2isqrt (example 3.6)

Time bar (total: 10.9s)

analyze3.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 19 to 12 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
...c/correct-round.rkt:119:19: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)

sample2.1s (19.7%)

Results
1.3s6401×1valid
507.0ms1675×2valid
16.0ms180×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-sqrt: 338.0ms (24.5% of total)
ival-div: 326.0ms (23.6% of total)
backward-pass: 170.0ms (12.3% of total)
...c/correct-round.rkt:119:19: 158.0ms (11.4% of total)
ival-sub: 107.0ms (7.8% of total)
ival-add: 100.0ms (7.2% of total)
ival->: 100.0ms (7.2% of total)
ival-<: 38.0ms (2.8% of total)
ival-and: 27.0ms (2% of total)
const: 16.0ms (1.2% of total)
Bogosity

preprocess53.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
308×fnmadd-define
302×sum3-define
248×fmsub-define
232×fnmsub-define
194×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01626
13724
27123
313123
423323
544723
667323
789723
8103723
9118323
10129323
11132923
12133723
087
1177
2257
3367
4507
5877
61577
72527
83517
94837
105947
116307
126387
06387
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
Outputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Call 2
Inputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(- (/ 1 (sqrt (neg x))) (/ 1 (sqrt (+ (neg x) 1))))
(neg (- (/ 1 (sqrt (neg x))) (/ 1 (sqrt (+ (neg x) 1)))))
Outputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(- (rsqrt x) (rsqrt (+ 1 x)))
(- (/ 1 (sqrt (neg x))) (/ 1 (sqrt (+ (neg x) 1))))
(- (rsqrt (neg x)) (rsqrt (- 1 x)))
(neg (- (/ 1 (sqrt (neg x))) (/ 1 (sqrt (+ (neg x) 1)))))
(- (rsqrt (- 1 x)) (rsqrt (neg x)))

explain178.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1752(1.3490569920047862e+215)0-(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
00-0-x
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
00-0-(sqrt.f64 x)
00-0-(+.f64 x #s(literal 1 binary64))
Results
109.0ms400×1valid
29.0ms108×2valid
0.0ms4×0valid
Compiler

Compiled 80 to 26 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-sqrt: 54.0ms (56.4% of total)
ival-div: 17.0ms (17.8% of total)
backward-pass: 10.0ms (10.4% of total)
ival-sub: 7.0ms (7.3% of total)
ival-add: 7.0ms (7.3% of total)
const: 1.0ms (1% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶38.5%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify22.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Rules
156×fnmadd-define
138×sum3-define
112×fma-lowering-fma.f32
112×fnmsub-define
112×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11724
22524
33624
45024
58724
615724
725224
835124
948324
1059424
1163024
1263824
063824
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(/ 1 (sqrt x))
1
(sqrt x)
x
(/ 1 (sqrt (+ x 1)))
(sqrt (+ x 1))
(+ x 1)
Outputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/ 1 (sqrt x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
1
#s(literal 1 binary64)
(sqrt x)
(sqrt.f64 x)
x
(/ 1 (sqrt (+ x 1)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt (+ x 1))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)

localize68.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓accuracy38.5%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
40.0ms200×1valid
15.0ms54×2valid
0.0ms2×0valid
Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 12.0ms (36.2% of total)
ival-sqrt: 9.0ms (27.1% of total)
backward-pass: 6.0ms (18.1% of total)
ival-sub: 3.0ms (9% of total)
ival-add: 3.0ms (9% of total)
const: 1.0ms (3% of total)

series6.0ms (0.1%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))>
#<alt (/ 1 (sqrt x))>
#<alt (sqrt x)>
#<alt (/ 1 (sqrt (+ x 1)))>
#<alt (sqrt (+ x 1))>
Outputs
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 x)) x)>
#<alt (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)>
#<alt (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))>
#<alt (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))>
#<alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
1.0ms
x
@inf
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
1.0ms
x
@-inf
(sqrt (+ x 1))
1.0ms
x
@-inf
(/ 1 (sqrt (+ x 1)))
1.0ms
x
@-inf
(/ 1 (sqrt x))

rewrite245.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
2958×*-lowering-*.f32
2958×*-lowering-*.f64
2750×/-lowering-/.f32
2750×/-lowering-/.f64
1418×sum5-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
16419
259819
3726119
0822419
Stop Event
1×iter limit
1×node limit
Counts
5 → 265
Calls
Call 1
Inputs
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
(/ 1 (sqrt x))
(sqrt x)
(/ 1 (sqrt (+ x 1)))
(sqrt (+ x 1))
Outputs
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))))
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(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
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(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))

simplify209.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
2996×*-lowering-*.f32
2996×*-lowering-*.f64
2078×sum4-define
1746×+-lowering-+.f64
1746×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0155642
1479552
21688526
36814526
08132526
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Outputs
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 x)) x)
(/.f64 (-.f64 (sqrt.f64 x) x) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -3/8 binary64))))))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) x)
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (*.f64 x x))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (*.f64 x x))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 3/8 binary64)))))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal -5/16 binary64)))))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 x))) (*.f64 x (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))

eval39.0ms (0.4%)

Compiler

Compiled 7603 to 953 computations (87.5% saved)

prune64.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New31213325
Fresh000
Picked101
Done000
Total31313326
Accuracy
99.8%
Counts
326 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.6%
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
39.6%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
81.5%
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (*.f64 x x))
▶98.9%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) x)
38.5%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶32.8%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
33.0%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
5.4%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
▶30.2%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
31.2%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶39.6%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
65.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
▶5.4%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 380 to 242 computations (36.3% saved)

simplify299.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) x)
✓cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
✓cost-diff256
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
✓cost-diff384
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓cost-diff0
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓cost-diff0
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) x)
Rules
1962×*-lowering-*.f32
1962×*-lowering-*.f64
1436×--lowering--.f32
1436×--lowering--.f64
1232×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025155
162147
2126139
3253139
4515139
51159139
63674139
08228139
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (/ -1/2 x) (- (sqrt (/ 1 x)) (sqrt x))) x)
(* (/ -1/2 x) (- (sqrt (/ 1 x)) (sqrt x)))
(/ -1/2 x)
-1/2
x
(- (sqrt (/ 1 x)) (sqrt x))
(sqrt (/ 1 x))
(/ 1 x)
1
(sqrt x)
(sqrt (/ 1 x))
(/ 1 x)
1
x
(- (/ 1 (sqrt x)) (sqrt (/ 1 x)))
(/ 1 (sqrt x))
1
(sqrt x)
x
(sqrt (/ 1 x))
(/ 1 x)
(- (pow x -1/2) (/ 1 (sqrt (+ x 1))))
(pow x -1/2)
x
-1/2
(/ 1 (sqrt (+ x 1)))
1
(sqrt (+ x 1))
(+ x 1)
(* (/ (- (+ 1 x) x) (+ x (sqrt (* x (+ 1 x))))) (pow (+ 1 x) -1/2))
(/ (- (+ 1 x) x) (+ x (sqrt (* x (+ 1 x)))))
(- (+ 1 x) x)
(+ 1 x)
1
x
(+ x (sqrt (* x (+ 1 x))))
(sqrt (* x (+ 1 x)))
(* x (+ 1 x))
(pow (+ 1 x) -1/2)
-1/2
Outputs
(/ (* (/ -1/2 x) (- (sqrt (/ 1 x)) (sqrt x))) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x))
(* (/ -1/2 x) (- (sqrt (/ 1 x)) (sqrt x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(- (sqrt (/ 1 x)) (sqrt x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(sqrt x)
(sqrt.f64 x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(- (/ 1 (sqrt x)) (sqrt (/ 1 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 1 (sqrt x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
1
#s(literal 1 binary64)
(sqrt x)
(sqrt.f64 x)
x
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(- (pow x -1/2) (/ 1 (sqrt (+ x 1))))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(pow x -1/2)
(pow.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(/ 1 (sqrt (+ x 1)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(sqrt (+ x 1))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
(* (/ (- (+ 1 x) x) (+ x (sqrt (* x (+ 1 x))))) (pow (+ 1 x) -1/2))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/ (- (+ 1 x) x) (+ x (sqrt (* x (+ 1 x)))))
(/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(- (+ 1 x) x)
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
x
(+ x (sqrt (* x (+ 1 x))))
(+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(sqrt (* x (+ 1 x)))
(sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(pow (+ 1 x) -1/2)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize456.0ms (4.2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓accuracy99.7%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓accuracy50.6%
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓accuracy5.5%
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓accuracy38.5%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy99.8%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) x)
✓accuracy99.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
Results
333.0ms201×2valid
38.0ms55×1valid
Compiler

Compiled 179 to 26 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 228.0ms
ival-div: 58.0ms (25.5% of total)
ival-pow: 52.0ms (22.9% of total)
ival-sqrt: 48.0ms (21.1% of total)
backward-pass: 27.0ms (11.9% of total)
ival-mult: 15.0ms (6.6% of total)
ival-sub: 14.0ms (6.2% of total)
ival-add: 11.0ms (4.8% of total)
const: 1.0ms (0.4% of total)

series16.0ms (0.1%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/ (* (/ -1/2 x) (- (sqrt (/ 1 x)) (sqrt x))) x)>
#<alt (* (/ -1/2 x) (- (sqrt (/ 1 x)) (sqrt x)))>
#<alt (/ -1/2 x)>
#<alt (- (sqrt (/ 1 x)) (sqrt x))>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (- (/ 1 (sqrt x)) (sqrt (/ 1 x)))>
#<alt (/ 1 (sqrt x))>
#<alt (sqrt x)>
#<alt (- (pow x -1/2) (/ 1 (sqrt (+ x 1))))>
#<alt (pow x -1/2)>
#<alt (/ 1 (sqrt (+ x 1)))>
#<alt (sqrt (+ x 1))>
#<alt (* (/ (- (+ 1 x) x) (+ x (sqrt (* x (+ 1 x))))) (pow (+ 1 x) -1/2))>
#<alt (/ (- (+ 1 x) x) (+ x (sqrt (* x (+ 1 x)))))>
#<alt (- (+ 1 x) x)>
#<alt (+ 1 x)>
#<alt (+ x 1)>
#<alt (sqrt (* x (+ 1 x)))>
#<alt (* x (+ 1 x))>
Outputs
#<alt (* -1/2 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (* -1 (sqrt x))>
#<alt (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))>
#<alt (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))>
#<alt (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<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 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 x)) x)>
#<alt (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)>
#<alt (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))>
#<alt (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x))))>
#<alt (+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1))))>
#<alt (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2))))))))) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* 1/4 (* (sqrt x) (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x))>
#<alt (sqrt (/ 1 x))>
#<alt (- (sqrt (/ 1 x)) 1)>
#<alt (+ (sqrt (/ 1 x)) (* x (- (* -1 (* x (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))>
#<alt (+ (sqrt (/ 1 x)) (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow x 2))) (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x)>
#<alt (/ -1 (* x (- (pow (sqrt -1) 2) 1)))>
#<alt (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (- (pow (sqrt -1) 2) 1) 2)))) (/ 1 (- (pow (sqrt -1) 2) 1))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (* x (- (pow (sqrt -1) 2) 1)))) (+ (/ 1/16 (* x (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1/16 (* x (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))))))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))>
#<alt (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))>
#<alt (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))>
#<alt (* -1 (* x (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* (/ (- (+ 1 x) x) (+ x (sqrt (* x (+ 1 x))))) (pow (+ 1 x) -1/2))
1.0ms
x
@0
(/ -1/2 x)
1.0ms
x
@0
(* (/ (- (+ 1 x) x) (+ x (sqrt (* x (+ 1 x))))) (pow (+ 1 x) -1/2))
1.0ms
x
@0
(/ (* (/ -1/2 x) (- (sqrt (/ 1 x)) (sqrt x))) x)
1.0ms
x
@-inf
(/ (* (/ -1/2 x) (- (sqrt (/ 1 x)) (sqrt x))) x)

rewrite392.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
4106×*-lowering-*.f32
4106×*-lowering-*.f64
2660×/-lowering-/.f32
2660×/-lowering-/.f64
2406×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025115
118994
2182085
0862385
Stop Event
1×iter limit
1×node limit
Counts
20 → 619
Calls
Call 1
Inputs
(/ (* (/ -1/2 x) (- (sqrt (/ 1 x)) (sqrt x))) x)
(* (/ -1/2 x) (- (sqrt (/ 1 x)) (sqrt x)))
(/ -1/2 x)
(- (sqrt (/ 1 x)) (sqrt x))
(sqrt (/ 1 x))
(/ 1 x)
(- (/ 1 (sqrt x)) (sqrt (/ 1 x)))
(/ 1 (sqrt x))
(sqrt x)
(- (pow x -1/2) (/ 1 (sqrt (+ x 1))))
(pow x -1/2)
(/ 1 (sqrt (+ x 1)))
(sqrt (+ x 1))
(* (/ (- (+ 1 x) x) (+ x (sqrt (* x (+ 1 x))))) (pow (+ 1 x) -1/2))
(/ (- (+ 1 x) x) (+ x (sqrt (* x (+ 1 x)))))
(- (+ 1 x) x)
(+ 1 x)
(+ x 1)
(sqrt (* x (+ 1 x)))
(* x (+ 1 x))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64))))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))) (*.f64 (/.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) x))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) x)) (/.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) x)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) x))
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(pow.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) x)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) x))) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(exp.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) x)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))

simplify288.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
3596×*-lowering-*.f32
3596×*-lowering-*.f64
2292×+-lowering-+.f64
2292×+-lowering-+.f32
1380×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04222461
113871797
256351773
082601773
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* 1/2 (sqrt (/ 1 x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
0
0
0
0
0
0
0
0
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* x (- (* -1/2 (sqrt (/ 1 x))) (/ 1 x))))
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))) (/ 1 x))))
(+ (sqrt (/ 1 x)) (* x (- (+ (* -1/2 (sqrt (/ 1 x))) (* x (+ (* -1 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/8 (sqrt (/ 1 x))) (+ (* 1/2 (/ 1 x)) (* x (- (+ (* -5/16 (sqrt (/ 1 x))) (+ (* 1/2 (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (* 3/8 (/ 1 x)))))))))) (/ 1 x))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1))))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2))))))))) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* 1/4 (* (sqrt x) (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))))) x)) (+ (* -1/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 1)))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) x))
(sqrt (/ 1 x))
(- (sqrt (/ 1 x)) 1)
(+ (sqrt (/ 1 x)) (* x (- (* -1 (* x (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))
(+ (sqrt (/ 1 x)) (* x (- (* x (- (* x (- (* 1/2 (/ 1 (pow x 2))) (* -1 (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (/ 1 x))))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x)
(/ -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (- (pow (sqrt -1) 2) 1) 2)))) (/ 1 (- (pow (sqrt -1) 2) 1))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (* x (- (pow (sqrt -1) 2) 1)))) (+ (/ 1/16 (* x (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1/16 (* x (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))))))) x)) (* 1/2 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) (/ 1 (- (pow (sqrt -1) 2) 1))) x))
1
1
1
1
1
1
1
1
1
1
1
1
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(sqrt x)
(+ (sqrt x) (* 1/2 (sqrt (pow x 3))))
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))
x
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
Outputs
(* -1/2 (sqrt (/ 1 (pow x 5))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
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(*.f64 x (+.f64 #s(literal 1 binary64) x))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))

eval187.0ms (1.7%)

Compiler

Compiled 22540 to 2902 computations (87.1% saved)

prune146.0ms (1.3%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New1184231207
Fresh628
Picked415
Done000
Total1194261220
Accuracy
100.0%
Counts
1220 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(pow.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64))
5.4%
(pow.f64 x #s(literal -1/2 binary64))
82.0%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
▶99.0%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64))) x)
81.1%
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (*.f64 x x))
39.6%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
▶28.9%
(/.f64 (+.f64 (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))
98.8%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))) x)
98.7%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) x)
98.8%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))) x)
98.6%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) x)
99.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
5.4%
(/.f64 (sqrt.f64 x) x)
5.4%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
38.5%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
24.3%
(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
39.3%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
39.4%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.5%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.4%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶99.5%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶99.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
65.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
38.4%
(sqrt.f64 (/.f64 x (*.f64 x x)))
✓5.4%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
▶37.3%
#s(literal 0 binary64)
Compiler

Compiled 745 to 496 computations (33.4% saved)

simplify268.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 (sqrt.f64 x) #s(literal -2 binary64))
✓cost-diff0
(+.f64 (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))))
✓cost-diff0
(/.f64 (+.f64 (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
✓cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))
✓cost-diff128
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64)))
✓cost-diff128
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64))) x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) x)
✓cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓cost-diff0
(-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x)))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x)
✓cost-diff0
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
Rules
3736×*-lowering-*.f32
3736×*-lowering-*.f64
2192×/-lowering-/.f32
2192×/-lowering-/.f64
2148×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037251
174246
2169246
3455246
41341243
54456243
08500243
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))) x) (pow (+ 1 x) -1/2))
(/ (+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))) x)
(+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x)))))
1/2
(- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))
(/ (+ -1/8 (/ 1/16 x)) x)
(+ -1/8 (/ 1/16 x))
-1/8
(/ 1/16 x)
1/16
x
(/ 5/128 (* x (* x x)))
5/128
(* x (* x x))
(* x x)
(pow (+ 1 x) -1/2)
(+ 1 x)
1
-1/2
0
(* (/ 1/2 x) (pow (+ 1 x) -1/2))
(/ 1/2 x)
1/2
x
(pow (+ 1 x) -1/2)
(+ 1 x)
1
-1/2
(/ (/ (/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x))) (/ x -1/2)) x)
(/ (/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x))) (/ x -1/2))
(/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x)))
(- (/ 1 x) x)
(/ 1 x)
1
x
(/ (+ x 1) (sqrt x))
(+ x 1)
(sqrt x)
(/ x -1/2)
-1/2
(/ (+ (/ (sqrt x) -2) (* 1/2 (sqrt (* x (* x x))))) (* x (* x x)))
(+ (/ (sqrt x) -2) (* 1/2 (sqrt (* x (* x x)))))
(/ (sqrt x) -2)
(sqrt x)
x
-2
(* 1/2 (sqrt (* x (* x x))))
1/2
(sqrt (* x (* x x)))
(* x (* x x))
(* x x)
Outputs
(* (/ (+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))) x) (pow (+ 1 x) -1/2))
(*.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 (/.f64 #s(literal 5/128 binary64) x) (*.f64 x x)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x))
(/ (+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 (/.f64 #s(literal 5/128 binary64) x) (*.f64 x x)))) x)
(+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 (/.f64 #s(literal 5/128 binary64) x) (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))
(-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 (/.f64 #s(literal 5/128 binary64) x) (*.f64 x x)))
(/ (+ -1/8 (/ 1/16 x)) x)
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(+ -1/8 (/ 1/16 x))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
-1/8
#s(literal -1/8 binary64)
(/ 1/16 x)
(/.f64 #s(literal 1/16 binary64) x)
1/16
#s(literal 1/16 binary64)
x
(/ 5/128 (* x (* x x)))
(/.f64 (/.f64 #s(literal 5/128 binary64) x) (*.f64 x x))
5/128
#s(literal 5/128 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(pow (+ 1 x) -1/2)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)
0
#s(literal 0 binary64)
(* (/ 1/2 x) (pow (+ 1 x) -1/2))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(pow (+ 1 x) -1/2)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)
(/ (/ (/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x))) (/ x -1/2)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/ (/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x))) (/ x -1/2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))
(/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))
(- (/ 1 x) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ (+ x 1) (sqrt x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(/ x -1/2)
(/.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (+ (/ (sqrt x) -2) (* 1/2 (sqrt (* x (* x x))))) (* x (* x x)))
(/.f64 (+.f64 (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))
(+ (/ (sqrt x) -2) (* 1/2 (sqrt (* x (* x x)))))
(+.f64 (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))))
(/ (sqrt x) -2)
(/.f64 (sqrt.f64 x) #s(literal -2 binary64))
(sqrt x)
(sqrt.f64 x)
x
-2
#s(literal -2 binary64)
(* 1/2 (sqrt (* x (* x x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(sqrt (* x (* x x)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)

localize164.0ms (1.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy67.2%
(sqrt.f64 (*.f64 x (*.f64 x x)))
✓accuracy32.5%
(/.f64 (+.f64 (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))
✓accuracy99.8%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64))) x)
✓accuracy99.6%
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64)))
✓accuracy99.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))
✓accuracy99.2%
(/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓accuracy100.0%
(-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.7%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓accuracy99.2%
(/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x)))
Results
99.0ms256×0valid
Compiler

Compiled 282 to 38 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-div: 24.0ms (44.4% of total)
ival-mult: 9.0ms (16.7% of total)
ival-pow: 7.0ms (13% of total)
ival-add: 6.0ms (11.1% of total)
ival-sqrt: 4.0ms (7.4% of total)
ival-sub: 3.0ms (5.6% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (* (/ (+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))) x) (pow (+ 1 x) -1/2))>
#<alt (/ (+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))) x)>
#<alt (+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x)))))>
#<alt (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))>
#<alt (* (/ 1/2 x) (pow (+ 1 x) -1/2))>
#<alt (/ 1/2 x)>
#<alt (pow (+ 1 x) -1/2)>
#<alt (+ 1 x)>
#<alt (/ (/ (/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x))) (/ x -1/2)) x)>
#<alt (/ (/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x))) (/ x -1/2))>
#<alt (/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x)))>
#<alt (- (/ 1 x) x)>
#<alt (/ (+ (/ (sqrt x) -2) (* 1/2 (sqrt (* x (* x x))))) (* x (* x x)))>
#<alt (+ (/ (sqrt x) -2) (* 1/2 (sqrt (* x (* x x)))))>
#<alt (/ (sqrt x) -2)>
#<alt (sqrt x)>
#<alt (/ 5/128 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ (+ x 1) (sqrt x))>
#<alt (sqrt (* x (* x x)))>
Outputs
#<alt (/ -5/128 (pow x 4))>
#<alt (/ (- (* 21/256 x) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 21/256 (* -175/1024 x))) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 21/256 (* x (- (* 1225/2048 x) 175/1024)))) 5/128) (pow x 4))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)>
#<alt (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (/ -5/128 (pow x 4))>
#<alt (/ (- (* 1/16 x) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 4))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2) x))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ (- (* 1/16 x) 5/128) (pow x 3))>
#<alt (/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))>
#<alt (/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 3))>
#<alt 1/2>
#<alt (- 1/2 (* 1/8 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/8 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))>
#<alt (+ 1/2 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x)))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ (- (* 1/16 x) 5/128) (pow x 3))>
#<alt (/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))>
#<alt (/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))>
#<alt (/ -1/8 x)>
#<alt (/ (- (* 1/16 (/ 1 x)) 1/8) x)>
#<alt (/ (- (* 1/16 (/ 1 x)) (+ 1/8 (/ 5/128 (pow x 2)))) x)>
#<alt (/ (- (* 1/16 (/ 1 x)) (+ 1/8 (/ 5/128 (pow x 2)))) x)>
#<alt (/ -1/8 x)>
#<alt (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1/4 x)) x)>
#<alt (/ (+ 1/2 (* x (- (* 3/16 x) 1/4))) x)>
#<alt (/ (+ 1/2 (* x (- (* x (+ 3/16 (* -5/32 x))) 1/4))) x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)>
#<alt (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt (/ 1 (pow x 3))))) x))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) x))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)>
#<alt (* -1 (sqrt x))>
#<alt (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))>
#<alt (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))>
#<alt (* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1 (pow x 2))) x)>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 (pow x 2)) 1))>
#<alt (* x (- (/ 1 (pow x 2)) 1))>
#<alt (* x (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (sqrt (/ 1 (pow x 5))))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1/2 (sqrt x))>
#<alt (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3))))>
#<alt (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3))))>
#<alt (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3))))>
#<alt (* 1/2 (sqrt (pow x 3)))>
#<alt (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))>
#<alt (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))>
#<alt (* -1/2 (sqrt x))>
#<alt (* -1/2 (sqrt x))>
#<alt (* -1/2 (sqrt x))>
#<alt (* -1/2 (sqrt x))>
#<alt (* -1/2 (sqrt x))>
#<alt (* -1/2 (sqrt x))>
#<alt (* -1/2 (sqrt x))>
#<alt (* -1/2 (sqrt x))>
#<alt (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 5/128 (pow x 3))>
#<alt (/ 5/128 (pow x 3))>
#<alt (/ 5/128 (pow x 3))>
#<alt (/ 5/128 (pow x 3))>
#<alt (/ 5/128 (pow x 3))>
#<alt (/ 5/128 (pow x 3))>
#<alt (/ 5/128 (pow x 3))>
#<alt (/ 5/128 (pow x 3))>
#<alt (/ 5/128 (pow x 3))>
#<alt (/ 5/128 (pow x 3))>
#<alt (/ 5/128 (pow x 3))>
#<alt (/ 5/128 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (sqrt (/ 1 x))>
#<alt (/ (+ (sqrt x) (sqrt (pow x 3))) x)>
#<alt (/ (+ (sqrt x) (sqrt (pow x 3))) x)>
#<alt (/ (+ (sqrt x) (sqrt (pow x 3))) x)>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))>
#<alt (sqrt x)>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))) x)
1.0ms
x
@inf
(* (/ 1/2 x) (pow (+ 1 x) -1/2))
1.0ms
x
@-inf
(* (/ (+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))) x) (pow (+ 1 x) -1/2))
1.0ms
x
@-inf
(/ (/ (/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x))) (/ x -1/2)) x)
1.0ms
x
@-inf
(/ (+ (/ (sqrt x) -2) (* 1/2 (sqrt (* x (* x x))))) (* x (* x x)))

rewrite393.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
4330×/-lowering-/.f32
4330×/-lowering-/.f64
2416×*-lowering-*.f32
2416×*-lowering-*.f64
1568×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036185
1253177
22568174
08596174
Stop Event
1×iter limit
1×node limit
Counts
20 → 798
Calls
Call 1
Inputs
(* (/ (+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))) x) (pow (+ 1 x) -1/2))
(/ (+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))) x)
(+ 1/2 (- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x)))))
(- (/ (+ -1/8 (/ 1/16 x)) x) (/ 5/128 (* x (* x x))))
(* (/ 1/2 x) (pow (+ 1 x) -1/2))
(/ 1/2 x)
(pow (+ 1 x) -1/2)
(+ 1 x)
(/ (/ (/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x))) (/ x -1/2)) x)
(/ (/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x))) (/ x -1/2))
(/ (- (/ 1 x) x) (/ (+ x 1) (sqrt x)))
(- (/ 1 x) x)
(/ (+ (/ (sqrt x) -2) (* 1/2 (sqrt (* x (* x x))))) (* x (* x x)))
(+ (/ (sqrt x) -2) (* 1/2 (sqrt (* x (* x x)))))
(/ (sqrt x) -2)
(sqrt x)
(/ 5/128 (* x (* x x)))
(* x (* x x))
(/ (+ x 1) (sqrt x))
(sqrt (* x (* x x)))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) x)
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x))))
(/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)))))
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(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(pow.f64 x #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))
(*.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))))

simplify258.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
4706×*-lowering-*.f32
4706×*-lowering-*.f64
2882×+-lowering-+.f64
2882×+-lowering-+.f32
1200×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03152242
19341962
230391905
083481905
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ -5/128 (pow x 4))
(/ (- (* 21/256 x) 5/128) (pow x 4))
(/ (- (* x (+ 21/256 (* -175/1024 x))) 5/128) (pow x 4))
(/ (- (* x (+ 21/256 (* x (- (* 1225/2048 x) 175/1024)))) 5/128) (pow x 4))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/ -5/128 (pow x 4))
(/ (- (* 1/16 x) 5/128) (pow x 4))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 4))
(/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 4))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2) x))
(/ -5/128 (pow x 3))
(/ (- (* 1/16 x) 5/128) (pow x 3))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))
(/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 3))
1/2
(- 1/2 (* 1/8 (/ 1 x)))
(- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))
(- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3)))))
1/2
(- 1/2 (* 1/8 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))
(+ 1/2 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x)))
(/ -5/128 (pow x 3))
(/ (- (* 1/16 x) 5/128) (pow x 3))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))
(/ -1/8 x)
(/ (- (* 1/16 (/ 1 x)) 1/8) x)
(/ (- (* 1/16 (/ 1 x)) (+ 1/8 (/ 5/128 (pow x 2)))) x)
(/ (- (* 1/16 (/ 1 x)) (+ 1/8 (/ 5/128 (pow x 2)))) x)
(/ -1/8 x)
(* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))
(/ 1/2 x)
(/ (+ 1/2 (* -1/4 x)) x)
(/ (+ 1/2 (* x (- (* 3/16 x) 1/4))) x)
(/ (+ 1/2 (* x (- (* x (+ 3/16 (* -5/32 x))) 1/4))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt (/ 1 (pow x 3))))) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) x))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* 1/2 (sqrt (/ 1 x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(* -1 (sqrt x))
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))
(* x (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x)))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(/ 1 x)
(/ (+ 1 (* -1 (pow x 2))) x)
(/ (+ 1 (* -1 (pow x 2))) x)
(/ (+ 1 (* -1 (pow x 2))) x)
(* -1 x)
(* x (- (/ 1 (pow x 2)) 1))
(* x (- (/ 1 (pow x 2)) 1))
(* x (- (/ 1 (pow x 2)) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 (pow x 2)))))
(* -1 (* x (- 1 (/ 1 (pow x 2)))))
(* -1 (* x (- 1 (/ 1 (pow x 2)))))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1/2 (sqrt x))
(+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3))))
(+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3))))
(+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3))))
(* 1/2 (sqrt (pow x 3)))
(* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1/2 (sqrt x))
(* -1/2 (sqrt x))
(* -1/2 (sqrt x))
(* -1/2 (sqrt x))
(* -1/2 (sqrt x))
(* -1/2 (sqrt x))
(* -1/2 (sqrt x))
(* -1/2 (sqrt x))
(* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 5/128 (pow x 3))
(/ 5/128 (pow x 3))
(/ 5/128 (pow x 3))
(/ 5/128 (pow x 3))
(/ 5/128 (pow x 3))
(/ 5/128 (pow x 3))
(/ 5/128 (pow x 3))
(/ 5/128 (pow x 3))
(/ 5/128 (pow x 3))
(/ 5/128 (pow x 3))
(/ 5/128 (pow x 3))
(/ 5/128 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(sqrt (/ 1 x))
(/ (+ (sqrt x) (sqrt (pow x 3))) x)
(/ (+ (sqrt x) (sqrt (pow x 3))) x)
(/ (+ (sqrt x) (sqrt (pow x 3))) x)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(sqrt x)
(* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))
(* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))
(* -1 (* x (+ (* -1 (sqrt (/ 1 x))) (* -1 (sqrt (/ 1 (pow x 3)))))))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
Outputs
(/ -5/128 (pow x 4))
(/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* 21/256 x) 5/128) (pow x 4))
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(-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))

eval157.0ms (1.4%)

Compiler

Compiled 32792 to 3501 computations (89.3% saved)

prune164.0ms (1.5%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New1173151188
Fresh11920
Picked415
Done101
Total1189251214
Accuracy
100.0%
Counts
1214 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x))))
99.1%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
82.0%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
98.8%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
98.7%
(/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
▶98.9%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
98.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))))
72.3%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))))
99.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
28.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))
▶7.8%
(/.f64 #s(literal 1/2 binary64) x)
38.5%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
24.3%
(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶99.5%
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶39.3%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
39.4%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.5%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.5%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
99.4%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
7.8%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
98.7%
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
81.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
98.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
65.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
✓37.3%
#s(literal 0 binary64)
Compiler

Compiled 832 to 540 computations (35.1% saved)

simplify239.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x)
✓cost-diff0
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) x)
✓cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
✓cost-diff256
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64))))
✓cost-diff384
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
✓cost-diff128
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64)))
✓cost-diff128
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x))))
Rules
5624×+-lowering-+.f64
5624×+-lowering-+.f32
3242×*-lowering-*.f32
3242×*-lowering-*.f64
1562×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039459
198427
2247422
3638422
42372420
08079420
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (pow (+ x 1) -1/2) (/ x (+ 1/2 (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x))))
(pow (+ x 1) -1/2)
(+ x 1)
x
1
-1/2
(/ x (+ 1/2 (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)))
(+ 1/2 (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x))
1/2
(/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)
(- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x)))
(+ -1/8 (/ 1/16 x))
-1/8
(/ 1/16 x)
1/16
(/ 5/128 (* x x))
5/128
(* x x)
(/ 1/2 x)
1/2
x
(/ (/ (- 0 (sqrt x)) (/ x -1/2)) x)
(/ (- 0 (sqrt x)) (/ x -1/2))
(- 0 (sqrt x))
0
(sqrt x)
x
(/ x -1/2)
-1/2
(* (/ (- (+ 1 x) x) (+ x (+ x 1/2))) (pow (+ 1 x) -1/2))
(/ (- (+ 1 x) x) (+ x (+ x 1/2)))
(- (+ 1 x) x)
(+ 1 x)
1
x
(+ x (+ x 1/2))
(+ x 1/2)
1/2
(pow (+ 1 x) -1/2)
-1/2
(* (/ (/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2)) x) (pow (+ 1 x) -1/2))
(/ (/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2)) x)
(/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2))
(- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4)
(* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x))
(/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)
(- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x)))
(+ -1/8 (/ 1/16 x))
-1/8
(/ 1/16 x)
1/16
x
(/ 5/128 (* x x))
5/128
(* x x)
1/4
(- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2)
1/2
(pow (+ 1 x) -1/2)
(+ 1 x)
1
-1/2
Outputs
(/ (pow (+ x 1) -1/2) (/ x (+ 1/2 (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) x))))
(pow (+ x 1) -1/2)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)
(/ x (+ 1/2 (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)))
(/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) x)))
(+ 1/2 (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) x))
1/2
#s(literal 1/2 binary64)
(/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)
(/.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) x)
(- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x)))
(+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x))))
(+ -1/8 (/ 1/16 x))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
-1/8
#s(literal -1/8 binary64)
(/ 1/16 x)
(/.f64 #s(literal 1/16 binary64) x)
1/16
#s(literal 1/16 binary64)
(/ 5/128 (* x x))
(/.f64 #s(literal 5/128 binary64) (*.f64 x x))
5/128
#s(literal 5/128 binary64)
(* x x)
(*.f64 x x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(/ (/ (- 0 (sqrt x)) (/ x -1/2)) x)
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(/ (- 0 (sqrt x)) (/ x -1/2))
(/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64)))
(- 0 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
0
#s(literal 0 binary64)
(sqrt x)
(sqrt.f64 x)
x
(/ x -1/2)
(/.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (/ (- (+ 1 x) x) (+ x (+ x 1/2))) (pow (+ 1 x) -1/2))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(/ (- (+ 1 x) x) (+ x (+ x 1/2)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(- (+ 1 x) x)
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
x
(+ x (+ x 1/2))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64)))
(+ x 1/2)
(+.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(pow (+ 1 x) -1/2)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (/ (/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2)) x) (pow (+ 1 x) -1/2))
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x))))) (*.f64 x x)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(/ (/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2)) x)
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x))))) (*.f64 x x)) #s(literal -1/4 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2))
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x))))) (*.f64 x x)) #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) x)))
(- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4)
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x))))) (*.f64 x x)) #s(literal -1/4 binary64))
(* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x))
(/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x))))) (*.f64 x x))
(/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)
(/.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) x)
(- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x)))
(+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x))))
(+ -1/8 (/ 1/16 x))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))
-1/8
#s(literal -1/8 binary64)
(/ 1/16 x)
(/.f64 #s(literal 1/16 binary64) x)
1/16
#s(literal 1/16 binary64)
x
(/ 5/128 (* x x))
(/.f64 #s(literal 5/128 binary64) (*.f64 x x))
5/128
#s(literal 5/128 binary64)
(* x x)
(*.f64 x x)
1/4
#s(literal 1/4 binary64)
(- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -5/128 binary64) (*.f64 x x)))) x))
1/2
#s(literal 1/2 binary64)
(pow (+ 1 x) -1/2)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)

localize354.0ms (3.3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))
✓accuracy99.7%
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓accuracy99.6%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x))
✓accuracy99.1%
(/.f64 #s(literal 5/128 binary64) (*.f64 x x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
✓accuracy99.7%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓accuracy5.5%
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
✓accuracy99.6%
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
✓accuracy100.0%
(/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)
✓accuracy99.8%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x))))
✓accuracy99.1%
(/.f64 #s(literal 5/128 binary64) (*.f64 x x))
Results
254.0ms240×1valid
9.0ms16×0valid
Compiler

Compiled 472 to 40 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-div: 49.0ms (29.4% of total)
ival-pow: 39.0ms (23.4% of total)
ival-add: 22.0ms (13.2% of total)
backward-pass: 21.0ms (12.6% of total)
ival-mult: 15.0ms (9% of total)
ival-sub: 13.0ms (7.8% of total)
ival-sqrt: 4.0ms (2.4% of total)
const: 2.0ms (1.2% of total)

series14.0ms (0.1%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (/ (pow (+ x 1) -1/2) (/ x (+ 1/2 (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x))))>
#<alt (pow (+ x 1) -1/2)>
#<alt (+ x 1)>
#<alt (/ x (+ 1/2 (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)))>
#<alt (/ 1/2 x)>
#<alt (/ (/ (- 0 (sqrt x)) (/ x -1/2)) x)>
#<alt (/ (- 0 (sqrt x)) (/ x -1/2))>
#<alt (- 0 (sqrt x))>
#<alt (sqrt x)>
#<alt (* (/ (- (+ 1 x) x) (+ x (+ x 1/2))) (pow (+ 1 x) -1/2))>
#<alt (/ (- (+ 1 x) x) (+ x (+ x 1/2)))>
#<alt (- (+ 1 x) x)>
#<alt (+ 1 x)>
#<alt (* (/ (/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2)) x) (pow (+ 1 x) -1/2))>
#<alt (/ (/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2)) x)>
#<alt (/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2))>
#<alt (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4)>
#<alt (/ 5/128 (* x x))>
#<alt (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)>
#<alt (pow (+ 1 x) -1/2)>
#<alt (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x))>
Outputs
#<alt (/ -5/128 (pow x 4))>
#<alt (/ (- (* 21/256 x) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 21/256 (* -175/1024 x))) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 21/256 (* x (- (* 1225/2048 x) 175/1024)))) 5/128) (pow x 4))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)>
#<alt (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -128/5 (pow x 4))>
#<alt (* (pow x 4) (- (* -1024/25 x) 128/5))>
#<alt (* (pow x 4) (- (* x (- (* 2048/125 x) 1024/25)) 128/5))>
#<alt (* (pow x 4) (- (* x (- (* x (+ 2048/125 (* -106496/625 x))) 1024/25)) 128/5))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))) x)) 2)))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* 1/2 (sqrt (/ 1 x)))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* -1 (sqrt x))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (* (sqrt x) (pow (sqrt -1) 2))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt 2>
#<alt (+ 2 (* -9 x))>
#<alt (+ 2 (* x (- (* 147/4 x) 9)))>
#<alt (+ 2 (* x (- (* x (+ 147/4 (* -1181/8 x))) 9)))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/32 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -1/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/32 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) x)>
#<alt (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt x))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt x)))) x)) (+ (* -1/32 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt x)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt 2>
#<alt (+ 2 (* -8 x))>
#<alt (+ 2 (* x (- (* 32 x) 8)))>
#<alt (+ 2 (* x (- (* x (+ 32 (* -128 x))) 8)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/32 (pow x 2))) (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/32 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 1/128 (/ 1 (pow x 3))))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 x)) 1/8) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/128 (/ 1 x)) 1/32) x)) 1/8) x)) 1/2) x))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ -5/128 (pow x 4))>
#<alt (/ (- (* 21/256 x) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 21/256 (* -175/1024 x))) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 21/256 (* x (- (* 1225/2048 x) 175/1024)))) 5/128) (pow x 4))>
#<alt (* 1/2 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)>
#<alt (/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)>
#<alt (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))>
#<alt (/ -5/128 (pow x 4))>
#<alt (/ (- (* 1/16 x) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 4))>
#<alt (/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 4))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2) x))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ (- (* 1/16 x) 5/128) (pow x 3))>
#<alt (/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))>
#<alt (/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 3))>
#<alt 1/2>
#<alt (- 1/2 (* 1/8 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/8 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))>
#<alt (+ 1/2 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x)))>
#<alt (/ 25/16384 (pow x 6))>
#<alt (/ (+ 25/16384 (* -5/1024 x)) (pow x 6))>
#<alt (/ (+ 25/16384 (* x (- (* 7/512 x) 5/1024))) (pow x 6))>
#<alt (/ (+ 25/16384 (* x (- (* x (+ 7/512 (* -1/64 x))) 5/1024))) (pow x 6))>
#<alt -1/4>
#<alt (- (* 1/64 (/ 1 (pow x 2))) 1/4)>
#<alt (- (* 1/64 (/ 1 (pow x 2))) (+ 1/4 (/ 1/64 (pow x 3))))>
#<alt (- (+ (* 1/64 (/ 1 (pow x 2))) (* 7/512 (/ 1 (pow x 4)))) (+ 1/4 (/ 1/64 (pow x 3))))>
#<alt -1/4>
#<alt (- (* 1/64 (/ 1 (pow x 2))) 1/4)>
#<alt (- (* 1/64 (/ 1 (pow x 2))) (+ 1/4 (/ 1/64 (pow x 3))))>
#<alt (- (+ (* -1 (/ (- 1/64 (* 7/512 (/ 1 x))) (pow x 3))) (* 1/64 (/ 1 (pow x 2)))) 1/4)>
#<alt (/ 5/128 (pow x 2))>
#<alt (/ 5/128 (pow x 2))>
#<alt (/ 5/128 (pow x 2))>
#<alt (/ 5/128 (pow x 2))>
#<alt (/ 5/128 (pow x 2))>
#<alt (/ 5/128 (pow x 2))>
#<alt (/ 5/128 (pow x 2))>
#<alt (/ 5/128 (pow x 2))>
#<alt (/ 5/128 (pow x 2))>
#<alt (/ 5/128 (pow x 2))>
#<alt (/ 5/128 (pow x 2))>
#<alt (/ 5/128 (pow x 2))>
#<alt (/ -5/128 (pow x 3))>
#<alt (/ (- (* 1/16 x) 5/128) (pow x 3))>
#<alt (/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))>
#<alt (/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))>
#<alt (/ -1/8 x)>
#<alt (/ (- (* 1/16 (/ 1 x)) 1/8) x)>
#<alt (/ (- (* 1/16 (/ 1 x)) (+ 1/8 (/ 5/128 (pow x 2)))) x)>
#<alt (/ (- (* 1/16 (/ 1 x)) (+ 1/8 (/ 5/128 (pow x 2)))) x)>
#<alt (/ -1/8 x)>
#<alt (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (/ 25/16384 (pow x 6))>
#<alt (/ (+ 25/16384 (* -5/1024 x)) (pow x 6))>
#<alt (/ (+ 25/16384 (* x (- (* 7/512 x) 5/1024))) (pow x 6))>
#<alt (/ (+ 25/16384 (* x (- (* x (+ 7/512 (* -1/64 x))) 5/1024))) (pow x 6))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ (- 1/64 (* 1/64 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 1/64 (/ 7/512 (pow x 2))) (* 1/64 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 1/64 (/ 7/512 (pow x 2))) (+ (* 1/64 (/ 1 x)) (* 5/1024 (/ 1 (pow x 3))))) (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ (- 1/64 (* 1/64 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1/64 (* -1 (/ (- 1/64 (* 7/512 (/ 1 x))) x))) (pow x 2))>
#<alt (/ (+ 1/64 (* -1 (/ (+ 1/64 (* -1 (/ (- 7/512 (* 5/1024 (/ 1 x))) x))) x))) (pow x 2))>
Calls

63 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* (/ (- (+ 1 x) x) (+ x (+ x 1/2))) (pow (+ 1 x) -1/2))
0.0ms
x
@inf
(* (/ (- (+ 1 x) x) (+ x (+ x 1/2))) (pow (+ 1 x) -1/2))
0.0ms
x
@-inf
(/ (/ (- 0 (sqrt x)) (/ x -1/2)) x)
0.0ms
x
@0
(* (/ (/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2)) x) (pow (+ 1 x) -1/2))
0.0ms
x
@inf
(* (/ (/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2)) x) (pow (+ 1 x) -1/2))

rewrite406.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4184×/-lowering-/.f32
4184×/-lowering-/.f64
2734×*-lowering-*.f32
2734×*-lowering-*.f64
2060×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039254
1310183
23204179
09520179
Stop Event
1×iter limit
1×node limit
Counts
21 → 808
Calls
Call 1
Inputs
(/ (pow (+ x 1) -1/2) (/ x (+ 1/2 (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x))))
(pow (+ x 1) -1/2)
(+ x 1)
(/ x (+ 1/2 (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)))
(/ 1/2 x)
(/ (/ (- 0 (sqrt x)) (/ x -1/2)) x)
(/ (- 0 (sqrt x)) (/ x -1/2))
(- 0 (sqrt x))
(sqrt x)
(* (/ (- (+ 1 x) x) (+ x (+ x 1/2))) (pow (+ 1 x) -1/2))
(/ (- (+ 1 x) x) (+ x (+ x 1/2)))
(- (+ 1 x) x)
(+ 1 x)
(* (/ (/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2)) x) (pow (+ 1 x) -1/2))
(/ (/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2)) x)
(/ (- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4) (- (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) 1/2))
(- (* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)) 1/4)
(/ 5/128 (* x x))
(/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x)
(pow (+ 1 x) -1/2)
(* (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x) (/ (- (+ -1/8 (/ 1/16 x)) (/ 5/128 (* x x))) x))
Outputs
(+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)))
(+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)) (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)))
(fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)))
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)))
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)))))
(/.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))) (*.f64 x (*.f64 x x))))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))))))
(/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) x)
(/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))) #s(literal -1/4 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))))
(/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x))))))
(/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))) #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))))
(/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))) #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))) #s(literal 1 binary64))
(pow.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x))) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x))) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))))
(*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)))
(*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (*.f64 x x)))
(*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) x))
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))
(*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x))))
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x))) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x))) x))
(*.f64 (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))) (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x))))

simplify261.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
4734×+-lowering-+.f64
4734×+-lowering-+.f32
2738×*-lowering-*.f32
2738×*-lowering-*.f64
1362×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04292385
112792026
237131976
086801976
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(/ -5/128 (pow x 4))
(/ (- (* 21/256 x) 5/128) (pow x 4))
(/ (- (* x (+ 21/256 (* -175/1024 x))) 5/128) (pow x 4))
(/ (- (* x (+ 21/256 (* x (- (* 1225/2048 x) 175/1024)))) 5/128) (pow x 4))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -128/5 (pow x 4))
(* (pow x 4) (- (* -1024/25 x) 128/5))
(* (pow x 4) (- (* x (- (* 2048/125 x) 1024/25)) 128/5))
(* (pow x 4) (- (* x (- (* x (+ 2048/125 (* -106496/625 x))) 1024/25)) 128/5))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 x))))
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))) x)) 2)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* -1 (sqrt x))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(* (sqrt x) (pow (sqrt -1) 2))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
2
(+ 2 (* -9 x))
(+ 2 (* x (- (* 147/4 x) 9)))
(+ 2 (* x (- (* x (+ 147/4 (* -1181/8 x))) 9)))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/32 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -1/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/32 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt x))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt x)))) x)) (+ (* -1/32 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/4 (sqrt x)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
2
(+ 2 (* -8 x))
(+ 2 (* x (- (* 32 x) 8)))
(+ 2 (* x (- (* x (+ 32 (* -128 x))) 8)))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/32 (pow x 2))) (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/32 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 1/128 (/ 1 (pow x 3))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 x)) 1/8) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/128 (/ 1 x)) 1/32) x)) 1/8) x)) 1/2) x))
1
1
1
1
1
1
1
1
1
1
1
1
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -5/128 (pow x 4))
(/ (- (* 21/256 x) 5/128) (pow x 4))
(/ (- (* x (+ 21/256 (* -175/1024 x))) 5/128) (pow x 4))
(/ (- (* x (+ 21/256 (* x (- (* 1225/2048 x) 175/1024)))) 5/128) (pow x 4))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/ -5/128 (pow x 4))
(/ (- (* 1/16 x) 5/128) (pow x 4))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 4))
(/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 4))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2) x))
(/ -5/128 (pow x 3))
(/ (- (* 1/16 x) 5/128) (pow x 3))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))
(/ (- (* x (+ 1/16 (* x (- (* 1/2 x) 1/8)))) 5/128) (pow x 3))
1/2
(- 1/2 (* 1/8 (/ 1 x)))
(- (+ 1/2 (/ 1/16 (pow x 2))) (* 1/8 (/ 1 x)))
(- (+ 1/2 (/ 1/16 (pow x 2))) (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3)))))
1/2
(- 1/2 (* 1/8 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x)))
(+ 1/2 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x)))
(/ 25/16384 (pow x 6))
(/ (+ 25/16384 (* -5/1024 x)) (pow x 6))
(/ (+ 25/16384 (* x (- (* 7/512 x) 5/1024))) (pow x 6))
(/ (+ 25/16384 (* x (- (* x (+ 7/512 (* -1/64 x))) 5/1024))) (pow x 6))
-1/4
(- (* 1/64 (/ 1 (pow x 2))) 1/4)
(- (* 1/64 (/ 1 (pow x 2))) (+ 1/4 (/ 1/64 (pow x 3))))
(- (+ (* 1/64 (/ 1 (pow x 2))) (* 7/512 (/ 1 (pow x 4)))) (+ 1/4 (/ 1/64 (pow x 3))))
-1/4
(- (* 1/64 (/ 1 (pow x 2))) 1/4)
(- (* 1/64 (/ 1 (pow x 2))) (+ 1/4 (/ 1/64 (pow x 3))))
(- (+ (* -1 (/ (- 1/64 (* 7/512 (/ 1 x))) (pow x 3))) (* 1/64 (/ 1 (pow x 2)))) 1/4)
(/ 5/128 (pow x 2))
(/ 5/128 (pow x 2))
(/ 5/128 (pow x 2))
(/ 5/128 (pow x 2))
(/ 5/128 (pow x 2))
(/ 5/128 (pow x 2))
(/ 5/128 (pow x 2))
(/ 5/128 (pow x 2))
(/ 5/128 (pow x 2))
(/ 5/128 (pow x 2))
(/ 5/128 (pow x 2))
(/ 5/128 (pow x 2))
(/ -5/128 (pow x 3))
(/ (- (* 1/16 x) 5/128) (pow x 3))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))
(/ (- (* x (+ 1/16 (* -1/8 x))) 5/128) (pow x 3))
(/ -1/8 x)
(/ (- (* 1/16 (/ 1 x)) 1/8) x)
(/ (- (* 1/16 (/ 1 x)) (+ 1/8 (/ 5/128 (pow x 2)))) x)
(/ (- (* 1/16 (/ 1 x)) (+ 1/8 (/ 5/128 (pow x 2)))) x)
(/ -1/8 x)
(* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(/ 25/16384 (pow x 6))
(/ (+ 25/16384 (* -5/1024 x)) (pow x 6))
(/ (+ 25/16384 (* x (- (* 7/512 x) 5/1024))) (pow x 6))
(/ (+ 25/16384 (* x (- (* x (+ 7/512 (* -1/64 x))) 5/1024))) (pow x 6))
(/ 1/64 (pow x 2))
(/ (- 1/64 (* 1/64 (/ 1 x))) (pow x 2))
(/ (- (+ 1/64 (/ 7/512 (pow x 2))) (* 1/64 (/ 1 x))) (pow x 2))
(/ (- (+ 1/64 (/ 7/512 (pow x 2))) (+ (* 1/64 (/ 1 x)) (* 5/1024 (/ 1 (pow x 3))))) (pow x 2))
(/ 1/64 (pow x 2))
(/ (- 1/64 (* 1/64 (/ 1 x))) (pow x 2))
(/ (+ 1/64 (* -1 (/ (- 1/64 (* 7/512 (/ 1 x))) x))) (pow x 2))
(/ (+ 1/64 (* -1 (/ (+ 1/64 (* -1 (/ (- 7/512 (* 5/1024 (/ 1 x))) x))) x))) (pow x 2))
Outputs
(/ -5/128 (pow x 4))
(/.f64 #s(literal -5/128 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(/ (- (* 21/256 x) 5/128) (pow x 4))
(/.f64 (+.f64 #s(literal -5/128 binary64) (*.f64 x #s(literal 21/256 binary64))) (*.f64 (*.f64 x (*.f64 x x)) x))
(/ (- (* x (+ 21/256 (* -175/1024 x))) 5/128) (pow x 4))
(/.f64 (+.f64 #s(literal -5/128 binary64) (*.f64 x (+.f64 #s(literal 21/256 binary64) (*.f64 x #s(literal -175/1024 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) x))
(/ (- (* x (+ 21/256 (* x (- (* 1225/2048 x) 175/1024)))) 5/128) (pow x 4))
(/.f64 (+.f64 #s(literal -5/128 binary64) (*.f64 x (+.f64 #s(literal 21/256 binary64) (*.f64 x (+.f64 #s(literal -175/1024 binary64) (*.f64 x #s(literal 1225/2048 binary64))))))) (*.f64 (*.f64 x (*.f64 x x)) x))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -3/8 binary64)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))) x)
(/.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3/8 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -3/8 binary64))) x)
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/16 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (sqrt x)) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -5/16 binary64)) (+.f64 (*.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64))))) x)) x)) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 3/8 binary64)))))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal -5/16 binary64)))))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* -128/5 (pow x 4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -128/5 binary64))
(* (pow x 4) (- (* -1024/25 x) 128/5))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal -128/5 binary64) (*.f64 x #s(literal -1024/25 binary64))))
(* (pow x 4) (- (* x (- (* 2048/125 x) 1024/25)) 128/5))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal -128/5 binary64) (*.f64 x (+.f64 #s(literal -1024/25 binary64) (*.f64 x #s(literal 2048/125 binary64))))))
(* (pow x 4) (- (* x (- (* x (+ 2048/125 (* -106496/625 x))) 1024/25)) 128/5))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal -128/5 binary64) (*.f64 x (+.f64 #s(literal -1024/25 binary64) (*.f64 x (+.f64 #s(literal 2048/125 binary64) (*.f64 x #s(literal -106496/625 binary64))))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))
(*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) x)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/8 (* 1/16 (/ 1 x))) x))) x)) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* (sqrt x) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* (sqrt x) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* (sqrt x) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(* (sqrt x) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
2
#s(literal 2 binary64)
(+ 2 (* -9 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 2 (* x (- (* 147/4 x) 9)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x #s(literal 147/4 binary64)))))
(+ 2 (* x (- (* x (+ 147/4 (* -1181/8 x))) 9)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x (+.f64 #s(literal 147/4 binary64) (*.f64 x #s(literal -1181/8 binary64)))))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/ (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/32 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) x)
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(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -5/128 binary64) x)) x)) x)
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 5/128 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -5/128 binary64) x)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 3/8 binary64)))))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal -5/16 binary64)))))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x x)))))
(/ 25/16384 (pow x 6))
(/.f64 #s(literal 25/16384 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 25/16384 (* -5/1024 x)) (pow x 6))
(/.f64 (+.f64 #s(literal 25/16384 binary64) (*.f64 x #s(literal -5/1024 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 25/16384 (* x (- (* 7/512 x) 5/1024))) (pow x 6))
(/.f64 (+.f64 #s(literal 25/16384 binary64) (*.f64 x (+.f64 #s(literal -5/1024 binary64) (*.f64 x #s(literal 7/512 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 25/16384 (* x (- (* x (+ 7/512 (* -1/64 x))) 5/1024))) (pow x 6))
(/.f64 (+.f64 #s(literal 25/16384 binary64) (*.f64 x (+.f64 #s(literal -5/1024 binary64) (*.f64 x (+.f64 #s(literal 7/512 binary64) (*.f64 x #s(literal -1/64 binary64))))))) (pow.f64 x #s(literal 6 binary64)))
(/ 1/64 (pow x 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 x x))
(/ (- 1/64 (* 1/64 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) x)) (*.f64 x x))
(/ (- (+ 1/64 (/ 7/512 (pow x 2))) (* 1/64 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 7/512 binary64) x) #s(literal -1/64 binary64)))) (*.f64 x x))
(/ (- (+ 1/64 (/ 7/512 (pow x 2))) (+ (* 1/64 (/ 1 x)) (* 5/1024 (/ 1 (pow x 3))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 7/512 binary64) x) #s(literal -1/64 binary64))) (/.f64 #s(literal -5/1024 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ 1/64 (pow x 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 x x))
(/ (- 1/64 (* 1/64 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) x)) (*.f64 x x))
(/ (+ 1/64 (* -1 (/ (- 1/64 (* 7/512 (/ 1 x))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -7/512 binary64) x)) x)) (*.f64 x x))
(/ (+ 1/64 (* -1 (/ (+ 1/64 (* -1 (/ (- 7/512 (* 5/1024 (/ 1 x))) x))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (+.f64 #s(literal 7/512 binary64) (/.f64 #s(literal -5/1024 binary64) x)) x)) x)) (*.f64 x x))

eval280.0ms (2.6%)

Compiler

Compiled 61735 to 4468 computations (92.8% saved)

prune362.0ms (3.3%)

Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New1473201493
Fresh13619
Picked415
Done011
Total1490281518
Accuracy
100.0%
Counts
1518 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
82.0%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
99.5%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
99.4%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
99.6%
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x))))
31.2%
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)))
99.0%
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
98.7%
(/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
98.9%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) x)
98.9%
(/.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64))) x)
98.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))))
72.3%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))))
98.8%
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
81.1%
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 x #s(literal 1/2 binary64)) x))
97.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
97.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
97.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))) x))
✓7.8%
(/.f64 #s(literal 1/2 binary64) x)
38.5%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
24.3%
(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.9%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
99.5%
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) x)) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
7.8%
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
37.6%
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
98.9%
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
82.2%
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))
4.4%
#s(literal 2 binary64)
✓37.3%
#s(literal 0 binary64)
Compiler

Compiled 1410 to 493 computations (65% saved)

regimes49.0ms (0.4%)

Counts
72 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 x #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) x)) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) x)
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))) x)
(/.f64 (+.f64 (/.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))) x)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) x)
(pow.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) x)
Outputs
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x))))
Calls

2 calls:

18.0ms
x
14.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes14.0ms (0.1%)

Counts
45 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 x #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) x)) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
Outputs
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

Counts
38 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 x #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
Outputs
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
36 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 x #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
Outputs
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 x #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))))
Outputs
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 x #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 x #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (/.f64 (sqrt.f64 x) (/.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) x)
Outputs
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 (/.f64 x (*.f64 x x)))
Outputs
(sqrt.f64 (/.f64 x (*.f64 x x)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
38.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) x)
Outputs
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
37.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
Outputs
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 0 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
39.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -21.6b remaining (-53.8%)

Threshold costs -21.6b (-53.8%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
Outputs
#s(literal 0 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
37.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch29.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
26.0ms
5.130877434414494e+149
1.6773428973357558e+155
Results
21.0ms144×1valid
Compiler

Compiled 88 to 74 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sqrt: 5.0ms (36% of total)
ival-div: 4.0ms (28.8% of total)
ival-add: 2.0ms (14.4% of total)
backward-pass: 2.0ms (14.4% of total)
ival-sub: 1.0ms (7.2% of total)
const: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
22×+-commutative_binary64
16×*-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047124
170124
274124
376124
477124
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6400000000000000296006920697868766336078481433284652063480878540881443440241897659096538872461019208447338396831340197818841452129052274984624128583008256 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 x (+.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 6400000000000000296006920697868766336078481433284652063480878540881443440241897659096538872461019208447338396831340197818841452129052274984624128583008256 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness2.5s (23%)

Rules
4734×+-lowering-+.f64
4734×+-lowering-+.f32
4706×*-lowering-*.f32
4706×*-lowering-*.f64
4330×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03152242
19341962
230391905
083481905
025115
118994
2182085
0862385
04292385
112792026
237131976
086801976
036185
1253177
22568174
08596174
04222461
113871797
256351773
082601773
0819
16419
259819
3726119
0822419
039254
1310183
23204179
09520179
0155642
1479552
21688526
36814526
08132526
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 322 to 191 computations (40.7% saved)

preprocess66.0ms (0.6%)

Compiler

Compiled 306 to 122 computations (60.1% saved)

end0.0ms (0%)

Profiling

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