Hyperbolic arc-(co)secant

Time bar (total: 6.1s)

analyze4.0ms (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: 2.0ms
ival-div: 1.0ms (48.5% 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)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample987.0ms (16.3%)

Results
772.0ms8256×0valid
1.0ms16×0invalid
Precisions
Click to see histograms. Total time spent on operations: 557.0ms
ival-div: 196.0ms (35.2% of total)
ival-log: 118.0ms (21.2% of total)
ival-mult: 68.0ms (12.2% of total)
ival-sqrt: 66.0ms (11.9% of total)
ival-sub: 49.0ms (8.8% of total)
ival-add: 45.0ms (8.1% of total)
const: 11.0ms (2% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess236.0ms (3.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01841
14439
27836
317036
434336
569234
6122731
7262631
8473331
9696031
0912
11812
22511
33711
45611
59411
615311
738811
8174911
9386211
10690411
0829511
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 (fnmsub x x -1))) x))
(log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x))))
(log (/ (- -1 (sqrt (fnmsub x x -1))) x))
(neg (log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x)))))
(neg (log (/ (- -1 (sqrt (fnmsub x x -1))) x)))

explain113.0ms (1.9%)

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
56.0ms512×0valid
Compiler

Compiled 122 to 29 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 11.0ms (32.6% of total)
ival-log: 6.0ms (17.8% of total)
ival-sqrt: 6.0ms (17.8% of total)
ival-mult: 4.0ms (11.8% of total)
ival-sub: 3.0ms (8.9% of total)
ival-add: 3.0ms (8.9% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

prune7.0ms (0.1%)

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)

simplify151.0ms (2.5%)

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: 2 (0.0ms)

IterNodesCost
0949
11849
22544
33744
45644
59444
615344
738844
8174944
9386244
10690444
0829544
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)

localize60.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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 (/.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
39.0ms256×0valid
Compiler

Compiled 54 to 10 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41.7% of total)
ival-log: 3.0ms (17.9% of total)
ival-mult: 2.0ms (11.9% of total)
ival-sqrt: 2.0ms (11.9% of total)
ival-sub: 1.0ms (6% of total)
ival-add: 1.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (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
2.0ms
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))

rewrite222.0ms (3.7%)

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
0939
16339
264733
0836333
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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(+.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (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)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.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)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(+.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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (+.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 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))
(-.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.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)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(-.f64 (log.f64 (+.f64 x (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))) (log.f64 (*.f64 x (-.f64 #s(literal 0 binary64) 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)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) 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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x)))
(-.f64 (log.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) x)) (log.f64 x))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) #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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))) (+.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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 #s(literal 2 binary64) (log.f64 x))))))
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(*.f64 (-.f64 #s(literal 0 binary64) (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 x (*.f64 x (*.f64 x x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 x (*.f64 x (*.f64 x x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)))

simplify236.0ms (3.9%)

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
1446671
21287648
34077633
08449633
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 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 (-.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 x (*.f64 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 (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 (/.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 #s(literal -1/6 binary64) (*.f64 x 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 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 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 (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 (/.f64 #s(literal 1 binary64) x) (+.f64 (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 1/8 binary64) (*.f64 (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 x (*.f64 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 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(+.f64 (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 1/8 binary64) (*.f64 (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 (sqrt.f64 #s(literal -1 binary64)) (+.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 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (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 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (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 -1/16 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 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 (/.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 #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 #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 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (/.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 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 #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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (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 -1/16 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64)))))))

eval38.0ms (0.6%)

Compiler

Compiled 8157 to 1121 computations (86.3% saved)

prune36.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3055310
Fresh000
Picked101
Done000
Total3065311
Accuracy
100.0%
Counts
311 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(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))
▶99.8%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) x))
▶99.7%
(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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
▶99.0%
(log.f64 (/.f64 #s(literal 2 binary64) x))
Compiler

Compiled 136 to 92 computations (32.4% saved)

simplify147.0ms (2.4%)

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 x (*.f64 x #s(literal -1/8 binary64)))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
✓cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
Rules
3564×sum3-define
2438×fma-define
2078×fma-lowering-fma.f32
2078×fma-lowering-fma.f64
1744×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034291
182265
2232260
3518260
4814260
51030260
61115260
71480260
84433260
96736260
08580260
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log (/ (+ 1 (sqrt (- 1 (* x x)))) x))
(/ (+ 1 (sqrt (- 1 (* x x)))) x)
(+ 1 (sqrt (- 1 (* x x))))
1
(sqrt (- 1 (* x x)))
(- 1 (* x x))
(* x x)
x
(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))
(* 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
(log (/ (+ 1 (sqrt (- 1 (* x x)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(/ (+ 1 (sqrt (- 1 (* x x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(+ 1 (sqrt (- 1 (* x x))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(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)
x
(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 x (*.f64 x #s(literal -1/2 binary64)))) x))
(/ (+ 2 (* x (* x -1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x)
(+ 2 (* x (* x -1/2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
2
#s(literal 2 binary64)
(* x (* x -1/2))
(*.f64 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) x))
(/ (+ 2 (* (* x x) (+ -1/2 (* x (* x -1/8))))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) x)
(+ 2 (* (* x x) (+ -1/2 (* x (* x -1/8)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))
2
#s(literal 2 binary64)
(* (* x x) (+ -1/2 (* x (* x -1/8))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal -1/8 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (* x -1/8))
(*.f64 x (*.f64 x #s(literal -1/8 binary64)))
(* x -1/8)
(*.f64 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 (*.f64 x 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))
(/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x 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)
(+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x 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))))))))
2
#s(literal 2 binary64)
(* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))
(*.f64 (*.f64 x 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 x)
(*.f64 x x)
x
(+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))
(+.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))))))
-1/2
#s(literal -1/2 binary64)
(* (* x x) (+ -1/8 (* (* x x) -1/16)))
(*.f64 x (*.f64 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)

localize147.0ms (2.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓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 #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 x #s(literal -1/8 binary64))
✓accuracy100.0%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) x))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) x)
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 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 (+.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%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
99.0ms256×0valid
Compiler

Compiled 293 to 35 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 16.0ms (26.6% of total)
ival-add: 15.0ms (25% of total)
ival-log: 15.0ms (25% of total)
ival-div: 9.0ms (15% of total)
ival-sub: 2.0ms (3.3% of total)
ival-sqrt: 2.0ms (3.3% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series70.0ms (1.2%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (log (/ (+ 1 (sqrt (- 1 (* x x)))) x))>
#<alt (/ (+ 1 (sqrt (- 1 (* x x)))) x)>
#<alt (+ 1 (sqrt (- 1 (* x x))))>
#<alt (sqrt (- 1 (* x 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 -1/8)>
#<alt (* (* x x) (+ -1/8 (* (* x x) -1/16)))>
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 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 (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<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

63 calls:

TimeVariablePointExpression
27.0ms
x
@0
(log (/ 2 x))
17.0ms
x
@-inf
(log (/ 2 x))
8.0ms
x
@inf
(log (/ 2 x))
4.0ms
x
@-inf
(log (/ (+ 2 (* (* x x) (+ -1/2 (* x (* x -1/8))))) x))
1.0ms
x
@inf
(log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) x))

rewrite405.0ms (6.7%)

Algorithm
1×batch-egg-rewrite
Rules
3114×*-lowering-*.f32
3114×*-lowering-*.f64
2630×/-lowering-/.f32
2630×/-lowering-/.f64
2412×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034224
1218201
21980197
08977197
Stop Event
1×iter limit
1×node limit
Counts
21 → 559
Calls
Call 1
Inputs
(log (/ (+ 1 (sqrt (- 1 (* x x)))) x))
(/ (+ 1 (sqrt (- 1 (* x x)))) x)
(+ 1 (sqrt (- 1 (* x x))))
(sqrt (- 1 (* x 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 -1/8)
(* (* x x) (+ -1/8 (* (* x x) -1/16)))
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 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (-.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 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (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 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.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))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) 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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(-.f64 (log.f64 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #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))) (log1p.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.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) (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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 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)))))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))))
(/.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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (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)))
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(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))))) (-.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)))))))
(/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.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 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))))) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) (*.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)))))))
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(*.f64 x (*.f64 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))))))))
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(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) x)
(+.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/16 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64))) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(fma.f64 (*.f64 x #s(literal -1/8 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x 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 (*.f64 x x) (*.f64 x x)) #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 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 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/4096 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))
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(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/256 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x 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 (*.f64 x x) (*.f64 x x)) #s(literal 1/256 binary64))) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))))
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(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/256 binary64))))) (neg.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/256 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))))
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(*.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)

simplify303.0ms (5%)

Algorithm
1×egg-herbie
Rules
4430×+-lowering-+.f64
4430×+-lowering-+.f32
3376×*-lowering-*.f32
3376×*-lowering-*.f64
1690×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03262656
19962516
233182428
084962428
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
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 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (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)))
(+ (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))))
(+ (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))))
(/ 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))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -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)))
(+ 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)))
(* -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)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -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
(+ (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 (*.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 (*.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 2 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 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.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 #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 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 (/.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)))))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (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 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)
(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) (*.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) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -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 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 (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))))
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eval164.0ms (2.7%)

Compiler

Compiled 22312 to 2506 computations (88.8% saved)

prune109.0ms (1.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New8101811
Fresh000
Picked055
Done000
Total8106816
Accuracy
100.0%
Counts
816 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(log.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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)))))) (+.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))))))))) (*.f64 x (-.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 x (*.f64 x #s(literal -1/16 binary64))))))))))))
✓99.8%
(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))
✓99.8%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) x))
✓99.7%
(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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
✓99.0%
(log.f64 (/.f64 #s(literal 2 binary64) x))
Compiler

Compiled 129 to 68 computations (47.3% saved)

simplify281.0ms (4.6%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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)))))) (+.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))))))))
✓cost-diff0
(-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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)))))) (+.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)))))))))
✓cost-diff128
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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)))))) (+.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))))))))) (*.f64 x (-.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 x (*.f64 x #s(literal -1/16 binary64)))))))))))
✓cost-diff128
(log.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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)))))) (+.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))))))))) (*.f64 x (-.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 x (*.f64 x #s(literal -1/16 binary64))))))))))))
Rules
3520×*-lowering-*.f32
3520×*-lowering-*.f64
1880×fma-define
1866×+-lowering-+.f64
1866×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022345
178299
2437282
32756282
08199282
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log (/ (- 4 (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))) (* x (- 2 (* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))))))
(/ (- 4 (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))) (* x (- 2 (* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))))))
(- 4 (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))))
4
(* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))
(* (* x x) (* x x))
(* x x)
x
(* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))
(+ -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))
(* x -1/16)
-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))))))))
2
(* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))
(* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))
Outputs
(log (/ (- 4 (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))) (* x (- 2 (* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))))))
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (*.f64 (*.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))))))) (*.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)))))))) (-.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))))))))))
(/ (- 4 (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))) (* x (- 2 (* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (*.f64 (*.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))))))) (*.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)))))))) (-.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)))))))))
(- 4 (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))))
(-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.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))))) (+.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))))))))
4
#s(literal 4 binary64)
(* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.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))))) (+.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) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
x
(* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))
(*.f64 (+.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))))) (+.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 (* (* 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))
(* x -1/16)
(*.f64 x #s(literal -1/16 binary64))
-1/16
#s(literal -1/16 binary64)
(* x (- 2 (* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))))
(*.f64 x (-.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 (* 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 (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))
(*.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))))))

localize128.0ms (2.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (+.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)))))) (+.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)))))))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))
✓accuracy100.0%
(*.f64 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)))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x x))
Results
78.0ms254×0valid
2.0ms2×3valid
Compiler

Compiled 347 to 23 computations (93.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 38.0ms (64.3% of total)
ival-sub: 12.0ms (20.3% of total)
ival-add: 3.0ms (5.1% of total)
ival-log: 3.0ms (5.1% of total)
ival-div: 2.0ms (3.4% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
8 → 96
Calls
Call 1
Inputs
#<alt (log (/ (- 4 (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))) (* x (- 2 (* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))))))>
#<alt (/ (- 4 (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))) (* x (- 2 (* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))))))>
#<alt (- 4 (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))))>
#<alt (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))>
#<alt (* (* x x) (* x x))>
#<alt (* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))>
#<alt (* (* x x) (+ -1/8 (* x (* x -1/16))))>
#<alt (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))>
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 -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 4>
#<alt (+ 4 (* -1/4 (pow x 4)))>
#<alt (+ 4 (* (pow x 4) (- (* -1/8 (pow x 2)) 1/4)))>
#<alt (+ 4 (* (pow x 4) (- (* (pow x 2) (- (* -5/64 (pow x 2)) 1/8)) 1/4)))>
#<alt (* -1/256 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* -1/256 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4 (* 1/8 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))>
#<alt (* 1/256 (pow x 12))>
#<alt (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))>
#<alt (* 1/256 (pow x 12))>
#<alt (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* x (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<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) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<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)))))))>
#<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))))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/8 (pow x 2)))>
#<alt (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2)))))>
#<alt (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2)))))))>
#<alt (* 1/256 (pow x 8))>
#<alt (* (pow x 8) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))>
#<alt (* 1/256 (pow x 8))>
#<alt (* (pow x 8) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))>
Calls

24 calls:

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

rewrite541.0ms (8.9%)

Algorithm
1×batch-egg-rewrite
Rules
3692×*-lowering-*.f32
3692×*-lowering-*.f64
3450×/-lowering-/.f32
3450×/-lowering-/.f64
2154×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022181
1148114
21421111
08176111
Stop Event
1×iter limit
1×node limit
Counts
8 → 469
Calls
Call 1
Inputs
(log (/ (- 4 (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))) (* x (- 2 (* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))))))
(/ (- 4 (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))) (* x (- 2 (* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))))))
(- 4 (* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))))
(* (* (* x x) (* x x)) (* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16)))))))
(* (* x x) (* x x))
(* x (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))
(* (* x x) (+ -1/8 (* x (* x -1/16))))
(* (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))) (+ -1/2 (* (* x x) (+ -1/8 (* x (* x -1/16))))))
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 x (*.f64 x #s(literal -1/16 binary64)))))))) x))
(+.f64 (log.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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))))))))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.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))))))))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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)))))))))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (-.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)))))))))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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)))))))))))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.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)))))))))))))
(+.f64 #s(literal 0 binary64) (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 x (*.f64 x #s(literal -1/16 binary64)))))))) x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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)) (log.f64 (/.f64 #s(literal 1 binary64) (-.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)))))))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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)) (neg.f64 (log.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)))))))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.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))))))))))) (log.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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))))))))))))
(+.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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)))))))))))) (log.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))))))))))
(+.f64 (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.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)))))) (*.f64 (+.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)))))) (+.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)))))))))))) (log.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.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))))))) (+.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))))))))))))
(-.f64 (log.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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))))))))))) (log.f64 (*.f64 x (-.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)))))))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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)))))))))))) (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.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))))))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (/.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))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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)) (log.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))))))))))
(-.f64 (log.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.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)))))) (*.f64 (+.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)))))) (+.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))))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.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)))))) (*.f64 (+.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)))))) (+.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)))))))))))) (log.f64 (*.f64 (*.f64 x (-.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))))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 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))))))) (*.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))))))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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)))))))))))))))
(-.f64 (log.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (+.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)))))) (+.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))))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.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))))))) (*.f64 (*.f64 x (*.f64 x (*.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))))))))))) (log.f64 (*.f64 (*.f64 x (-.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))))))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 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))))))) (*.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)))))))))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.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)))))
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(*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) #s(literal 1/2 binary64)))) (-.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)))))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.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)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.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))))))) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.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)))))) (-.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)))))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.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)))))) (*.f64 (+.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)))))) (+.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))))))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.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))))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.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))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.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)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.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))))))) (+.f64 #s(literal 1/4 binary64) (*.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)))))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.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))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.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)))))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.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))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.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))))))))))))
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.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))))))) (+.f64 #s(literal 1/4 binary64) (*.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)))))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.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))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.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))))))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.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))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.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))))))))))
(*.f64 (*.f64 (+.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)))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (+.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)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.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))))))))
(*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) (+.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))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))))) (+.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))))))) (/.f64 #s(literal 1 binary64) (-.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))))))))
(*.f64 (exp.f64 (log.f64 (+.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)))))))) (exp.f64 (log.f64 (+.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)))))))))

simplify256.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
3074×+-lowering-+.f64
3074×+-lowering-+.f32
2986×*-lowering-*.f32
2986×*-lowering-*.f64
1356×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01791123
15061073
215831048
349171046
082071046
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
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 -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))))
(+ (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))))
(/ 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))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))
4
(+ 4 (* -1/4 (pow x 4)))
(+ 4 (* (pow x 4) (- (* -1/8 (pow x 2)) 1/4)))
(+ 4 (* (pow x 4) (- (* (pow x 2) (- (* -5/64 (pow x 2)) 1/8)) 1/4)))
(* -1/256 (pow x 12))
(* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))
(* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(* -1/256 (pow x 12))
(* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))
(* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* 1/8 (pow x 2))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))
(* 1/256 (pow x 12))
(* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(* 1/256 (pow x 12))
(* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1/2 x)
(* x (- (* -1/8 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* x (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* -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) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/16 (pow x 5))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (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))))))
1/4
(+ 1/4 (* 1/8 (pow x 2)))
(+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2)))))))
(* 1/256 (pow x 8))
(* (pow x 8) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(* 1/256 (pow x 8))
(* (pow x 8) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
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 #s(literal -1/4 binary64) (*.f64 x x)) (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 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 x (*.f64 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 -1/16) (* -5 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 (log.f64 x) #s(literal 5 binary64)))
(+ (log -1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(- (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))
(+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (log.f64 #s(literal -1/16 binary64)) (/.f64 #s(literal -136/3 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+ (log 1/16) (* -5 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log 1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (log.f64 #s(literal 1/16 binary64))))
(+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(- (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/16 binary64)) (/.f64 #s(literal -136/3 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/ 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)
(* -1/16 (pow x 5))
(*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.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 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.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 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1/16 (pow x 5))
(*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.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 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -1/16 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 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 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
4
#s(literal 4 binary64)
(+ 4 (* -1/4 (pow x 4)))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(+ 4 (* (pow x 4) (- (* -1/8 (pow x 2)) 1/4)))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
(+ 4 (* (pow x 4) (- (* (pow x 2) (- (* -5/64 (pow x 2)) 1/8)) 1/4)))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -5/64 binary64))))))))
(* -1/256 (pow x 12))
(*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -1/256 binary64) (/.f64 (+.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -5/64 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 5/64 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1/256 (pow x 12))
(*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -1/256 binary64) (/.f64 (+.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -5/64 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 5/64 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/4 (pow x 4))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/4 (* 1/8 (pow x 2))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 5/64 binary64)))))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/64 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64))))))))
(* 1/256 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/256 binary64))
(* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x x)) (/.f64 #s(literal 5/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 5/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/256 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/256 binary64))
(* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x x)) (/.f64 #s(literal 5/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 5/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/8 (pow x 2)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* x (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(*.f64 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 (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(*.f64 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)))))))
(* -1/16 (pow x 5))
(*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.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 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.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) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.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 5))
(*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (-.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 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -1/16 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -1/16 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal -1/16 binary64)))))
(* -1/16 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x x) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/8 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 5/64 binary64))))))
(+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2)))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/64 binary64) (*.f64 (*.f64 x x) #s(literal 1/64 binary64)))))))
(* 1/256 (pow x 8))
(*.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x x)) (/.f64 #s(literal 5/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 5/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/256 (pow x 8))
(*.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x x)) (/.f64 #s(literal 5/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 5/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))

eval186.0ms (3.1%)

Compiler

Compiled 73266 to 3361 computations (95.4% saved)

prune100.0ms (1.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New6810681
Fresh000
Picked011
Done055
Total6816687
Accuracy
100.0%
Counts
687 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(log.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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)))))) (+.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))))))))) (*.f64 x (-.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 x (*.f64 x #s(literal -1/16 binary64))))))))))))
✓99.8%
(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))
✓99.8%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) x))
✓99.7%
(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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
✓99.0%
(log.f64 (/.f64 #s(literal 2 binary64) x))
Compiler

Compiled 266 to 122 computations (54.1% saved)

regimes16.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 #s(literal 2 binary64) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 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 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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)))))) (+.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))))))))) (*.f64 x (-.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 x (*.f64 x #s(literal -1/16 binary64))))))))))))
(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) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
Calls

3 calls:

10.0ms
(+.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
5 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 #s(literal 2 binary64) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 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 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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)))))) (+.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))))))))) (*.f64 x (-.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 x (*.f64 x #s(literal -1/16 binary64))))))))))))
Outputs
(log.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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)))))) (+.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))))))))) (*.f64 x (-.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 x (*.f64 x #s(literal -1/16 binary64))))))))))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 #s(literal 2 binary64) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 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
99.8%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))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal -1/8 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))
(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:

1.0ms
x
Results
AccuracySegmentsBranch
99.7%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
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify18.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
60×*-commutative_binary64
54×+-commutative_binary64
36×sub-neg_binary64
30×neg-sub0_binary64
30×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050123
191123
2118123
3139123
4154123
5169123
6180123
7195123
8207123
9213123
10216123
11217123
Stop Event
1×saturated
Calls
Call 1
Inputs
(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 4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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)))))) (+.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))))))))) (*.f64 x (-.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 x (*.f64 x #s(literal -1/16 binary64))))))))))))
(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 x (*.f64 x #s(literal -1/8 binary64)))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
(log.f64 (/.f64 #s(literal 2 binary64) x))
Outputs
(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 4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.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)))))) (+.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))))))))) (*.f64 x (-.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 x (*.f64 x #s(literal -1/16 binary64))))))))))))
(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 x (*.f64 x #s(literal -1/8 binary64)))))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
(log.f64 (/.f64 #s(literal 2 binary64) x))

soundness1.0s (16.8%)

Rules
3126×*-lowering-*.f32
3126×*-lowering-*.f64
3114×*-lowering-*.f32
3114×*-lowering-*.f64
2984×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0155730
1446671
21287648
34077633
08449633
034224
1218201
21980197
08977197
0939
16339
264733
0836333
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 172 to 85 computations (50.6% saved)

preprocess68.0ms (1.1%)

Compiler

Compiled 276 to 118 computations (57.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...