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

Time bar (total: 5.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample1.1s (19.7%)

Memory
-18.5MiB live, 1 502.9MiB allocated
Samples
673.0ms8 253×0valid
0.0ms1valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 453.0ms
ival-div: 293.0ms (64.6% of total)
ival-add: 79.0ms (17.4% of total)
ival-mult: 58.0ms (12.8% of total)
exact: 15.0ms (3.3% of total)
ival-true: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain366.0ms (6.6%)

Memory
-20.1MiB live, 243.2MiB 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
52.0ms512×0valid
Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 22.0ms (68.9% of total)
ival-mult: 4.0ms (12.5% of total)
ival-add: 3.0ms (9.4% of total)
ival-true: 1.0ms (3.1% of total)
exact: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)

preprocess19.0ms (0.3%)

Memory
-12.2MiB live, 43.9MiB 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)

prune2.0ms (0%)

Memory
1.7MiB live, 1.7MiB 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)

simplify5.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB 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)

localize20.0ms (0.4%)

Memory
37.9MiB live, 37.9MiB 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))
accuracy0.0078125
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy0.109375
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Samples
14.0ms256×0valid
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 (53.7% of total)
ival-mult: 2.0ms (26.9% of total)
ival-add: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory
-42.1MiB live, 3.1MiB 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
29.0ms
x
@-inf
((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
1.0ms
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))

simplify11.0ms (0.2%)

Memory
8.5MiB live, 8.5MiB 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))

rewrite436.0ms (7.9%)

Memory
21.5MiB live, 203.1MiB 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)))))

eval41.0ms (0.7%)

Memory
9.2MiB live, 53.9MiB allocated
Compiler

Compiled 5 013 to 600 computations (88% saved)

prune10.0ms (0.2%)

Memory
-19.1MiB live, 25.7MiB 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
66.5%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
54.6%
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
52.7%
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #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)))
78.4%
(/.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))))
99.6%
(-.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))))
78.4%
(+.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)))))
53.5%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 214 to 156 computations (27.1% saved)

simplify64.0ms (1.2%)

Memory
-1.8MiB live, 93.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #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)))
cost-diff0
(*.f64 x #s(literal 841/108 binary64))
cost-diff0
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
cost-diff1
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
cost-diff6
(+.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)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 841/108 binary64))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #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
037149
058142
188142
2191142
3521142
41237142
51907142
62097142
72111142
82123142
92143142
102155142
112156142
02156137
Stop Event
iter limit
saturated
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 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)))
(*.f64 (*.f64 x x) #s(literal 841/108 binary64))
(*.f64 x x)
x
#s(literal 841/108 binary64)
(sqrt.f64 #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 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
#s(literal 16/841 binary64)
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
#s(literal 4/29 binary64)
(*.f64 x #s(literal 841/108 binary64))
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 #s(literal -707281/11664 binary64) (*.f64 x x))
#s(literal -707281/11664 binary64)
(*.f64 x x)
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #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)))
(fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))
#s(literal -594823321/1259712 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#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 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
#s(literal 29/27 binary64)
#s(literal 16/841 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 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)))
(*.f64 (*.f64 x x) #s(literal 841/108 binary64))
(*.f64 x x)
x
#s(literal 841/108 binary64)
(sqrt.f64 #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 (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)))
(/.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) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)
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) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) x)
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
#s(literal -707281/11664 binary64)
(*.f64 x x)
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) 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 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))
#s(literal -594823321/1259712 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#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))
(fma.f64 (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64))
(-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
#s(literal 29/27 binary64)
#s(literal 16/841 binary64)

localize211.0ms (3.8%)

Memory
-3.2MiB live, 240.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))
accuracy0.08984375
(fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))
accuracy0.2109375
(*.f64 #s(literal 707281/11664 binary64) x)
accuracy18.34716337008213
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #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)))
accuracy0.109375
(*.f64 x #s(literal 841/108 binary64))
accuracy0.14453125
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
accuracy0.28810502930532605
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy13.919681216076293
(/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))
accuracy0.0
(sqrt.f64 #s(literal 841/108 binary64))
accuracy0.1328125
(*.f64 (*.f64 x x) #s(literal 841/108 binary64))
accuracy0.17578125
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
accuracy27.974814914316788
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)))
accuracy29.74091726913548
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy0.0625
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Samples
149.0ms256×0valid
Compiler

Compiled 159 to 41 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
const: 54.0ms (50.4% of total)
ival-mult: 23.0ms (21.5% of total)
ival-div: 8.0ms (7.5% of total)
ival-pow: 8.0ms (7.5% of total)
ival-add: 7.0ms (6.5% of total)
ival-sqrt: 4.0ms (3.7% of total)
ival-sub: 2.0ms (1.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
26.8MiB live, 26.8MiB allocated
Counts
18 → 55
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 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)))
(*.f64 (*.f64 x x) #s(literal 841/108 binary64))
(*.f64 x x)
(+.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 #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 x #s(literal 841/108 binary64))
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #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)))
(fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))
(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))
(sqrt.f64 #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 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 #s(literal 707281/11664 binary64) x)
Outputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* x (sqrt 841/108))
(* 841/108 (pow x 2))
(pow x 2)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* 841/108 x)
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2)))))
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696)))))
64/24389
(+ 64/24389 (* -594823321/1259712 (pow x 3)))
(pow x 3)
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(* -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 (pow x 2))
(* 707281/11664 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x)))))
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x)))))
(* -594823321/1259712 (pow x 3))
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 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)))))))
(* -1 (* x (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (sqrt 841/108)))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x)))))
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x)))))
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3))))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) 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)))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt (* (* x x) 841/108)) (* (* x x) 841/108) (* x x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (pow x 3) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (sqrt 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (* 707281/11664 x))
4.0ms
x
@0
((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt (* (* x x) 841/108)) (* (* x x) 841/108) (* x x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (pow x 3) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (sqrt 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (* 707281/11664 x))
4.0ms
x
@-inf
((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt (* (* x x) 841/108)) (* (* x x) 841/108) (* x x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (pow x 3) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (sqrt 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (* 707281/11664 x))

simplify173.0ms (3.1%)

Memory
1.0MiB live, 191.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208477
1620465
21785443
35372436
08338411
Stop Event
iter limit
node limit
Counts
55 → 55
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* x (sqrt 841/108))
(* 841/108 (pow x 2))
(pow x 2)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* 841/108 x)
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2)))))
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696)))))
64/24389
(+ 64/24389 (* -594823321/1259712 (pow x 3)))
(pow x 3)
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(* -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 (pow x 2))
(* 707281/11664 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x)))))
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x)))))
(* -594823321/1259712 (pow x 3))
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 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)))))))
(* -1 (* x (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (sqrt 841/108)))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x)))))
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x)))))
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3))))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) 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)))
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))
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(* 841/108 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 841/108 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))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -500246412961/10077696 binary64) (*.f64 x x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -12200509765705829/4353564672 binary64) x) #s(literal 500246412961/10077696 binary64)) (*.f64 x x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
64/24389
#s(literal 64/24389 binary64)
(+ 64/24389 (* -594823321/1259712 (pow x 3)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -29/27 x))
(fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(fma.f64 (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64))
(* -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 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) (*.f64 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 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 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))
(* -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)
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x) #s(literal -1728/707281 binary64)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) 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))
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 644972544/420707233300201 binary64) x) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* -594823321/1259712 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64))
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712))
(*.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 707281/11664 (pow x 2))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(*.f64 (*.f64 (-.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 29/27 binary64) x)) x) x)
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(*.f64 (*.f64 (-.f64 #s(literal 707281/11664 binary64) (/.f64 (-.f64 #s(literal 29/27 binary64) (/.f64 #s(literal 16/841 binary64) x)) x)) x) x)
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 841/108 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x) x)) x #s(literal 4/29 binary64))
(* -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 (sqrt 841/108)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 841/108 binary64)))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x) #s(literal -1728/707281 binary64)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal -1728/707281 binary64)) x)
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x)))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 644972544/420707233300201 binary64) x) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3))))))
(*.f64 (+.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(*.f64 (*.f64 (-.f64 #s(literal 707281/11664 binary64) (/.f64 (-.f64 #s(literal 29/27 binary64) (/.f64 #s(literal 16/841 binary64) x)) x)) x) x)
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)) 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 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)) x) #s(literal 841/108 binary64)))

rewrite258.0ms (4.7%)

Memory
16.8MiB live, 305.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037122
05899
121498
2142995
0901095
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 489
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 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)))
(*.f64 (*.f64 x x) #s(literal 841/108 binary64))
(*.f64 x x)
(+.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 #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 x #s(literal 841/108 binary64))
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #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)))
(fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))
(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))
(sqrt.f64 #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 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 #s(literal 707281/11664 binary64) x)
Outputs
(*.f64 (/.f64 (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 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 (/.f64 (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 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (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 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x))))
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)))) (+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x))))
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))))) (+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #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 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) (+.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))))
(/.f64 (-.f64 (*.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)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 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)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 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 841/108 binary64) x) #s(literal 4 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))))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 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))))) (+.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal 16/841 binary64) (*.f64 (*.f64 #s(literal -841/108 binary64) x) (*.f64 #s(literal -841/108 binary64) x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (-.f64 (*.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 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (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 3 binary64)) (-.f64 (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) (*.f64 #s(literal 707281/11664 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 (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 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 707281/11664 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 (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 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 707281/11664 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 (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 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 707281/11664 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 (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 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 707281/11664 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 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #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 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #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 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -707281/11664 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 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -707281/11664 binary64)) (*.f64 x x)) (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 (*.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x))))) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))))) (-.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 #s(literal 707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (*.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x))))))
(/.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #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 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #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 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))))))
(/.f64 (-.f64 (pow.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)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 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))) #s(literal 3 binary64))) (fma.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)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 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)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 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 841/108 binary64) x) #s(literal 4 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 16/841 binary64) (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 841/108 binary64) x) #s(literal 4 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)))))))
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(*.f64 (/.f64 (*.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 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (*.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 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 841/108 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (*.f64 #s(literal 841/108 binary64) x)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 841/108 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 (sqrt.f64 #s(literal 841/108 binary64)) x) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 841/108 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 (sqrt.f64 #s(literal 841/108 binary64)) x) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (*.f64 #s(literal 841/108 binary64) x)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 (/.f64 (*.f64 (sqrt.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 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (*.f64 (sqrt.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 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 #s(literal 841/108 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal 841/108 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal 841/108 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 #s(literal -707281/11664 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 #s(literal 707281/11664 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal -707281/11664 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal 707281/11664 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal -707281/11664 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))))
(*.f64 (/.f64 #s(literal 841/108 binary64) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal 841/108 binary64) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 x x) #s(literal 841/108 binary64)) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 #s(literal 841/108 binary64) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 x x) #s(literal 841/108 binary64)) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))))
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (*.f64 #s(literal 841/108 binary64) (*.f64 #s(literal 841/108 binary64) x)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal -707281/11664 binary64) x) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))))
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal 841/108 binary64) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal 841/108 binary64) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))))
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))))
(*.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (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 707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))
(*.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal -707281/11664 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 #s(literal -707281/11664 binary64) (*.f64 x (/.f64 x (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 #s(literal 707281/11664 binary64) (*.f64 x x)) (neg.f64 (neg.f64 (+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))))
(/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (neg.f64 (+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))))
(/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
(/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(neg.f64 (*.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 (*.f64 #s(literal 841/108 binary64) x) (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x))
(*.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) x)
(*.f64 (neg.f64 (*.f64 #s(literal -707281/11664 binary64) x)) x)
(*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x)
(*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 841/108 binary64) x) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (*.f64 #s(literal 841/108 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (*.f64 #s(literal 841/108 binary64) x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) #s(literal 841/108 binary64))
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(*.f64 #s(literal 841/108 binary64) (*.f64 (*.f64 x x) #s(literal 841/108 binary64)))
(*.f64 x (*.f64 #s(literal 841/108 binary64) (*.f64 #s(literal 841/108 binary64) x)))
(*.f64 x (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)))
(*.f64 x (*.f64 #s(literal -707281/11664 binary64) x))
(pow.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)))
(fabs.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 707281/11664 binary64) x)
(*.f64 x #s(literal 707281/11664 binary64))
(sqrt.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 707281/11664 binary64) x)))
(fabs.f64 (*.f64 #s(literal 707281/11664 binary64) x))

eval305.0ms (5.5%)

Memory
-13.0MiB live, 172.5MiB allocated
Compiler

Compiled 22 716 to 2 277 computations (90% saved)

prune21.0ms (0.4%)

Memory
-3.9MiB live, 42.5MiB allocated
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New7445749
Fresh213
Picked325
Done000
Total7498757
Accuracy
100.0%
Counts
757 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
54.6%
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
70.4%
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 841/108 binary64) x) #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)))
76.9%
(/.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)))
53.7%
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #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)))
53.5%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
48.8%
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Compiler

Compiled 173 to 143 computations (17.3% saved)

simplify36.0ms (0.7%)

Memory
-5.6MiB live, 41.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #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 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64))
cost-diff0
(fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))
cost-diff0
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64))
cost-diff0
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #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)))
cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
cost-diff0
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
cost-diff0
(sqrt.f64 #s(literal 841/108 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
cost-diff4
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035134
054138
184138
2183130
3483130
4998129
51252129
61318125
71346125
81356125
91367125
101368125
01368122
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(sqrt.f64 #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
x
#s(literal 4/29 binary64)
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #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(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 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))
x
(-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
#s(literal 29/27 binary64)
#s(literal 16/841 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)))
(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 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
(sqrt.f64 x)
#s(literal 4/29 binary64)
Outputs
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
(sqrt.f64 #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
x
#s(literal 4/29 binary64)
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
x
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #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 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64)))
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 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))
(fma.f64 (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64))
x
(-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
#s(literal 29/27 binary64)
#s(literal 16/841 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 (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 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
(sqrt.f64 x)
#s(literal 4/29 binary64)

localize111.0ms (2%)

Memory
28.8MiB live, 172.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.0625
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
accuracy0.0859375
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
accuracy0.10546875
(*.f64 #s(literal 707281/11664 binary64) x)
accuracy0.0
(*.f64 x x)
accuracy0.03125
(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))
accuracy6.822010295222704
(/.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)))
accuracy0.04296875
(fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))
accuracy0.10546875
(*.f64 #s(literal 707281/11664 binary64) x)
accuracy8.965174277873132
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #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)))
accuracy15.785135165845801
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64))
accuracy0.0703125
(*.f64 #s(literal 841/108 binary64) x)
accuracy18.421135809179955
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
accuracy0.0
(sqrt.f64 #s(literal 841/108 binary64))
accuracy0.08984375
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
accuracy0.109375
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
Samples
50.0ms116×0invalid
43.0ms140×0valid
Compiler

Compiled 136 to 37 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
const: 24.0ms (30.8% of total)
ival-sqrt: 19.0ms (24.4% of total)
ival-mult: 17.0ms (21.8% of total)
ival-add: 7.0ms (9% of total)
ival-pow: 6.0ms (7.7% of total)
ival-div: 3.0ms (3.9% of total)
ival-sub: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series120.0ms (2.2%)

Memory
-32.0MiB live, 14.0MiB allocated
Counts
17 → 54
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(sqrt.f64 #s(literal 841/108 binary64))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #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(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #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 #s(literal 707281/11664 binary64) x) #s(literal 29/27 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)))
(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 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(*.f64 #s(literal 707281/11664 binary64) x)
(sqrt.f64 x)
Outputs
4/29
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* x (sqrt 841/108))
(* 841/108 x)
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2)))))
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696)))))
64/24389
(+ 64/24389 (* -594823321/1259712 (pow x 3)))
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
-29/27
(- (* 707281/11664 x) 29/27)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(+ 16/841 (* 707281/11664 (pow x 2)))
(pow x 2)
(* 841/108 (sqrt x))
(* 707281/11664 x)
(sqrt x)
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -841/108 x)
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x)))))
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x)))))
(* -594823321/1259712 (pow x 3))
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x)))))
(* -1 (* x (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x)))))
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x)))))
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3))))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(* -1 (* x (* (sqrt -707281/11664) (sqrt -1))))
(* -1 (* x (- (* (sqrt -707281/11664) (sqrt -1)) (* 4/29 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -707281/11664) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
112.0ms
x
@inf
((+ (* (* (sqrt 841/108) x) (sqrt 841/108)) 4/29) (* (sqrt 841/108) x) (sqrt 841/108) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* 841/108 x) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (- (* 707281/11664 x) 29/27) (/ (+ (* 707281/11664 (* x x)) 16/841) (+ (* 841/108 x) 4/29)) (+ (* 707281/11664 (* x x)) 16/841) (* x x) (+ (* 841/108 x) 4/29) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x))
6.0ms
x
@-inf
((+ (* (* (sqrt 841/108) x) (sqrt 841/108)) 4/29) (* (sqrt 841/108) x) (sqrt 841/108) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* 841/108 x) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (- (* 707281/11664 x) 29/27) (/ (+ (* 707281/11664 (* x x)) 16/841) (+ (* 841/108 x) 4/29)) (+ (* 707281/11664 (* x x)) 16/841) (* x x) (+ (* 841/108 x) 4/29) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x))
2.0ms
x
@0
((+ (* (* (sqrt 841/108) x) (sqrt 841/108)) 4/29) (* (sqrt 841/108) x) (sqrt 841/108) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* 841/108 x) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (- (* 707281/11664 x) 29/27) (/ (+ (* 707281/11664 (* x x)) 16/841) (+ (* 841/108 x) 4/29)) (+ (* 707281/11664 (* x x)) 16/841) (* x x) (+ (* 841/108 x) 4/29) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x))

simplify183.0ms (3.3%)

Memory
17.5MiB live, 199.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177430
1513405
21419388
34028380
08547345
Stop Event
iter limit
node limit
Counts
54 → 54
Calls
Call 1
Inputs
4/29
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* x (sqrt 841/108))
(* 841/108 x)
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2)))))
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696)))))
64/24389
(+ 64/24389 (* -594823321/1259712 (pow x 3)))
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
-29/27
(- (* 707281/11664 x) 29/27)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(+ 16/841 (* 707281/11664 (pow x 2)))
(pow x 2)
(* 841/108 (sqrt x))
(* 707281/11664 x)
(sqrt x)
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -841/108 x)
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x)))))
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x)))))
(* -594823321/1259712 (pow x 3))
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x)))))
(* -1 (* x (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x)))))
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x)))))
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3))))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(* -1 (* x (* (sqrt -707281/11664) (sqrt -1))))
(* -1 (* x (- (* (sqrt -707281/11664) (sqrt -1)) (* 4/29 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -707281/11664) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
4/29
#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))
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -500246412961/10077696 binary64) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -12200509765705829/4353564672 binary64) x) #s(literal 500246412961/10077696 binary64)) (*.f64 x x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
64/24389
#s(literal 64/24389 binary64)
(+ 64/24389 (* -594823321/1259712 (pow x 3)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -29/27 x))
(fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
-29/27
#s(literal -29/27 binary64)
(- (* 707281/11664 x) 29/27)
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(fma.f64 (-.f64 (*.f64 #s(literal 20511149/23328 binary64) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -500246412961/10077696 binary64) x #s(literal 20511149/23328 binary64)) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 16/841 (* 707281/11664 (pow x 2)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))
(pow x 2)
(*.f64 x x)
(* 841/108 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(sqrt x)
(sqrt.f64 x)
(* 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))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 644972544/420707233300201 binary64) x) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* -594823321/1259712 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64))
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712))
(*.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 707281/11664 (pow x 2))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x)
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(fma.f64 (+.f64 (/.f64 #s(literal 3456/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(fma.f64 x (+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 3456/707281 binary64) (/.f64 #s(literal -1492992/17249876309 binary64) x)) (*.f64 x x))) #s(literal -4/29 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))
(* 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 (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 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x)))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 644972544/420707233300201 binary64) x) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3))))))
(*.f64 (+.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 29/27 binary64) x) #s(literal 707281/11664 binary64)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3456/707281 binary64) x) #s(literal -4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) x) #s(literal 3456/707281 binary64)) #s(literal -4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64)))
(* -1 (* x (* (sqrt -707281/11664) (sqrt -1))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -707281/11664 binary64))))
(* -1 (* x (- (* (sqrt -707281/11664) (sqrt -1)) (* 4/29 (/ 1 x)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -707281/11664 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 4/29 binary64))
(* -1 (* (sqrt x) (* (sqrt -707281/11664) (sqrt -1))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -707281/11664 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite329.0ms (5.9%)

Memory
-8.8MiB live, 230.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035113
054113
1205109
2133991
0923789
Stop Event
iter limit
node limit
iter limit
Counts
17 → 824
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(sqrt.f64 #s(literal 841/108 binary64))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #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(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #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 #s(literal 707281/11664 binary64) x) #s(literal 29/27 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)))
(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 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(*.f64 #s(literal 707281/11664 binary64) x)
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64))) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 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 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 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))))) (+.f64 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 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 (*.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 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 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 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 (*.f64 #s(literal -707281/11664 binary64) (*.f64 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 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 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 #s(literal -707281/11664 binary64) (*.f64 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 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 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 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 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 x x) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 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 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 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 (*.f64 x x) #s(literal 841/729 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 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 (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 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))))
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(+.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64))))
(+.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) x) #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 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64))))
(+.f64 (/.f64 (*.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 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 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 (*.f64 x x) #s(literal 841/729 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 3 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 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 (*.f64 x x) #s(literal 841/729 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) (*.f64 x x)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #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 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64)))) (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 6 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 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) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64))))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))))
(+.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 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) (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 -841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))))
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -841/108 binary64) (sqrt.f64 x))) (sqrt.f64 x)))
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))) (*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal -707281/11664 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))) (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))))
(*.f64 (*.f64 #s(literal -841/108 binary64) (sqrt.f64 x)) (*.f64 #s(literal -841/108 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -707281/11664 binary64) x)
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)))
(*.f64 #s(literal 707281/11664 binary64) x)
(*.f64 x #s(literal -707281/11664 binary64))
(*.f64 x #s(literal 707281/11664 binary64))
(pow.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -707281/11664 binary64) x))
(sqrt.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 #s(literal -707281/11664 binary64) x))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x)) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))

eval82.0ms (1.5%)

Memory
30.4MiB live, 132.0MiB allocated
Compiler

Compiled 12 279 to 1 475 computations (88% saved)

prune13.0ms (0.2%)

Memory
-7.9MiB live, 36.1MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New4925497
Fresh101
Picked415
Done022
Total4978505
Accuracy
100.0%
Counts
505 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
78.4%
(/.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)))
77.0%
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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)))
53.2%
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
53.5%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
25.7%
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
48.5%
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))))
48.8%
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Compiler

Compiled 206 to 167 computations (18.9% saved)

simplify70.0ms (1.3%)

Memory
1.2MiB live, 44.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
cost-diff0
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
cost-diff4
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
cost-diff0
(sqrt.f64 #s(literal 841/108 binary64))
cost-diff0
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
cost-diff0
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))))
cost-diff4
(*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))
cost-diff0
(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))
cost-diff0
#s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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)))
cost-diff0
#s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64))
cost-diff0
(fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
cost-diff0
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64))
cost-diff0
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046198
067196
1105180
2216180
3550178
41597166
53236166
63715166
73725166
83736166
93747166
103748166
113748166
123759166
03759164
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.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)
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64))
#s(literal 64/24389 binary64)
(fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
x
#s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64))
#s(literal -29/27 binary64)
#s(literal 16/841 binary64)
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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)))
#s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
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)
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
x
(sqrt.f64 #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(sqrt.f64 x)
x
#s(literal 841/108 binary64)
Outputs
(/.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 #s(literal -707281/11664 binary64)) 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)
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)))
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64))
#s(literal 64/24389 binary64)
(fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(fma.f64 #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
x
#s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64))
#s(literal -29/27 binary64)
#s(literal 16/841 binary64)
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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)))
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)))
#s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
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)
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(*.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(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(sqrt.f64 x)
x
#s(literal 841/108 binary64)

localize129.0ms (2.3%)

Memory
12.2MiB live, 161.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.1328125
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
accuracy0.19140625
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
accuracy18.421135809179955
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
accuracy0.0
(sqrt.f64 #s(literal 841/108 binary64))
accuracy0.109375
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
accuracy0.1875
(*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))
accuracy18.421135809179955
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))))
accuracy0.03125
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
accuracy0.0390625
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))
accuracy0.10546875
(*.f64 #s(literal 707281/11664 binary64) x)
accuracy6.822010295222704
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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)))
accuracy0.04296875
(fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
accuracy8.965174277873132
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
accuracy15.785135165845801
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64))
accuracy15.885079162063157
#s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.03125
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy0.03515625
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
accuracy6.818104045222704
(/.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)))
Samples
55.0ms116×0invalid
53.0ms140×0valid
Compiler

Compiled 169 to 45 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
const: 37.0ms (40.8% of total)
ival-mult: 22.0ms (24.3% of total)
ival-add: 11.0ms (12.1% of total)
ival-div: 9.0ms (9.9% of total)
ival-sqrt: 5.0ms (5.5% of total)
ival-pow: 5.0ms (5.5% of total)
ival-sub: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series183.0ms (3.3%)

Memory
-36.1MiB live, 9.5MiB allocated
Counts
21 → 57
Calls
Call 1
Inputs
(/.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))
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64))
(fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
#s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64))
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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)))
#s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
(*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))))
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
(sqrt.f64 #s(literal 841/108 binary64))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(sqrt.f64 x)
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
Outputs
4/29
(+ 4/29 (* 841/108 x))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(pow x 2)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2)))))
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696)))))
64/24389
(+ 64/24389 (* -594823321/1259712 (pow x 3)))
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
-29/27
(- (* 707281/11664 x) 29/27)
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(+ 16/841 (* 707281/11664 (pow x 2)))
(* 707281/11664 x)
(* x (pow (sqrt 841/108) 2))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* x (sqrt 841/108))
(* 841/108 x)
(* 841/108 (sqrt x))
(sqrt x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x)))))
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x)))))
(* -594823321/1259712 (pow x 3))
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x)))))
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x)))))
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3))))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(* -1 (* x (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -841/108 (* x (pow (sqrt -1) 2)))
(* -841/108 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
176.0ms
x
@inf
((/ (+ (* -707281/11664 (* x x)) 16/841) (+ (* -841/108 x) 4/29)) (+ (* -707281/11664 (* x x)) 16/841) (* x x) (+ (* -841/108 x) 4/29) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (- (* 707281/11664 x) 29/27) (/ (+ (* 707281/11664 (* x x)) 16/841) (+ (* 841/108 x) 4/29)) (+ (* 707281/11664 (* x x)) 16/841) (+ (* (* 707281/11664 x) x) 16/841) (* 707281/11664 x) (* (* x (sqrt 841/108)) (sqrt 841/108)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* x (sqrt 841/108)) (sqrt 841/108) (* (* (sqrt x) 841/108) (sqrt x)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* (sqrt x) 841/108) (sqrt x) (+ (* 841/108 x) 4/29))
4.0ms
x
@-inf
((/ (+ (* -707281/11664 (* x x)) 16/841) (+ (* -841/108 x) 4/29)) (+ (* -707281/11664 (* x x)) 16/841) (* x x) (+ (* -841/108 x) 4/29) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (- (* 707281/11664 x) 29/27) (/ (+ (* 707281/11664 (* x x)) 16/841) (+ (* 841/108 x) 4/29)) (+ (* 707281/11664 (* x x)) 16/841) (+ (* (* 707281/11664 x) x) 16/841) (* 707281/11664 x) (* (* x (sqrt 841/108)) (sqrt 841/108)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* x (sqrt 841/108)) (sqrt 841/108) (* (* (sqrt x) 841/108) (sqrt x)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* (sqrt x) 841/108) (sqrt x) (+ (* 841/108 x) 4/29))
2.0ms
x
@0
((/ (+ (* -707281/11664 (* x x)) 16/841) (+ (* -841/108 x) 4/29)) (+ (* -707281/11664 (* x x)) 16/841) (* x x) (+ (* -841/108 x) 4/29) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (- (* 707281/11664 x) 29/27) (/ (+ (* 707281/11664 (* x x)) 16/841) (+ (* 841/108 x) 4/29)) (+ (* 707281/11664 (* x x)) 16/841) (+ (* (* 707281/11664 x) x) 16/841) (* 707281/11664 x) (* (* x (sqrt 841/108)) (sqrt 841/108)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* x (sqrt 841/108)) (sqrt 841/108) (* (* (sqrt x) 841/108) (sqrt x)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* (sqrt x) 841/108) (sqrt x) (+ (* 841/108 x) 4/29))

simplify164.0ms (3%)

Memory
22.3MiB live, 120.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0172417
1496413
21341398
34170391
08789355
Stop Event
iter limit
node limit
Counts
57 → 57
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(pow x 2)
(+ 4/29 (* -841/108 x))
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2)))))
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696)))))
64/24389
(+ 64/24389 (* -594823321/1259712 (pow x 3)))
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
-29/27
(- (* 707281/11664 x) 29/27)
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(+ 16/841 (* 707281/11664 (pow x 2)))
(* 707281/11664 x)
(* x (pow (sqrt 841/108) 2))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* x (sqrt 841/108))
(* 841/108 x)
(* 841/108 (sqrt x))
(sqrt x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x)))))
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x)))))
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x)))))
(* -594823321/1259712 (pow x 3))
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x)))))
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x)))))
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3))))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(* -1 (* x (pow (sqrt 841/108) 2)))
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x)))))
(* -841/108 (* x (pow (sqrt -1) 2)))
(* -841/108 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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))
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))
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -500246412961/10077696 binary64) (*.f64 x x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -12200509765705829/4353564672 binary64) x) #s(literal 500246412961/10077696 binary64)) (*.f64 x x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
64/24389
#s(literal 64/24389 binary64)
(+ 64/24389 (* -594823321/1259712 (pow x 3)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))
(+ 16/841 (* -29/27 x))
(fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
-29/27
#s(literal -29/27 binary64)
(- (* 707281/11664 x) 29/27)
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108)))
(fma.f64 (-.f64 (*.f64 #s(literal 20511149/23328 binary64) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -500246412961/10077696 binary64) x #s(literal 20511149/23328 binary64)) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 16/841 (* 707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* x (pow (sqrt 841/108) 2))
(*.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))
(* x (sqrt 841/108))
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(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)
(* -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 (+ 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 644972544/420707233300201 binary64) x) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* -594823321/1259712 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64))
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712))
(*.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x)
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x))))
(fma.f64 (+.f64 (/.f64 #s(literal 3456/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3))))))
(fma.f64 (+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 3456/707281 binary64) (/.f64 #s(literal -1492992/17249876309 binary64) x)) (*.f64 x x))) x #s(literal -4/29 binary64))
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(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 (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x)))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 644972544/420707233300201 binary64) x) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3))))))
(*.f64 (+.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 29/27 binary64) x) #s(literal 707281/11664 binary64)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3456/707281 binary64) x) #s(literal -4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) x) #s(literal 3456/707281 binary64)) #s(literal -4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64)))
(* -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))
(* -841/108 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 841/108 binary64) x)
(* -841/108 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite162.0ms (2.9%)

Memory
-15.9MiB live, 217.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046180
067169
1237145
21413141
09128139
Stop Event
iter limit
node limit
iter limit
Counts
21 → 778
Calls
Call 1
Inputs
(/.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))
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64))
(fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
#s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64))
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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)))
#s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
(*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))))
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64)))
(sqrt.f64 #s(literal 841/108 binary64))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))
(sqrt.f64 x)
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #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 (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 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 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))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #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 (-.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 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 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 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 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 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 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 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.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 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 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 x x) #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 (+.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 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 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 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 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 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 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 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 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 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 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 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 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 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 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 (*.f64 x x) #s(literal -841/729 binary64)) (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 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.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 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 (fma.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))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.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)) (-.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))) #s(literal 3 binary64)))) (*.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 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))))
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(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 9 binary64)) (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 4096/594823321 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64))))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 (/.f64 #s(literal 262144/14507145975869 binary64) (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 4096/594823321 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64))))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal -841/729 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) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal -841/729 binary64))))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 (/.f64 (*.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 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 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 (*.f64 x x) #s(literal -841/729 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 3 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 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 (*.f64 x x) #s(literal -841/729 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #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 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal -841/729 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal -841/729 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal -841/729 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal -841/729 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (*.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (*.f64 x #s(literal -29/27 binary64))))))
(+.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (*.f64 x #s(literal -29/27 binary64))))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (*.f64 x #s(literal -29/27 binary64))))))
(+.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 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 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 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 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 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 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 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 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))

eval211.0ms (3.8%)

Memory
-15.4MiB live, 101.7MiB allocated
Compiler

Compiled 11 602 to 1 375 computations (88.1% saved)

prune12.0ms (0.2%)

Memory
26.7MiB live, 26.7MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New4492451
Fresh000
Picked145
Done033
Total4509459
Accuracy
100.0%
Counts
459 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
77.0%
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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)))
27.0%
(/.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)))
53.2%
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
53.5%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
25.7%
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
48.5%
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))))
48.8%
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
16.6%
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))))
Compiler

Compiled 454 to 235 computations (48.2% saved)

regimes129.0ms (2.3%)

Memory
-25.2MiB live, 23.3MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))))
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #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 #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) (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)))
(/.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 #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)))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 841/108 binary64) x) #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 #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 #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)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Calls

3 calls:

117.0ms
x
5.0ms
(+.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)
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 (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x))
Outputs
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 x) 841/108)) (sqrt 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
98.5%3(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
98.5%3(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
98.5%3x
Compiler

Compiled 15 to 15 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB 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
53.5%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
53.5%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
53.5%1x
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch121.0ms (2.2%)

Memory
-2.8MiB live, 43.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
103.0ms
0.001799076955506721
103650232.64027646
14.0ms
-16724627.857767414
-8.098646646465124e-10
Samples
105.0ms320×0valid
Compiler

Compiled 532 to 513 computations (3.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 92.0ms (93.2% of total)
ival-div: 5.0ms (5.1% of total)
ival-add: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Memory
20.1MiB live, 20.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02742
14142
27342
312842
418442
519942
620242
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 x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 x #s(literal 5188146770730811/288230376151711744 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 x #s(literal 5188146770730811/288230376151711744 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 5188146770730811/288230376151711744 binary64)))) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

soundness366.0ms (6.6%)

Memory
-15.9MiB live, 266.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
01510
13210
215310
3118410
085739
01014
13214
26214
312214
417214
521914
627814
737714
841314
941714
041712
0208477
1620465
21785443
35372436
08338411
Stop Event
fuel
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
Compiler

Compiled 127 to 70 computations (44.9% saved)

preprocess22.0ms (0.4%)

Memory
-3.9MiB live, 42.1MiB allocated
Compiler

Compiled 118 to 78 computations (33.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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