s (15.8%)

Results
942.0ms8256×0valid
1.0ms18×0invalid
Precisions
Click to see histograms. Total time spent on operations: 611.0ms
ival-div: 209.0ms (34.2% of total)
ival-log: 113.0ms (18.5% of total)
ival-mult: 108.0ms (17.7% of total)
ival-sqrt: 72.0ms (11.8% of total)
ival-sub: 54.0ms (8.8% of total)
ival-add: 40.0ms (6.5% of total)
const: 12.0ms (2% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess224.0ms (2.9%)

Algorithm
2×egg-herbie
Rules
3014×sum3-define
2330×fnmadd-define
2034×+-lowering-+.f64
2034×+-lowering-+.f32
1796×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01838
14636
28036
317236
434736
569734
6122931
7262531
8471531
9689731
0911
11911
22611
33811
45711
59511
615411
738311
8174411
9384111
10687311
0826611
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
Outputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Call 2
Inputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x))))
(neg (log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x)))))
Outputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(log (/ (+ 1 (sqrt (- 1 (square x)))) x))
(log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x))))
(log (/ (- -1 (sqrt (- 1 (square x)))) x))
(neg (log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x)))))
(neg (log (/ (- -1 (sqrt (- 1 (square x)))) x)))

explain138.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
00-0-(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
00-0-(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
00-0-(*.f64 x x)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x x))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Results
91.0ms512×0valid
Compiler

Compiled 122 to 29 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sqrt: 19.0ms (42.9% of total)
ival-div: 9.0ms (20.3% of total)
ival-log: 6.0ms (13.5% of total)
ival-mult: 4.0ms (9% of total)
ival-sub: 3.0ms (6.8% of total)
ival-add: 3.0ms (6.8% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify147.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓cost-diff0
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Rules
2034×+-lowering-+.f64
2034×+-lowering-+.f32
1796×sum3-define
1374×sum4-define
1248×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0943
11943
22643
33843
45743
59543
615443
738343
8174443
9384143
10687343
0826643
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
(/ 1 x)
1
x
(/ (sqrt (- 1 (* x x))) x)
(sqrt (- 1 (* x x)))
(- 1 (* x x))
(* x x)
Outputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ (sqrt (- 1 (* x x))) x)
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt (- 1 (* x x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)

localize50.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓accuracy100.0%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
✓accuracy100.0%
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Results
35.0ms256×0valid
Compiler

Compiled 54 to 10 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (27.9% of total)
ival-log: 3.0ms (20.9% of total)
ival-mult: 2.0ms (14% of total)
ival-sqrt: 2.0ms (14% of total)
ival-sub: 1.0ms (7% of total)
ival-add: 1.0ms (7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

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

15 calls:

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

rewrite280.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
3126×*-lowering-*.f32
3126×*-lowering-*.f64
2984×/-lowering-/.f32
2984×/-lowering-/.f64
1192×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0935
16435
265133
0840333
Stop Event
1×iter limit
1×node limit
Counts
5 → 250
Calls
Call 1
Inputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
(/ 1 x)
(/ (sqrt (- 1 (* x x))) x)
(sqrt (- 1 (* x x)))
Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
(+.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x))))))
(+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))))
(-.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
(-.f64 (log.f64 (+.f64 x (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (log.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))) (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
(-.f64 (log.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(-.f64 (log.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) x)) (log.f64 x))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x))) (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (log.f64 x))))))
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(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))

simplify237.0ms (3%)

Algorithm
1×egg-herbie
Rules
2872×*-lowering-*.f32
2872×*-lowering-*.f64
1800×+-lowering-+.f64
1800×+-lowering-+.f32
1496×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0155730
1446630
21289605
34070593
08444593
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (sqrt -1))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
Outputs
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/32 binary64)))) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 x x) #s(literal -5/96 binary64))))))))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x)))
(log (* -1 (sqrt -1)))
(log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 #s(literal -1 binary64))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -1 (sqrt -1))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(+.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -1 (sqrt -1))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(-.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* -1 (* x (sqrt -1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(*.f64 x (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))))))

eval52.0ms (0.7%)

Compiler

Compiled 8412 to 1122 computations (86.7% saved)

prune38.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3046310
Fresh000
Picked101
Done000
Total3056311
Accuracy
100.0%
Counts
311 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))))
▶99.9%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x))
▶99.9%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x))
▶99.8%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
100.0%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
▶99.1%
(log.f64 (/.f64 #s(literal 2 binary64) x))
Compiler

Compiled 170 to 114 computations (32.9% saved)

simplify171.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x)
✓cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x))
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x)
✓cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x)
✓cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
✓cost-diff0
(/.f64 #s(literal 2 binary64) x)
✓cost-diff0
(log.f64 (/.f64 #s(literal 2 binary64) x))
✓cost-diff0
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
✓cost-diff64
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
✓cost-diff64
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
Rules
3368×sum3-define
3104×sum4-define
2144×fma-lowering-fma.f32
2144×fma-lowering-fma.f64
1232×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036272
193244
2242242
3548242
4986242
51368242
61497242
71891242
84280242
97305242
08052242
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(neg (log (/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))))
(log (/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x)))
(/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))
1
(/ (+ 1 (pow (- 1 (* x x)) 1/2)) x)
(+ 1 (pow (- 1 (* x x)) 1/2))
(pow (- 1 (* x x)) 1/2)
(- 1 (* x x))
(* x x)
x
1/2
(log (/ 2 x))
(/ 2 x)
2
x
(log (/ (+ 2 (* x (* x -1/2))) x))
(/ (+ 2 (* x (* x -1/2))) x)
(+ 2 (* x (* x -1/2)))
2
(* x (* x -1/2))
x
(* x -1/2)
-1/2
(log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8)))) x))
(/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8)))) x)
(+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8))))
2
(* (* x x) (+ -1/2 (* (* x x) -1/8)))
(* x x)
x
(+ -1/2 (* (* x x) -1/8))
-1/2
(* (* x x) -1/8)
-1/8
(log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) x))
(/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) x)
(+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))))
2
(* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))
(* x x)
x
(+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))
-1/2
(* (* x x) (+ -1/8 (* (* x x) -1/16)))
(+ -1/8 (* (* x x) -1/16))
-1/8
(* (* x x) -1/16)
-1/16
Outputs
(neg (log (/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(log (/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x)))
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(/ (+ 1 (pow (- 1 (* x x)) 1/2)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(+ 1 (pow (- 1 (* x x)) 1/2))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow (- 1 (* x x)) 1/2)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
1/2
#s(literal 1/2 binary64)
(log (/ 2 x))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(log (/ (+ 2 (* x (* x -1/2))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x))
(/ (+ 2 (* x (* x -1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x)
(+ 2 (* x (* x -1/2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
2
#s(literal 2 binary64)
(* x (* x -1/2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
x
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x))
(/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x)
(+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))
2
#s(literal 2 binary64)
(* (* x x) (+ -1/2 (* (* x x) -1/8)))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
(* x x)
(*.f64 x x)
x
(+ -1/2 (* (* x x) -1/8))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
-1/2
#s(literal -1/2 binary64)
(* (* x x) -1/8)
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
(log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))) x))
(/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))) x)
(+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))
2
#s(literal 2 binary64)
(* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* (* x x) (+ -1/8 (* (* x x) -1/16)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))
(+ -1/8 (* (* x x) -1/16))
(+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))
-1/8
#s(literal -1/8 binary64)
(* (* x x) -1/16)
(*.f64 (*.f64 x x) #s(literal -1/16 binary64))
-1/16
#s(literal -1/16 binary64)

localize237.0ms (3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓accuracy100.0%
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(log.f64 (/.f64 #s(literal 2 binary64) x))
✓accuracy100.0%
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))))
✓accuracy100.0%
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
✓accuracy100.0%
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
Results
167.0ms255×0valid
11.0ms1×3valid
Compiler

Compiled 325 to 37 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-log: 35.0ms (37.5% of total)
ival-pow: 19.0ms (20.3% of total)
ival-mult: 15.0ms (16.1% of total)
ival-div: 11.0ms (11.8% of total)
ival-add: 9.0ms (9.6% of total)
ival-sub: 2.0ms (2.1% of total)
const: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series87.0ms (1.1%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))>
#<alt (neg (log (/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))))>
#<alt (pow (- 1 (* x x)) 1/2)>
#<alt (log (/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x)))>
#<alt (log (/ 2 x))>
#<alt (/ 2 x)>
#<alt (log (/ (+ 2 (* x (* x -1/2))) x))>
#<alt (/ (+ 2 (* x (* x -1/2))) x)>
#<alt (+ 2 (* x (* x -1/2)))>
#<alt (* x (* x -1/2))>
#<alt (log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8)))) x))>
#<alt (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8)))) x)>
#<alt (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8))))>
#<alt (* (* x x) (+ -1/2 (* (* x x) -1/8)))>
#<alt (log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) x))>
#<alt (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) x)>
#<alt (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))))>
#<alt (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))>
#<alt (* x -1/2)>
#<alt (* x x)>
#<alt (* (* x x) -1/8)>
#<alt (* (* x x) (+ -1/8 (* (* x x) -1/16)))>
Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))>
#<alt (/ 1 (sqrt -1))>
#<alt (- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))>
#<alt (- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))>
#<alt (- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))>
#<alt (/ -1 (sqrt -1))>
#<alt (* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))>
#<alt (- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (* -1 (log (/ 1 (sqrt -1))))>
#<alt (- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))>
#<alt (- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))>
#<alt (- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))>
#<alt (* -1 (log (/ -1 (sqrt -1))))>
#<alt (* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))>
#<alt (- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))>
#<alt (- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))>
#<alt (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))>
#<alt (log (/ 1 (sqrt -1)))>
#<alt (- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))>
#<alt (- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))>
#<alt (- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))>
#<alt (log (/ -1 (sqrt -1)))>
#<alt (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))>
#<alt (+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))>
#<alt (+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (+ (log -2) (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 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))>
#<alt (+ (log -1/2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/48 (pow x 2)) 3/32)) 1/4))))>
#<alt (+ (log -1/8) (* -3 (log (/ 1 x))))>
#<alt (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2))))) (/ 24 (pow x 4)))>
#<alt (- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))>
#<alt (+ (log 1/8) (* -3 (log (/ -1 x))))>
#<alt (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2))))) (/ 24 (pow x 4)))>
#<alt (- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))>
#<alt (+ (log -1/16) (* -5 (log (/ 1 x))))>
#<alt (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))>
#<alt (- (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))>
#<alt (+ (log 1/16) (* -5 (log (/ -1 x))))>
#<alt (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))>
#<alt (- (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)>
#<alt (* -1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<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 (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 (* -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))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
Calls

66 calls:

TimeVariablePointExpression
36.0ms
x
@0
(log (/ 2 x))
19.0ms
x
@-inf
(log (/ 2 x))
8.0ms
x
@inf
(log (/ 2 x))
5.0ms
x
@inf
(* (* x x) (+ -1/8 (* (* x x) -1/16)))
1.0ms
x
@inf
(neg (log (/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))))

rewrite469.0ms (6%)

Algorithm
1×batch-egg-rewrite
Rules
3294×*-lowering-*.f32
3294×*-lowering-*.f64
2760×/-lowering-/.f32
2760×/-lowering-/.f64
2484×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036204
1242178
22094176
09573176
Stop Event
1×iter limit
1×node limit
Counts
22 → 579
Calls
Call 1
Inputs
(/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))
(neg (log (/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))))
(pow (- 1 (* x x)) 1/2)
(log (/ 1 (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x)))
(log (/ 2 x))
(/ 2 x)
(log (/ (+ 2 (* x (* x -1/2))) x))
(/ (+ 2 (* x (* x -1/2))) x)
(+ 2 (* x (* x -1/2)))
(* x (* x -1/2))
(log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8)))) x))
(/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8)))) x)
(+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8))))
(* (* x x) (+ -1/2 (* (* x x) -1/8)))
(log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) x))
(/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) x)
(+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))))
(* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))
(* x -1/2)
(* x x)
(* (* x x) -1/8)
(* (* x x) (+ -1/8 (* (* x x) -1/16)))
Outputs
(exp.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)) #s(literal 0 binary64))
(+.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(+.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)) #s(literal 0 binary64))
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (log.f64 x))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (log.f64 (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log.f64 x))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))) (log.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))))) (/.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))) (*.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 x))))))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
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(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
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(fma.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/16 binary64))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))
(fma.f64 (*.f64 x #s(literal -1/8 binary64)) x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/16 binary64)) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/16 binary64))) x) x (*.f64 x (*.f64 x #s(literal -1/8 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/4096 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/4096 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/16 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/16 binary64))) #s(literal -1/8 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/256 binary64)))) (-.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/4096 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/16 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/16 binary64))) #s(literal -1/8 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/256 binary64))) (*.f64 x x)) (-.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))
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(*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) x)

simplify354.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
5046×+-lowering-+.f64
5046×+-lowering-+.f32
3022×*-lowering-*.f32
3022×*-lowering-*.f64
1696×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03712799
111412385
238232318
083342318
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (log (/ 1 x)))
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(+ (log 2) (log (/ 1 x)))
(+ (log -2) (log (/ -1 x)))
(+ (log -2) (log (/ -1 x)))
(+ (log -2) (log (/ -1 x)))
(+ (log -2) (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 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/48 (pow x 2)) 3/32)) 1/4))))
(+ (log -1/8) (* -3 (log (/ 1 x))))
(+ (log -1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2)))))
(- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2))))) (/ 24 (pow x 4)))
(- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))
(+ (log 1/8) (* -3 (log (/ -1 x))))
(+ (log 1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2)))))
(- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2))))) (/ 24 (pow x 4)))
(- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+ (log -1/16) (* -5 (log (/ 1 x))))
(+ (log -1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))
(+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(- (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))
(+ (log 1/16) (* -5 (log (/ -1 x))))
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(+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(- (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(* -1/16 (pow x 5))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 5))
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(* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))
2
(+ 2 (* -1/2 (pow x 2)))
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(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -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)
(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)
(* -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))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 5/128 binary64))))))))
(/ 1 (sqrt -1))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))
(/ -1 (sqrt -1))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) x))
(* -1 (+ (log 1/2) (log x)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -3/32 binary64)))))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 x x) #s(literal -5/96 binary64)))))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(* -1 (log (/ 1 (sqrt -1))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(* -1 (log (/ -1 (sqrt -1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -3/40 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) x) (log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(*.f64 x (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* x (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(*.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (-.f64 #s(literal 0 binary64) x))
(+ (log 1/2) (log x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 3/32 binary64)))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) #s(literal 5/96 binary64))))))))
(log (/ 1 (sqrt -1)))
(log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(+.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -3/40 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(log (/ -1 (sqrt -1)))
(log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -3/40 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (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 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/32 binary64)))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64)))))))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64)))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
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(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x)
(* -1/16 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/16 binary64))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -1/16 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/16 binary64))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -1/16 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64))))))))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(* -1/16 (pow x 6))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -1/16 (pow x 6))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
(* -1/16 (pow x 6))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1/16 (pow x 6))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(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)
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))
(* -1/16 (pow x 4))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/16 binary64))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1/16 (pow x 4))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/16 binary64))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))

eval181.0ms (2.3%)

Compiler

Compiled 25519 to 2985 computations (88.3% saved)

prune102.0ms (1.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New9412943
Fresh011
Picked145
Done000
Total9427949
Accuracy
100.0%
Counts
949 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
▶99.1%
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
✓99.9%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x))
✓99.9%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x))
✓99.8%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
▶100.0%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
✓99.1%
(log.f64 (/.f64 #s(literal 2 binary64) x))
Compiler

Compiled 87 to 60 computations (31% saved)

simplify139.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓cost-diff0
(/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
✓cost-diff0
(log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
✓cost-diff-64
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff0
(log.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff0
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)
✓cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
Rules
1860×sum3-define
1374×sum4-define
1266×fnmadd-define
1218×fmsub-define
1150×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02097
13993
25393
36993
49993
514493
621193
745693
8186093
9401093
10724093
0804993
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))
(/ (+ 1 (pow (- 1 (* x x)) 1/2)) x)
(+ 1 (pow (- 1 (* x x)) 1/2))
1
(pow (- 1 (* x x)) 1/2)
(- 1 (* x x))
(* x x)
x
1/2
(neg (log (/ x 2)))
(log (/ x 2))
(/ x 2)
x
2
(neg (log (/ x (+ 2 (* x (* x -1/2))))))
(log (/ x (+ 2 (* x (* x -1/2)))))
(/ x (+ 2 (* x (* x -1/2))))
x
(+ 2 (* x (* x -1/2)))
2
(* x (* x -1/2))
(* x -1/2)
-1/2
Outputs
(log (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
(/ (+ 1 (pow (- 1 (* x x)) 1/2)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)
(+ 1 (pow (- 1 (* x x)) 1/2))
(+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(pow (- 1 (* x x)) 1/2)
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
1/2
#s(literal 1/2 binary64)
(neg (log (/ x 2)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))
(log (/ x 2))
(log.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(neg (log (/ x (+ 2 (* x (* x -1/2))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))
(log (/ x (+ 2 (* x (* x -1/2)))))
(log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))))
(/ x (+ 2 (* x (* x -1/2))))
(/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))
x
(+ 2 (* x (* x -1/2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))
2
#s(literal 2 binary64)
(* x (* x -1/2))
(*.f64 x (/.f64 x #s(literal -2 binary64)))
(* x -1/2)
(/.f64 x #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)

localize120.0ms (1.5%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
✓accuracy100.0%
(log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
✓accuracy100.0%
(/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
✓accuracy100.0%
(log.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
✓accuracy100.0%
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
Results
92.0ms255×0valid
1.0ms1×3valid
Compiler

Compiled 114 to 21 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-pow: 17.0ms (38.1% of total)
ival-log: 9.0ms (20.2% of total)
ival-mult: 6.0ms (13.5% of total)
ival-div: 5.0ms (11.2% of total)
ival-add: 3.0ms (6.7% of total)
ival-neg: 3.0ms (6.7% of total)
const: 1.0ms (2.2% of total)
ival-sub: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series67.0ms (0.9%)

Counts
14 → 168
Calls
Call 1
Inputs
#<alt (log (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))>
#<alt (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x)>
#<alt (+ 1 (pow (- 1 (* x x)) 1/2))>
#<alt (pow (- 1 (* x x)) 1/2)>
#<alt (log (/ x 2))>
#<alt (/ x 2)>
#<alt (neg (log (/ x 2)))>
#<alt (log (/ x (+ 2 (* x (* x -1/2)))))>
#<alt (/ x (+ 2 (* x (* x -1/2))))>
#<alt (+ 2 (* x (* x -1/2)))>
#<alt (* x (* x -1/2))>
#<alt (* x x)>
#<alt (neg (log (/ x (+ 2 (* x (* x -1/2))))))>
#<alt (* x -1/2)>
Outputs
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))>
#<alt (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))>
#<alt (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))>
#<alt (log (* -1 (sqrt -1)))>
#<alt (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ 1 x))>
#<alt (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))>
#<alt (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* -1 (sqrt -1))>
#<alt (+ (* -1 (sqrt -1)) (/ 1 x))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (/ 1 x)))>
#<alt (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (- (sqrt -1) (/ 1 x))))>
#<alt (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))>
#<alt (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))>
#<alt (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1/2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1/2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1/2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1/2) (* -1 (log (/ -1 x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 1/32 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/32 (* 1/192 (pow x 2))))))))>
#<alt (+ (log -2) (log (/ 1 x)))>
#<alt (+ (log -2) (+ (log (/ 1 x)) (* 4 (/ 1 (pow x 2)))))>
#<alt (+ (log -2) (+ (log (/ 1 x)) (+ (* 4 (/ 1 (pow x 2))) (/ 8 (pow x 4)))))>
#<alt (+ (log -2) (+ (log (/ 1 x)) (+ (* 4 (/ 1 (pow x 2))) (+ (* 64/3 (/ 1 (pow x 6))) (/ 8 (pow x 4))))))>
#<alt (+ (log 2) (log (/ -1 x)))>
#<alt (+ (log 2) (+ (log (/ -1 x)) (* 4 (/ 1 (pow x 2)))))>
#<alt (+ (log 2) (+ (log (/ -1 x)) (+ (* 4 (/ 1 (pow x 2))) (/ 8 (pow x 4)))))>
#<alt (+ (log 2) (+ (log (/ -1 x)) (+ (* 4 (/ 1 (pow x 2))) (+ (* 64/3 (/ 1 (pow x 6))) (/ 8 (pow x 4))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/32 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/32 (* 1/128 (pow x 2))))))))>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 8 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 8 (* 32 (/ 1 (pow x 2)))) (pow x 2))) 2) x)>
#<alt (/ (- (* -1 (/ (+ 32 (* 128 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 8 (/ 1 (pow x 2))))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 2 (+ (* 8 (/ 1 (pow x 2))) (/ 32 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 2 (+ (* 8 (/ 1 (pow x 2))) (+ (* 128 (/ 1 (pow x 6))) (/ 32 (pow x 4))))) x))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (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 (* -1 (+ (log 1/2) (log x)))>
#<alt (- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log -2) (log (/ 1 x))))>
#<alt (* -1 (+ (log -2) (+ (log (/ 1 x)) (* 4 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -2) (log (/ 1 x))))>
#<alt (- (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))) (+ (log -2) (+ (log (/ 1 x)) (* 4 (/ 1 (pow x 2))))))>
#<alt (* -1 (+ (log 2) (log (/ -1 x))))>
#<alt (* -1 (+ (log 2) (+ (log (/ -1 x)) (* 4 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 2) (log (/ -1 x))))>
#<alt (- (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 2) (+ (log (/ -1 x)) (* 4 (/ 1 (pow x 2))))))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
Calls

42 calls:

TimeVariablePointExpression
44.0ms
x
@-inf
(log (/ x 2))
12.0ms
x
@0
(log (/ x 2))
5.0ms
x
@inf
(log (/ x 2))
0.0ms
x
@inf
(log (/ x (+ 2 (* x (* x -1/2)))))
0.0ms
x
@0
(log (/ x (+ 2 (* x (* x -1/2)))))

rewrite352.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
4086×*-lowering-*.f32
4086×*-lowering-*.f64
3180×/-lowering-/.f32
3180×/-lowering-/.f64
1668×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02085
111478
281378
0863478
Stop Event
1×iter limit
1×node limit
Counts
14 → 629
Calls
Call 1
Inputs
(log (/ (+ 1 (pow (- 1 (* x x)) 1/2)) x))
(/ (+ 1 (pow (- 1 (* x x)) 1/2)) x)
(+ 1 (pow (- 1 (* x x)) 1/2))
(pow (- 1 (* x x)) 1/2)
(log (/ x 2))
(/ x 2)
(neg (log (/ x 2)))
(log (/ x (+ 2 (* x (* x -1/2)))))
(/ x (+ 2 (* x (* x -1/2))))
(+ 2 (* x (* x -1/2)))
(* x (* x -1/2))
(* x x)
(neg (log (/ x (+ 2 (* x (* x -1/2))))))
(* x -1/2)
Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (log.f64 (*.f64 x (-.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (-.f64 (log.f64 (-.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (log.f64 (-.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 x)))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) x)) (log.f64 (-.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (/.f64 (*.f64 x x) x)) (log.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))))
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) (neg.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))
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(-.f64 (log.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)))) (log.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (-.f64 #s(literal -2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))))) (/.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))))))
(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) (log.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 x (/.f64 x #s(literal -2 binary64))) #s(literal -2 binary64)))))))
(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))))) (log.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))) (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))))) (neg.f64 (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))) (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))) (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))) x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))) (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))) (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))) (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))) (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))))) #s(literal -1 binary64)) (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))
(*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x #s(literal -2 binary64))))))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))
(neg.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 x #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))

simplify262.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
3092×+-lowering-+.f64
3092×+-lowering-+.f32
2998×*-lowering-*.f32
2998×*-lowering-*.f64
1396×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03021606
19411382
229151332
083821332
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 1/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/32 (* 1/192 (pow x 2))))))))
(+ (log -2) (log (/ 1 x)))
(+ (log -2) (+ (log (/ 1 x)) (* 4 (/ 1 (pow x 2)))))
(+ (log -2) (+ (log (/ 1 x)) (+ (* 4 (/ 1 (pow x 2))) (/ 8 (pow x 4)))))
(+ (log -2) (+ (log (/ 1 x)) (+ (* 4 (/ 1 (pow x 2))) (+ (* 64/3 (/ 1 (pow x 6))) (/ 8 (pow x 4))))))
(+ (log 2) (log (/ -1 x)))
(+ (log 2) (+ (log (/ -1 x)) (* 4 (/ 1 (pow x 2)))))
(+ (log 2) (+ (log (/ -1 x)) (+ (* 4 (/ 1 (pow x 2))) (/ 8 (pow x 4)))))
(+ (log 2) (+ (log (/ -1 x)) (+ (* 4 (/ 1 (pow x 2))) (+ (* 64/3 (/ 1 (pow x 6))) (/ 8 (pow x 4))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/32 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/32 (* 1/128 (pow x 2))))))))
(/ -2 x)
(* -1 (/ (+ 2 (* 8 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 8 (* 32 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/ (- (* -1 (/ (+ 32 (* 128 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 8 (/ 1 (pow x 2))))) x)
(/ -2 x)
(* -1 (/ (+ 2 (* 8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 2 (+ (* 8 (/ 1 (pow x 2))) (/ 32 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 8 (/ 1 (pow x 2))) (+ (* 128 (/ 1 (pow x 6))) (/ 32 (pow x 4))))) x))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(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)
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4)) (+ (log 1/2) (log x)))
(* -1 (+ (log -2) (log (/ 1 x))))
(* -1 (+ (log -2) (+ (log (/ 1 x)) (* 4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -2) (log (/ 1 x))))
(- (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))) (+ (log -2) (+ (log (/ 1 x)) (* 4 (/ 1 (pow x 2))))))
(* -1 (+ (log 2) (log (/ -1 x))))
(* -1 (+ (log 2) (+ (log (/ -1 x)) (* 4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 2) (log (/ -1 x))))
(- (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 2) (+ (log (/ -1 x)) (* 4 (/ 1 (pow x 2))))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
Outputs
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -3/32 binary64))))) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x #s(literal -5/96 binary64))))))) (log.f64 x)))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))))
(log (* -1 (sqrt -1)))
(log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (sqrt -1))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* x (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(+.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(*.f64 x (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* x (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(*.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))
(+ (log 1/2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (+ (log 1/2) (log x)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(* -1 (+ (log 1/2) (log x)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(* -1 (+ (log 1/2) (log x)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(* -1 (+ (log 1/2) (log x)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64)))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64)))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64)))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64)))
(+ (log 1/2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 1/32 (pow x 2))))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/32 binary64)))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/32 (* 1/192 (pow x 2))))))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 x x) #s(literal 1/192 binary64)))))))))
(+ (log -2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+ (log -2) (+ (log (/ 1 x)) (* 4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (log.f64 x)))
(+ (log -2) (+ (log (/ 1 x)) (+ (* 4 (/ 1 (pow x 2))) (/ 8 (pow x 4)))))
(+.f64 (log.f64 #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (log.f64 x)) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+ (log -2) (+ (log (/ 1 x)) (+ (* 4 (/ 1 (pow x 2))) (+ (* 64/3 (/ 1 (pow x 6))) (/ 8 (pow x 4))))))
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 64/3 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+ (log 2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (+ (log (/ -1 x)) (* 4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(+ (log 2) (+ (log (/ -1 x)) (+ (* 4 (/ 1 (pow x 2))) (/ 8 (pow x 4)))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+ (log 2) (+ (log (/ -1 x)) (+ (* 4 (/ 1 (pow x 2))) (+ (* 64/3 (/ 1 (pow x 6))) (/ 8 (pow x 4))))))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 64/3 binary64) (pow.f64 x #s(literal 6 binary64))) (log.f64 #s(literal 2 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/8 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/32 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/32 binary64))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/32 (* 1/128 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 x x) #s(literal 1/128 binary64)))))))))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 8 (* 32 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -32 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 32 (* 128 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 8 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -128 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 2 (+ (* 8 (/ 1 (pow x 2))) (/ 32 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 #s(literal -32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(* -1 (/ (+ 2 (+ (* 8 (/ 1 (pow x 2))) (+ (* 128 (/ 1 (pow x 6))) (/ 32 (pow x 4))))) x))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(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)
(* -1 (+ (log 1/2) (log x)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(-.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(-.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/32 binary64))))) (log.f64 #s(literal 1/2 binary64))) (log.f64 x))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4)) (+ (log 1/2) (log x)))
(-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/32 binary64) (*.f64 x (*.f64 x #s(literal -1/192 binary64)))))))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(* -1 (+ (log -2) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (+ (log (/ 1 x)) (* 4 (/ 1 (pow x 2))))))
(+.f64 (-.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))
(- (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -2) (log (/ 1 x))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) #s(literal -4 binary64)) (*.f64 x x)) (-.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))))
(- (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))) (+ (log -2) (+ (log (/ 1 x)) (* 4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -64/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(* -1 (+ (log 2) (log (/ -1 x))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (+ (log 2) (+ (log (/ -1 x)) (* 4 (/ 1 (pow x 2))))))
(-.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 2 binary64)))
(- (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 2) (log (/ -1 x))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) #s(literal -4 binary64)) (*.f64 x x)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 2) (+ (log (/ -1 x)) (* 4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -64/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 2 binary64))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))

eval151.0ms (1.9%)

Compiler

Compiled 17250 to 2782 computations (83.9% saved)

prune112.0ms (1.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New7961797
Fresh000
Picked123
Done044
Total7977804
Accuracy
100.0%
Counts
804 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
✓99.1%
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
▶100.0%
(log.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))
✓99.9%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x))
✓99.9%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x))
✓99.8%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
✓99.1%
(log.f64 (/.f64 #s(literal 2 binary64) x))
Compiler

Compiled 86 to 59 computations (31.4% saved)

simplify178.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff0
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x)
✓cost-diff0
(log.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))
Rules
2032×+-lowering-+.f64
2032×+-lowering-+.f32
1796×sum3-define
1374×sum4-define
1248×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0839
11739
22439
33639
45539
59339
615239
738539
8174439
9382539
10683939
0822839
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log (/ (+ (sqrt (- 1 (* x x))) 1) x))
(/ (+ (sqrt (- 1 (* x x))) 1) x)
(+ (sqrt (- 1 (* x x))) 1)
(sqrt (- 1 (* x x)))
(- 1 (* x x))
1
(* x x)
x
Outputs
(log (/ (+ (sqrt (- 1 (* x x))) 1) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(/ (+ (sqrt (- 1 (* x x))) 1) x)
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(+ (sqrt (- 1 (* x x))) 1)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt (- 1 (* x x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x

localize49.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(log.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Results
38.0ms256×0valid
Compiler

Compiled 47 to 9 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log: 3.0ms (24% of total)
ival-div: 2.0ms (16% of total)
ival-mult: 2.0ms (16% of total)
ival-sqrt: 2.0ms (16% of total)
ival-sub: 1.0ms (8% of total)
ival-add: 1.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (log (/ (+ (sqrt (- 1 (* x x))) 1) x))>
#<alt (/ (+ (sqrt (- 1 (* x x))) 1) x)>
#<alt (+ (sqrt (- 1 (* x x))) 1)>
#<alt (sqrt (- 1 (* x x)))>
#<alt (* x x)>
Outputs
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))>
#<alt (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))>
#<alt (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))>
#<alt (log (* -1 (sqrt -1)))>
#<alt (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ 1 x))>
#<alt (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))>
#<alt (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* -1 (sqrt -1))>
#<alt (+ (* -1 (sqrt -1)) (/ 1 x))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (/ 1 x)))>
#<alt (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (- (sqrt -1) (/ 1 x))))>
#<alt (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))>
#<alt (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))>
#<alt (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))>
#<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
0.0ms
x
@0
(log (/ (+ (sqrt (- 1 (* x x))) 1) x))
0.0ms
x
@inf
(log (/ (+ (sqrt (- 1 (* x x))) 1) x))
0.0ms
x
@-inf
(log (/ (+ (sqrt (- 1 (* x x))) 1) x))
0.0ms
x
@-inf
(+ (sqrt (- 1 (* x x))) 1)
0.0ms
x
@-inf
(/ (+ (sqrt (- 1 (* x x))) 1) x)

rewrite287.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
2278×*-lowering-*.f32
2278×*-lowering-*.f64
1944×/-lowering-/.f32
1944×/-lowering-/.f64
1712×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0833
15332
240532
3505732
0806832
Stop Event
1×iter limit
1×node limit
Counts
5 → 261
Calls
Call 1
Inputs
(log (/ (+ (sqrt (- 1 (* x x))) 1) x))
(/ (+ (sqrt (- 1 (* x x))) 1) x)
(+ (sqrt (- 1 (* x x))) 1)
(sqrt (- 1 (* x x)))
(* x x)
Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (/.f64 #s(literal 1 binary64) x))))
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(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))
(*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 3 binary64)))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(exp.f64 (*.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 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify232.0ms (3%)

Algorithm
1×egg-herbie
Rules
2252×*-lowering-*.f32
2252×*-lowering-*.f64
1410×+-lowering-+.f64
1410×+-lowering-+.f32
1388×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0168707
1502599
21490563
34784555
08313555
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(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 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -3/32 binary64)))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 x x) #s(literal -5/96 binary64)))))) (log.f64 x)))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)))
(log (* -1 (sqrt -1)))
(log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) x) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -1 (sqrt -1))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* -1 (* x (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(+.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) x) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* -1 (* x (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) x) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))
(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)

eval42.0ms (0.5%)

Compiler

Compiled 7749 to 1160 computations (85% saved)

prune37.0ms (0.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New3210321
Fresh000
Picked011
Done066
Total3217328
Accuracy
100.0%
Counts
328 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
✓99.1%
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
✓100.0%
(log.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))
✓99.9%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x))
✓99.9%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x))
✓99.8%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
✓99.1%
(log.f64 (/.f64 #s(literal 2 binary64) x))
Compiler

Compiled 206 to 110 computations (46.6% saved)

regimes11.0ms (0.1%)

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

3 calls:

3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
3.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
100.0%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes10.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 #s(literal 2 binary64) x))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Outputs
(log.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))
Calls

3 calls:

3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
3.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
100.0%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes3.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 #s(literal 2 binary64) x))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x))
Outputs
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
28×+-commutative_binary64
24×*-commutative_binary64
12×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04694
17694
28894
39594
49794
Stop Event
1×saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 #s(literal 2 binary64) x))
Outputs
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) x))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 #s(literal 2 binary64) x))

soundness1.7s (21.6%)

Rules
4086×*-lowering-*.f32
4086×*-lowering-*.f64
3294×*-lowering-*.f32
3294×*-lowering-*.f64
3180×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0155730
1446630
21289605
34070593
08444593
036204
1242178
22094176
09573176
02085
111478
281378
0863478
0935
16435
265133
0840333
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 192 to 115 computations (40.1% saved)

preprocess58.0ms (0.7%)

Compiler

Compiled 224 to 112 computations (50% saved)

end0.0ms (0%)

Profiling

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