Data.Colour.CIE:cieLABView from colour-2.3.3, A

Time bar (total: 9.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 11 computations (0% saved)

sample5.2s (53.2%)

Memory
-313.4MiB live, 1 444.8MiB allocated
Samples
4.7s8 253×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 329.0ms
ival-div: 168.0ms (51.1% of total)
ival-add: 78.0ms (23.7% of total)
ival-mult: 59.0ms (17.9% of total)
exact: 14.0ms (4.3% of total)
ival-true: 6.0ms (1.8% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain112.0ms (1.1%)

Memory
-26.8MiB live, 186.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 108 binary64)
00-0-(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
00-0-#s(literal 841 binary64)
00-0-(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
00-0-#s(literal 4 binary64)
00-0-(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
00-0-(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
00-0-#s(literal 29 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
41.0ms512×0valid
Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 17.0ms (60.1% of total)
ival-div: 7.0ms (24.7% of total)
ival-add: 2.0ms (7.1% of total)
exact: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess15.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12110
23710
35310
095
0155
1175
2245
3315
4405
5405
0404
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Compiler

Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
cost-diff1
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
cost-diff2
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
cost-diff2
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
01515
11715
22415
33115
44015
54015
04014
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
#s(literal 841 binary64)
#s(literal 108 binary64)
x
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
#s(literal 4 binary64)
#s(literal 29 binary64)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(*.f64 x #s(literal 841/108 binary64))
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
#s(literal 841/108 binary64)
#s(literal 841 binary64)
#s(literal 108 binary64)
x
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
#s(literal 4/29 binary64)
#s(literal 4 binary64)
#s(literal 29 binary64)

localize67.0ms (0.7%)

Memory
-22.5MiB live, 23.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
accuracy0.0
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
accuracy0.01953125
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy0.09765625
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Samples
13.0ms256×0valid
Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (57% of total)
ival-mult: 2.0ms (28.5% of total)
ival-add: 1.0ms (14.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Outputs
4/29
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
0.0ms
x
@-inf
((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
0.0ms
x
@0
((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

simplify10.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
13214
26214
312214
417214
521914
627814
737714
841314
941714
041712
Stop Event
iter limit
saturated
Counts
4 → 4
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))

rewrite239.0ms (2.5%)

Memory
41.8MiB live, 268.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
01510
13210
215310
3118410
085739
Stop Event
iter limit
node limit
iter limit
Counts
4 → 174
Calls
Call 1
Inputs
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Outputs
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x))))
(*.f64 (/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)) (-.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))))) (+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))) (-.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))))))
(/.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64))) (*.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 707281/11664 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 29/27 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 210457284365172120330305161/1999004627104432128 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 24389/19683 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))))
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(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -841/108 binary64) x) (*.f64 x #s(literal 841/108 binary64))) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 841/108 binary64)) (*.f64 #s(literal -841/108 binary64) x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))))
(+.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) #s(literal 841/108 binary64))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -841/108 binary64) x))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -841/108 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -841/108 binary64) x)) (sqrt.f64 (*.f64 #s(literal -841/108 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64))
(*.f64 (fabs.f64 x) #s(literal 841/108 binary64))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) (fabs.f64 (fabs.f64 x)))
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 841/108 binary64) (fabs.f64 x))
(*.f64 #s(literal 841/108 binary64) x)
(pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -841/108 binary64) x)))
(fabs.f64 (*.f64 #s(literal -841/108 binary64) x))
(fabs.f64 (*.f64 x #s(literal 841/108 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64)))) (sinh.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64)))))

eval22.0ms (0.2%)

Memory
5.2MiB live, 49.5MiB allocated
Compiler

Compiled 5 013 to 600 computations (88% saved)

prune11.0ms (0.1%)

Memory
-19.5MiB live, 23.8MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1698177
Fresh000
Picked101
Done000
Total1708178
Accuracy
100.0%
Counts
178 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
65.8%
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
59.9%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
98.5%
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
99.9%
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
75.0%
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))))
48.3%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 226 to 152 computations (32.7% saved)

simplify219.0ms (2.2%)

Memory
17.3MiB live, 120.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))
cost-diff2
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)))
cost-diff14
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
cost-diff0
(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
cost-diff0
(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
cost-diff6
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
cost-diff0
(*.f64 x #s(literal 841/108 binary64))
cost-diff0
(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
cost-diff6
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
cost-diff0
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
cost-diff0
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030177
046160
173148
2182148
3536148
43307148
57967148
08044146
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(*.f64 x #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)))
(-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 841/108 binary64))
x
#s(literal 841/108 binary64)
#s(literal 2 binary64)
#s(literal 16/841 binary64)
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
(sqrt.f64 (*.f64 #s(literal 841/108 binary64) x))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal 707281/11664 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (*.f64 x x))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(/.f64 x (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))
(-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) #s(literal 16/841 binary64))
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)
x
#s(literal 841/108 binary64)
#s(literal 2 binary64)
#s(literal 16/841 binary64)
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)

localize173.0ms (1.8%)

Memory
-12.9MiB live, 195.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(*.f64 x #s(literal 841/108 binary64))
accuracy0.154628759768442
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))
accuracy0.26171875
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)))
accuracy11.579528204832283
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
accuracy0.046875
(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
accuracy0.07421875
(*.f64 #s(literal 707281/11664 binary64) x)
accuracy0.12890625
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
accuracy0.1953125
(/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
accuracy0.03515625
(*.f64 x #s(literal 841/108 binary64))
accuracy0.04296875
(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
accuracy0.16796875
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
accuracy16.248435115663884
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy0.0078125
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Samples
115.0ms124×0valid
39.0ms130×0invalid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 183 to 32 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-mult: 39.0ms (35.8% of total)
ival-div: 32.0ms (29.4% of total)
const: 22.0ms (20.2% of total)
ival-sqrt: 5.0ms (4.6% of total)
ival-add: 4.0ms (3.7% of total)
ival-sub: 3.0ms (2.8% of total)
ival-pow2: 3.0ms (2.8% of total)
exact: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series49.0ms (0.5%)

Memory
-3.5MiB live, 40.4MiB allocated
Counts
14 → 49
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 #s(literal 707281/11664 binary64) x)
(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)))
(-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
Outputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* (sqrt x) (sqrt 841/108))
(* 841/108 x)
(* -20511149/46656 (pow x 2))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
256/707281
(+ 256/707281 (* -1682/729 (pow x 2)))
(+ 256/707281 (* (pow x 2) (- (* 500246412961/136048896 (pow x 2)) 1682/729)))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
-4/29
(- (* -841/108 x) 4/29)
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(* 500246412961/136048896 (pow x 4))
(* (pow x 4) (- 500246412961/136048896 (* 1682/729 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 500246412961/136048896 (/ 256/707281 (pow x 4))) (* 1682/729 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(/ 1728/707281 x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(* -1 (* x (pow (sqrt -841/108) 2)))
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* x 841/108)) (* x 841/108) (- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (* 707281/11664 x) (/ x (- (* x 841/108) 4/29)) (/ (* (- (pow (* x 841/108) 2) 16/841) (- (pow (* x 841/108) 2) 16/841)) (* (- (pow (* x 841/108) 2) 16/841) (- (* x 841/108) 4/29))) (* (- (pow (* x 841/108) 2) 16/841) (- (pow (* x 841/108) 2) 16/841)) (- (pow (* x 841/108) 2) 16/841) (pow (* x 841/108) 2) (/ 16/841 (- (* x 841/108) 4/29)))
4.0ms
x
@0
((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* x 841/108)) (* x 841/108) (- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (* 707281/11664 x) (/ x (- (* x 841/108) 4/29)) (/ (* (- (pow (* x 841/108) 2) 16/841) (- (pow (* x 841/108) 2) 16/841)) (* (- (pow (* x 841/108) 2) 16/841) (- (* x 841/108) 4/29))) (* (- (pow (* x 841/108) 2) 16/841) (- (pow (* x 841/108) 2) 16/841)) (- (pow (* x 841/108) 2) 16/841) (pow (* x 841/108) 2) (/ 16/841 (- (* x 841/108) 4/29)))
4.0ms
x
@-inf
((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (sqrt (* x 841/108)) (* x 841/108) (- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (* 707281/11664 x) (/ x (- (* x 841/108) 4/29)) (/ (* (- (pow (* x 841/108) 2) 16/841) (- (pow (* x 841/108) 2) 16/841)) (* (- (pow (* x 841/108) 2) 16/841) (- (* x 841/108) 4/29))) (* (- (pow (* x 841/108) 2) 16/841) (- (pow (* x 841/108) 2) 16/841)) (- (pow (* x 841/108) 2) 16/841) (pow (* x 841/108) 2) (/ 16/841 (- (* x 841/108) 4/29)))

simplify559.0ms (5.7%)

Memory
-13.8MiB live, 276.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200423
1494407
21192396
33331387
08578375
Stop Event
iter limit
node limit
Counts
49 → 49
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* (sqrt x) (sqrt 841/108))
(* 841/108 x)
(* -20511149/46656 (pow x 2))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
256/707281
(+ 256/707281 (* -1682/729 (pow x 2)))
(+ 256/707281 (* (pow x 2) (- (* 500246412961/136048896 (pow x 2)) 1682/729)))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
-4/29
(- (* -841/108 x) 4/29)
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(* 500246412961/136048896 (pow x 4))
(* (pow x 4) (- 500246412961/136048896 (* 1682/729 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 500246412961/136048896 (/ 256/707281 (pow x 4))) (* 1682/729 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(/ 1728/707281 x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(* -1 (* x (pow (sqrt -841/108) 2)))
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* (sqrt x) (sqrt 841/108))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 841/108 binary64)))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -20511149/46656 (pow x 2))
(*.f64 (*.f64 #s(literal -20511149/46656 binary64) x) x)
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -12200509765705829/8707129344 binary64) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -297558232675799463481/3761479876608 binary64) x) #s(literal 12200509765705829/8707129344 binary64)) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* -29/4 x)
(*.f64 #s(literal -29/4 binary64) x)
(* x (- (* -707281/1728 x) 29/4))
(*.f64 (-.f64 (*.f64 #s(literal -707281/1728 binary64) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17249876309/746496 binary64) x) #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -420707233300201/322486272 binary64) x) #s(literal 17249876309/746496 binary64)) x) #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
256/707281
#s(literal 256/707281 binary64)
(+ 256/707281 (* -1682/729 (pow x 2)))
(fma.f64 #s(literal -1682/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))
(+ 256/707281 (* (pow x 2) (- (* 500246412961/136048896 (pow x 2)) 1682/729)))
(fma.f64 (-.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) #s(literal 1682/729 binary64)) (*.f64 x x) #s(literal 256/707281 binary64))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)
-4/29
#s(literal -4/29 binary64)
(- (* -841/108 x) 4/29)
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -20511149/46656 binary64) x) #s(literal 841/108 binary64)) x) #s(literal 4/29 binary64))
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) #s(literal 841/108 binary64)) x) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (pow (sqrt 841/108) 2))
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(-.f64 (/.f64 #s(literal 1728/707281 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(fma.f64 #s(literal 841/108 binary64) x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x) #s(literal -4/29 binary64)))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x))
(* 500246412961/136048896 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64))
(* (pow x 4) (- 500246412961/136048896 (* 1682/729 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 500246412961/136048896 binary64) (/.f64 #s(literal 1682/729 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 500246412961/136048896 (/ 256/707281 (pow x 4))) (* 1682/729 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 256/707281 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 500246412961/136048896 binary64)) (/.f64 #s(literal 1682/729 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(* -1 (* x (pow (sqrt -841/108) 2)))
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -841/108 binary64)) (sqrt.f64 x)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1728/707281 binary64) x) #s(literal 4/29 binary64)) x) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x)) x) #s(literal 841/108 binary64)))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)

rewrite273.0ms (2.8%)

Memory
0.3MiB live, 233.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030131
04678
115478
295777
0964577
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 240
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 #s(literal 707281/11664 binary64) x)
(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)))
(-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))) (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
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(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
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(*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64)))
(neg.f64 (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 #s(literal 29/27 binary64) x)))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (*.f64 #s(literal -841/108 binary64) x) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) #s(literal 4/29 binary64) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (*.f64 #s(literal -841/108 binary64) x)))
(fma.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 (*.f64 #s(literal 29/27 binary64) x) (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
(fma.f64 (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
(fma.f64 (*.f64 #s(literal -841/108 binary64) x) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (*.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))))
(fma.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (*.f64 (*.f64 #s(literal -841/108 binary64) x) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (*.f64 (*.f64 #s(literal 29/27 binary64) x) (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (*.f64 (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -841/108 binary64) x) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))) (*.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))))
(+.f64 (*.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))) (*.f64 (*.f64 #s(literal -841/108 binary64) x) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 #s(literal 29/27 binary64) x)))
(+.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (*.f64 #s(literal -841/108 binary64) x)) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) #s(literal 4/29 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) #s(literal 4/29 binary64)) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (*.f64 #s(literal -841/108 binary64) x)))

eval382.0ms (3.9%)

Memory
32.2MiB live, 314.5MiB allocated
Compiler

Compiled 43 228 to 3 582 computations (91.7% saved)

prune131.0ms (1.3%)

Memory
-16.8MiB live, 87.0MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1 33741 341
Fresh213
Picked325
Done000
Total1 34271 349
Accuracy
100.0%
Counts
1 349 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
75.0%
(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
95.7%
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
99.9%
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
48.3%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
52.4%
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Compiler

Compiled 135 to 111 computations (17.8% saved)

simplify27.0ms (0.3%)

Memory
-23.9MiB live, 22.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
cost-diff0
(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
cost-diff0
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
cost-diff0
(sqrt.f64 #s(literal 841/108 binary64))
cost-diff0
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
cost-diff4
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
cost-diff0
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
cost-diff0
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
cost-diff0
(*.f64 #s(literal -841/108 binary64) x)
cost-diff1
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032141
051132
184132
2166132
3349132
4621132
5849132
6967132
71014132
81026132
91039132
101040132
01040129
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
#s(literal 4/29 binary64)
(*.f64 #s(literal -841/108 binary64) x)
#s(literal -841/108 binary64)
x
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
#s(literal -707281/11664 binary64)
(*.f64 x x)
x
#s(literal 16/841 binary64)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
x
(sqrt.f64 #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(*.f64 x #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
Outputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(*.f64 #s(literal -841/108 binary64) x)
(*.f64 x #s(literal -841/108 binary64))
#s(literal -841/108 binary64)
x
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
#s(literal -707281/11664 binary64)
(*.f64 x x)
x
#s(literal 16/841 binary64)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
x
(sqrt.f64 #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal 707281/11664 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (*.f64 x x)) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal 707281/11664 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (*.f64 x x))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(/.f64 x (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)

localize227.0ms (2.3%)

Memory
3.9MiB live, 140.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
accuracy0.07421875
(*.f64 #s(literal 707281/11664 binary64) x)
accuracy0.12890625
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
accuracy16.87032395730866
#s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64))
accuracy0.0
(sqrt.f64 #s(literal 841/108 binary64))
accuracy0.0546875
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
accuracy0.109375
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy0.0390625
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
accuracy7.070439464063323
(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy0.03515625
(*.f64 #s(literal 841/108 binary64) x)
accuracy14.205617100410027
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
accuracy0.0078125
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
accuracy0.03515625
(*.f64 #s(literal -841/108 binary64) x)
Samples
92.0ms124×0valid
33.0ms130×0invalid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 140 to 32 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 62.0ms (62.5% of total)
const: 21.0ms (21.2% of total)
ival-div: 5.0ms (5% of total)
ival-add: 4.0ms (4% of total)
ival-sub: 3.0ms (3% of total)
ival-sqrt: 3.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
16 → 48
Calls
Call 1
Inputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal -841/108 binary64) x)
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(*.f64 x x)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
(sqrt.f64 #s(literal 841/108 binary64))
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 #s(literal 707281/11664 binary64) x)
(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
#s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64))
Outputs
4/29
(+ 4/29 (* 841/108 x))
(* -841/108 x)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 841/108 x)
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(pow x 2)
(+ 4/29 (* -841/108 x))
(* x (sqrt 841/108))
(* -20511149/46656 (pow x 2))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
-4/29
(- (* -841/108 x) 4/29)
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(/ 1728/707281 x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(* -1 (* x (pow (sqrt -841/108) 2)))
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((- 4/29 (* -841/108 x)) (* -841/108 x) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (* 841/108 x) (/ (+ (* -707281/11664 (* x x)) 16/841) (+ (* -841/108 x) 4/29)) (+ (* -707281/11664 (* x x)) 16/841) (* x x) (+ (* -841/108 x) 4/29) (+ (* (* x (sqrt 841/108)) (sqrt 841/108)) 4/29) (* x (sqrt 841/108)) (sqrt 841/108) (- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (* 707281/11664 x) (/ x (- (* x 841/108) 4/29)) (/ 16/841 (- (* x 841/108) 4/29)))
2.0ms
x
@inf
((- 4/29 (* -841/108 x)) (* -841/108 x) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (* 841/108 x) (/ (+ (* -707281/11664 (* x x)) 16/841) (+ (* -841/108 x) 4/29)) (+ (* -707281/11664 (* x x)) 16/841) (* x x) (+ (* -841/108 x) 4/29) (+ (* (* x (sqrt 841/108)) (sqrt 841/108)) 4/29) (* x (sqrt 841/108)) (sqrt 841/108) (- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (* 707281/11664 x) (/ x (- (* x 841/108) 4/29)) (/ 16/841 (- (* x 841/108) 4/29)))
2.0ms
x
@0
((- 4/29 (* -841/108 x)) (* -841/108 x) (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (* 841/108 x) (/ (+ (* -707281/11664 (* x x)) 16/841) (+ (* -841/108 x) 4/29)) (+ (* -707281/11664 (* x x)) 16/841) (* x x) (+ (* -841/108 x) 4/29) (+ (* (* x (sqrt 841/108)) (sqrt 841/108)) 4/29) (* x (sqrt 841/108)) (sqrt 841/108) (- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (* 707281/11664 x) (/ x (- (* x 841/108) 4/29)) (/ 16/841 (- (* x 841/108) 4/29)))

simplify225.0ms (2.3%)

Memory
22.3MiB live, 207.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0185391
1464375
21130364
33040355
08767343
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(* -841/108 x)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* 841/108 x)
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(pow x 2)
(+ 4/29 (* -841/108 x))
(* x (sqrt 841/108))
(* -20511149/46656 (pow x 2))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
-4/29
(- (* -841/108 x) 4/29)
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(/ 1728/707281 x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(* -1 (* x (pow (sqrt -841/108) 2)))
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x)))))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(pow x 2)
(*.f64 x x)
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(* -20511149/46656 (pow x 2))
(*.f64 #s(literal -20511149/46656 binary64) (*.f64 x x))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -12200509765705829/8707129344 binary64) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -297558232675799463481/3761479876608 binary64) x) #s(literal 12200509765705829/8707129344 binary64)) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* -29/4 x)
(*.f64 #s(literal -29/4 binary64) x)
(* x (- (* -707281/1728 x) 29/4))
(*.f64 (-.f64 (*.f64 #s(literal -707281/1728 binary64) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17249876309/746496 binary64) x) #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -420707233300201/322486272 binary64) x) #s(literal 17249876309/746496 binary64)) x) #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
-4/29
#s(literal -4/29 binary64)
(- (* -841/108 x) 4/29)
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -20511149/46656 binary64) x) #s(literal 841/108 binary64)) x) #s(literal 4/29 binary64))
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) #s(literal 841/108 binary64)) x) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (pow (sqrt 841/108) 2))
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 707281/11664 binary64)) x) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(-.f64 (fma.f64 #s(literal 841/108 binary64) x (/.f64 #s(literal 1728/707281 binary64) x)) #s(literal -4/29 binary64))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(fma.f64 #s(literal 841/108 binary64) x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x) #s(literal -4/29 binary64)))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x))
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(* -1 (* x (pow (sqrt -841/108) 2)))
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1728/707281 binary64) x) #s(literal 4/29 binary64)) x) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x)) x) #s(literal 841/108 binary64)))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)

rewrite257.0ms (2.6%)

Memory
-6.4MiB live, 329.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032115
051101
1174101
2118696
0950896
Stop Event
iter limit
node limit
iter limit
Counts
16 → 2 129
Calls
Call 1
Inputs
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal -841/108 binary64) x)
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(*.f64 x x)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
(sqrt.f64 #s(literal 841/108 binary64))
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(*.f64 #s(literal 707281/11664 binary64) x)
(/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
#s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 841/729 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64)) (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
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(*.f64 #s(literal 707281/11664 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 #s(literal -707281/11664 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 x (neg.f64 (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))))
(*.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 841/729 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64)) #s(literal 256/707281 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -353814783205469041/1586874322944 binary64) #s(literal 4096/594823321 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 841/729 binary64) (*.f64 x x)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64)) (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (neg.f64 (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 (neg.f64 x) #s(literal -707281/11664 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
(*.f64 #s(literal -707281/11664 binary64) (neg.f64 x))
(*.f64 x #s(literal 707281/11664 binary64))
(neg.f64 (*.f64 #s(literal -707281/11664 binary64) x))
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))
(/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 841/729 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))))
(/.f64 (*.f64 x (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))))
(/.f64 (*.f64 x (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64)) #s(literal 256/707281 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(/.f64 (*.f64 x (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -353814783205469041/1586874322944 binary64) #s(literal 4096/594823321 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal 841/729 binary64) (*.f64 x x)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64)) (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 x (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(neg.f64 (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
#s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64))

eval98.0ms (1%)

Memory
0.9MiB live, 183.6MiB allocated
Compiler

Compiled 25 697 to 2 017 computations (92.2% saved)

prune16.0ms (0.2%)

Memory
4.4MiB live, 50.8MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New8252827
Fresh000
Picked145
Done022
Total8268834
Accuracy
100.0%
Counts
834 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
27.8%
(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
95.7%
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
99.3%
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
99.9%
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
48.3%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
52.4%
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Compiler

Compiled 105 to 84 computations (20% saved)

simplify12.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
cost-diff0
#s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff0
#s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))
cost-diff0
(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64)))
cost-diff0
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026108
034108
151108
296108
3180108
4261108
5297108
6327108
7348108
8350108
9354108
10357108
0357106
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64)))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
#s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))
#s(literal 108/841 binary64)
#s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
Outputs
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
(-.f64 (*.f64 (*.f64 #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64)) #s(literal 707281/11664 binary64)) x) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64)))
(*.f64 (*.f64 #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64)) #s(literal 707281/11664 binary64)) x)
(*.f64 #s(literal 707281/11664 binary64) x)
(*.f64 x #s(literal 707281/11664 binary64))
#s(literal 707281/11664 binary64)
x
#s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))
#s(literal 108/841 binary64)
#s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
#s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x)
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)

localize73.0ms (0.8%)

Memory
-28.6MiB live, 117.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy0.15390134254663357
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
accuracy15.997676623272211
(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy30.25428718819896
#s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
accuracy0.1640625
(*.f64 #s(literal 707281/11664 binary64) x)
accuracy0.43727827183597323
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64)))
accuracy30.31400928750862
#s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))
accuracy33.060105994978905
#s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64))
Samples
59.0ms251×0valid
1.0ms1valid
0.0ms2valid
Compiler

Compiled 90 to 25 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
const: 27.0ms (54.4% of total)
ival-mult: 11.0ms (22.2% of total)
ival-div: 5.0ms (10.1% of total)
ival-add: 4.0ms (8.1% of total)
ival-sub: 2.0ms (4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
10 → 41
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64)))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))
(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(*.f64 x x)
#s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
Outputs
4/29
(+ 4/29 (* 841/108 x))
(* -20511149/46656 (pow x 2))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(pow x 2)
-4/29
(- (* -841/108 x) 4/29)
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(+ 4/29 (* -841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(/ 1728/707281 x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (* 707281/11664 x) (/ x (- (* x 841/108) 4/29)) (/ (+ (* -707281/11664 (* x x)) 16/841) (+ (* -841/108 x) 4/29)) (+ (* -707281/11664 (* x x)) 16/841) (* (* x x) -707281/11664) (* x x) (/ 16/841 (- (* x 841/108) 4/29)) (+ (* -841/108 x) 4/29))
1.0ms
x
@-inf
((- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (* 707281/11664 x) (/ x (- (* x 841/108) 4/29)) (/ (+ (* -707281/11664 (* x x)) 16/841) (+ (* -841/108 x) 4/29)) (+ (* -707281/11664 (* x x)) 16/841) (* (* x x) -707281/11664) (* x x) (/ 16/841 (- (* x 841/108) 4/29)) (+ (* -841/108 x) 4/29))
1.0ms
x
@0
((- (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (/ 16/841 (- (* x 841/108) 4/29))) (* (* 707281/11664 x) (/ x (- (* x 841/108) 4/29))) (* 707281/11664 x) (/ x (- (* x 841/108) 4/29)) (/ (+ (* -707281/11664 (* x x)) 16/841) (+ (* -841/108 x) 4/29)) (+ (* -707281/11664 (* x x)) 16/841) (* (* x x) -707281/11664) (* x x) (/ 16/841 (- (* x 841/108) 4/29)) (+ (* -841/108 x) 4/29))

simplify356.0ms (3.6%)

Memory
-19.9MiB live, 227.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167361
1417345
2989334
32806325
08584318
Stop Event
iter limit
node limit
Counts
41 → 41
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(* -20511149/46656 (pow x 2))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(pow x 2)
-4/29
(- (* -841/108 x) 4/29)
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(+ 4/29 (* -841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(/ 1728/707281 x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -20511149/46656 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -20511149/46656 binary64))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) x)
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -12200509765705829/8707129344 binary64) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -297558232675799463481/3761479876608 binary64) x) #s(literal 12200509765705829/8707129344 binary64)) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* -29/4 x)
(*.f64 #s(literal -29/4 binary64) x)
(* x (- (* -707281/1728 x) 29/4))
(*.f64 (-.f64 (*.f64 #s(literal -707281/1728 binary64) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17249876309/746496 binary64) x) #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -420707233300201/322486272 binary64) x) #s(literal 17249876309/746496 binary64)) x) #s(literal 707281/1728 binary64)) x) #s(literal 29/4 binary64)) x)
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(pow x 2)
(*.f64 x x)
-4/29
#s(literal -4/29 binary64)
(- (* -841/108 x) 4/29)
(-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -20511149/46656 binary64) x) #s(literal 841/108 binary64)) x) #s(literal 4/29 binary64))
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) x) #s(literal 841/108 binary64)) x) #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(-.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) (/.f64 #s(literal -1728/707281 binary64) x))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(fma.f64 #s(literal 841/108 binary64) x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x) #s(literal -4/29 binary64)))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 707281/11664 binary64)) x) x)
(/ 1728/707281 x)
(/.f64 #s(literal 1728/707281 binary64) x)
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1728/707281 binary64) x) #s(literal 4/29 binary64)) x) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x)) x) #s(literal 841/108 binary64)))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x))
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal 1728/707281 binary64)) x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))

rewrite195.0ms (2%)

Memory
12.0MiB live, 240.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026100
034100
1111100
2687100
36281100
0820598
Stop Event
iter limit
node limit
iter limit
Counts
10 → 184
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64)))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))
(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(*.f64 x x)
#s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
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(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal 64/24389 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 #s(literal 594823321/1259712 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 #s(literal -594823321/1259712 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 594823321/1259712 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -594823321/1259712 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (/.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (/.f64 (*.f64 #s(literal -841/108 binary64) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 (neg.f64 x) #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 (*.f64 #s(literal -841/108 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(fma.f64 #s(literal 841/108 binary64) (neg.f64 x) #s(literal 4/29 binary64))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(-.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(+.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(+.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(+.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))

eval195.0ms (2%)

Memory
16.2MiB live, 61.0MiB allocated
Compiler

Compiled 10 129 to 879 computations (91.3% saved)

prune8.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New2171218
Fresh000
Picked112
Done066
Total2188226
Accuracy
100.0%
Counts
226 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
27.5%
(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
95.7%
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
99.3%
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
99.9%
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
48.3%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
52.4%
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Compiler

Compiled 351 to 183 computations (47.9% saved)

regimes20.0ms (0.2%)

Memory
-40.9MiB live, 19.8MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ x (- (* x 841/108) 4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (- (* x 841/108) 4/29)) #s(literal -4/29 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))))
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Calls

3 calls:

10.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
5.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
4.0ms
x
Results
AccuracySegmentsBranch
99.9%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
99.9%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
99.9%1x
Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Outputs
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Calls

3 calls:

1.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms
x
1.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
97.1%3(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
97.1%3(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
97.1%3x
Compiler

Compiled 15 to 15 computations (0% saved)

regimes3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Outputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Calls

3 calls:

1.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms
x
1.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
48.3%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
48.3%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
48.3%1x
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch31.0ms (0.3%)

Memory
4.7MiB live, 49.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
5.214981241588347e-19
0.1007125364702
11.0ms
-5.445759210677779
-0.0008095645917232097
Samples
16.0ms288×0valid
Compiler

Compiled 480 to 427 computations (11% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (37.3% of total)
ival-add: 4.0ms (37.3% of total)
ival-mult: 2.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02536
13636
25836
38236
49436
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 x #s(literal -5188146770730811/288230376151711744 binary64)) #s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 x #s(literal 1261007895663739/72057594037927936 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 x #s(literal -5188146770730811/288230376151711744 binary64)) #s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 x #s(literal 1261007895663739/72057594037927936 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* x 841/108)) (sqrt (* x 841/108))) 4/29) (*.f64 #s(literal 841/108 binary64) x))))
(if (or (<=.f64 x #s(literal -5188146770730811/288230376151711744 binary64)) (not (<=.f64 x #s(literal 1261007895663739/72057594037927936 binary64)))) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

soundness503.0ms (5.2%)

Memory
-16.9MiB live, 218.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200423
1494407
21192396
33331387
08578375
01014
13214
26214
312214
417214
521914
627814
737714
841314
941714
041712
0910
01510
13210
215310
3118410
085739
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
saturated
iter limit
node limit
Compiler

Compiled 139 to 63 computations (54.7% saved)

preprocess21.0ms (0.2%)

Memory
-1.9MiB live, 43.6MiB allocated
Compiler

Compiled 114 to 62 computations (45.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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